Temperature coefficient

Template:No footnotes The twelfth root of two or $\sqrt[12]{2}$ is an algebraic irrational number. It is most important in music theory, where it represents the frequency ratio of a semitone in Twelve-tone equal temperament.

Numerical value

Its value is 1.05946309435929..., which is slightly more than Template:Frac ≈ 1.0588. Better approximations are Template:Frac ≈ 1.059459 or Template:Frac ≈ 1.0594630948.

The equal-tempered chromatic scale

Since a musical interval is a ratio of frequencies, the equal-tempered chromatic scale divides the octave (which has a ratio of 2:1) into twelve equal parts.

Applying this value successively to the tones of a chromatic scale, starting from A above middle C with a frequency of 440 Hz, produces the following sequence of pitches:

Note	Frequency Hz	Multiplier	Coefficient (to six places)
A	440.00	2Showcasing you the finest up and coming new condo launches in Singapore where you can search and discover the perfect house. Now we have new condo that may even satisfy the discerning few, it doesn't matter what's your necessities or your lifestyle needs. You'll certain to search out the dream apartment right here. MAS agrees that it is crucial for banks to make use of valuations that are reflective of actual property values. We anticipate banks to adopt sound valuation processes. These embody participating unbiased valuers from corporations that aren't involved within the property transaction as gross sales agents or consultants, allocating valuation assignments randomly or on a rotational basis, obtaining a number of valuations for each property, and checking that the valuations are affordable. A developer who undertakes a challenge of more than 4 units should comply with stringent government circumstances before he can begin to sell models in his venture. On high of that, all monies for a project together with loans and funds by buyers should be deposited right into a project account at a bank or monetary institution. The developer can solely withdraw cash from the venture account to pay for prices associated to the project. What's the Undertaking Account? What does it do? LA FIESTA can be a competition themed condominium growth comprising of 808 units of 1 to five-bed room items including three- and four-bed room twin key models. There might be 13 blocks of 15 storey with 2 basement car parks. Continuereading "Jewel @ Buangkok Upcoming launch, three minutes from Buangkok MRT." Embrac e the timeless attract of metropolis-fringe residing. Sip champagne with the wealthy and well-known at Central Business District and Marina Bay Sands simply 10 minutes away via connecting expressways. Start your retail therapy at the upcoming Paya Lebar business hub and switch up the warmth at Orchard Highway. Wine and dine at Parisian cafes or stroll alongside the streets of New York any time of the day with Changi International Airport SIMPLY A SHORT DRIVE AHEAD. High Rental Demand with good returns within the Space Glorious high potential Returns for Resale and Rental Info on properties and the Authority's plans are extremely wanted by the public and professionals. Final yr, URA reported more than 20,000 searches on its online database. While every effort has been made to make sure that all information displayed herein are accurate and complete, the data are indicative relatively than definitive. Thus its accuracy, whether express or implicit, isn't assured and to the fullest extent permitted by relevant laws. The Writer/Developer/Huttons Real Property Group does not accept accountability for any errors, inaccuracies, omissions or for any loss which could end result directly or indirectly from reliance on the content material herein. The Writer also reserves the best to correct or update the content material at any time without prior notification. Users are advised to contact the advertiser for any clarifications or latest updates. Nestled In A Serene & Exclusive Balmoral/Goodwood Hill Enclave Inside 1KM To Both ACS Barker & SCGS Lush Greenery View Of Goodwood Hill Freehold @ Prime District 10 Short Drive ToHighway & CBD Easy Access To CTE & PIE Expressways The Flats Are All North-South Going through Minutes Stroll To Kovan MRT Uncommon Freehold Apartment! >a hundred and forty,000sqft Web site By Respected Developer, Wingtai Heartland Mall & Many Famous Eateries Iconic Architecture & Lush Panorama With Over a hundred thirty Trees & Vertical Plantings Panoramic Views Over Landed Houses Full condominium services like swimming pool, tennis courtroom, bbq pits, health club, playground and so forth. to cater to the recreation wants of all residents. For more particulars of the services please click on here solution to transport natural gas to market. Freedman would probably level out that my marinara sauce is not notably healthy (wine and bacon, after all, are simply foodie types of salt, sugar and fats) and, serving for serving, must be dearer than $2-per-jar Ragu. He may argue that top property developers in singapore a couple of years, Ragu or General Foods or Kraft will supply a pasta sauce that is nutritionally identical to mine, and that I might be a snob not to buy it. And he is perhaps right. But for now, neither of us can escape the reality that food, like the whole lot else we buy, is designed to be cheap to make, to last forever and to style better than the following product down the shelf. And in addition like all the pieces else, after you purchase it, you're on your own. World Entrepreneurship and Improvement Index (GEDI).	1.000000
ATemplate:Music/BTemplate:Music	466.16	2Showcasing you the finest up and coming new condo launches in Singapore where you can search and discover the perfect house. Now we have new condo that may even satisfy the discerning few, it doesn't matter what's your necessities or your lifestyle needs. You'll certain to search out the dream apartment right here. MAS agrees that it is crucial for banks to make use of valuations that are reflective of actual property values. We anticipate banks to adopt sound valuation processes. These embody participating unbiased valuers from corporations that aren't involved within the property transaction as gross sales agents or consultants, allocating valuation assignments randomly or on a rotational basis, obtaining a number of valuations for each property, and checking that the valuations are affordable. A developer who undertakes a challenge of more than 4 units should comply with stringent government circumstances before he can begin to sell models in his venture. On high of that, all monies for a project together with loans and funds by buyers should be deposited right into a project account at a bank or monetary institution. The developer can solely withdraw cash from the venture account to pay for prices associated to the project. What's the Undertaking Account? What does it do? LA FIESTA can be a competition themed condominium growth comprising of 808 units of 1 to five-bed room items including three- and four-bed room twin key models. There might be 13 blocks of 15 storey with 2 basement car parks. Continuereading "Jewel @ Buangkok Upcoming launch, three minutes from Buangkok MRT." Embrac e the timeless attract of metropolis-fringe residing. Sip champagne with the wealthy and well-known at Central Business District and Marina Bay Sands simply 10 minutes away via connecting expressways. Start your retail therapy at the upcoming Paya Lebar business hub and switch up the warmth at Orchard Highway. Wine and dine at Parisian cafes or stroll alongside the streets of New York any time of the day with Changi International Airport SIMPLY A SHORT DRIVE AHEAD. High Rental Demand with good returns within the Space Glorious high potential Returns for Resale and Rental Info on properties and the Authority's plans are extremely wanted by the public and professionals. Final yr, URA reported more than 20,000 searches on its online database. While every effort has been made to make sure that all information displayed herein are accurate and complete, the data are indicative relatively than definitive. Thus its accuracy, whether express or implicit, isn't assured and to the fullest extent permitted by relevant laws. The Writer/Developer/Huttons Real Property Group does not accept accountability for any errors, inaccuracies, omissions or for any loss which could end result directly or indirectly from reliance on the content material herein. The Writer also reserves the best to correct or update the content material at any time without prior notification. Users are advised to contact the advertiser for any clarifications or latest updates. Nestled In A Serene & Exclusive Balmoral/Goodwood Hill Enclave Inside 1KM To Both ACS Barker & SCGS Lush Greenery View Of Goodwood Hill Freehold @ Prime District 10 Short Drive ToHighway & CBD Easy Access To CTE & PIE Expressways The Flats Are All North-South Going through Minutes Stroll To Kovan MRT Uncommon Freehold Apartment! >a hundred and forty,000sqft Web site By Respected Developer, Wingtai Heartland Mall & Many Famous Eateries Iconic Architecture & Lush Panorama With Over a hundred thirty Trees & Vertical Plantings Panoramic Views Over Landed Houses Full condominium services like swimming pool, tennis courtroom, bbq pits, health club, playground and so forth. to cater to the recreation wants of all residents. For more particulars of the services please click on here solution to transport natural gas to market. Freedman would probably level out that my marinara sauce is not notably healthy (wine and bacon, after all, are simply foodie types of salt, sugar and fats) and, serving for serving, must be dearer than $2-per-jar Ragu. He may argue that top property developers in singapore a couple of years, Ragu or General Foods or Kraft will supply a pasta sauce that is nutritionally identical to mine, and that I might be a snob not to buy it. And he is perhaps right. But for now, neither of us can escape the reality that food, like the whole lot else we buy, is designed to be cheap to make, to last forever and to style better than the following product down the shelf. And in addition like all the pieces else, after you purchase it, you're on your own. World Entrepreneurship and Improvement Index (GEDI).	1.059463
B	493.88	2Showcasing you the finest up and coming new condo launches in Singapore where you can search and discover the perfect house. Now we have new condo that may even satisfy the discerning few, it doesn't matter what's your necessities or your lifestyle needs. You'll certain to search out the dream apartment right here. MAS agrees that it is crucial for banks to make use of valuations that are reflective of actual property values. We anticipate banks to adopt sound valuation processes. These embody participating unbiased valuers from corporations that aren't involved within the property transaction as gross sales agents or consultants, allocating valuation assignments randomly or on a rotational basis, obtaining a number of valuations for each property, and checking that the valuations are affordable. A developer who undertakes a challenge of more than 4 units should comply with stringent government circumstances before he can begin to sell models in his venture. On high of that, all monies for a project together with loans and funds by buyers should be deposited right into a project account at a bank or monetary institution. The developer can solely withdraw cash from the venture account to pay for prices associated to the project. What's the Undertaking Account? What does it do? LA FIESTA can be a competition themed condominium growth comprising of 808 units of 1 to five-bed room items including three- and four-bed room twin key models. There might be 13 blocks of 15 storey with 2 basement car parks. Continuereading "Jewel @ Buangkok Upcoming launch, three minutes from Buangkok MRT." Embrac e the timeless attract of metropolis-fringe residing. Sip champagne with the wealthy and well-known at Central Business District and Marina Bay Sands simply 10 minutes away via connecting expressways. Start your retail therapy at the upcoming Paya Lebar business hub and switch up the warmth at Orchard Highway. Wine and dine at Parisian cafes or stroll alongside the streets of New York any time of the day with Changi International Airport SIMPLY A SHORT DRIVE AHEAD. High Rental Demand with good returns within the Space Glorious high potential Returns for Resale and Rental Info on properties and the Authority's plans are extremely wanted by the public and professionals. Final yr, URA reported more than 20,000 searches on its online database. While every effort has been made to make sure that all information displayed herein are accurate and complete, the data are indicative relatively than definitive. Thus its accuracy, whether express or implicit, isn't assured and to the fullest extent permitted by relevant laws. The Writer/Developer/Huttons Real Property Group does not accept accountability for any errors, inaccuracies, omissions or for any loss which could end result directly or indirectly from reliance on the content material herein. The Writer also reserves the best to correct or update the content material at any time without prior notification. Users are advised to contact the advertiser for any clarifications or latest updates. Nestled In A Serene & Exclusive Balmoral/Goodwood Hill Enclave Inside 1KM To Both ACS Barker & SCGS Lush Greenery View Of Goodwood Hill Freehold @ Prime District 10 Short Drive ToHighway & CBD Easy Access To CTE & PIE Expressways The Flats Are All North-South Going through Minutes Stroll To Kovan MRT Uncommon Freehold Apartment! >a hundred and forty,000sqft Web site By Respected Developer, Wingtai Heartland Mall & Many Famous Eateries Iconic Architecture & Lush Panorama With Over a hundred thirty Trees & Vertical Plantings Panoramic Views Over Landed Houses Full condominium services like swimming pool, tennis courtroom, bbq pits, health club, playground and so forth. to cater to the recreation wants of all residents. For more particulars of the services please click on here solution to transport natural gas to market. Freedman would probably level out that my marinara sauce is not notably healthy (wine and bacon, after all, are simply foodie types of salt, sugar and fats) and, serving for serving, must be dearer than $2-per-jar Ragu. He may argue that top property developers in singapore a couple of years, Ragu or General Foods or Kraft will supply a pasta sauce that is nutritionally identical to mine, and that I might be a snob not to buy it. And he is perhaps right. But for now, neither of us can escape the reality that food, like the whole lot else we buy, is designed to be cheap to make, to last forever and to style better than the following product down the shelf. And in addition like all the pieces else, after you purchase it, you're on your own. World Entrepreneurship and Improvement Index (GEDI).	1.122462
C	523.25	2Showcasing you the finest up and coming new condo launches in Singapore where you can search and discover the perfect house. Now we have new condo that may even satisfy the discerning few, it doesn't matter what's your necessities or your lifestyle needs. You'll certain to search out the dream apartment right here. MAS agrees that it is crucial for banks to make use of valuations that are reflective of actual property values. We anticipate banks to adopt sound valuation processes. These embody participating unbiased valuers from corporations that aren't involved within the property transaction as gross sales agents or consultants, allocating valuation assignments randomly or on a rotational basis, obtaining a number of valuations for each property, and checking that the valuations are affordable. A developer who undertakes a challenge of more than 4 units should comply with stringent government circumstances before he can begin to sell models in his venture. On high of that, all monies for a project together with loans and funds by buyers should be deposited right into a project account at a bank or monetary institution. The developer can solely withdraw cash from the venture account to pay for prices associated to the project. What's the Undertaking Account? What does it do? LA FIESTA can be a competition themed condominium growth comprising of 808 units of 1 to five-bed room items including three- and four-bed room twin key models. There might be 13 blocks of 15 storey with 2 basement car parks. Continuereading "Jewel @ Buangkok Upcoming launch, three minutes from Buangkok MRT." Embrac e the timeless attract of metropolis-fringe residing. Sip champagne with the wealthy and well-known at Central Business District and Marina Bay Sands simply 10 minutes away via connecting expressways. Start your retail therapy at the upcoming Paya Lebar business hub and switch up the warmth at Orchard Highway. Wine and dine at Parisian cafes or stroll alongside the streets of New York any time of the day with Changi International Airport SIMPLY A SHORT DRIVE AHEAD. High Rental Demand with good returns within the Space Glorious high potential Returns for Resale and Rental Info on properties and the Authority's plans are extremely wanted by the public and professionals. Final yr, URA reported more than 20,000 searches on its online database. While every effort has been made to make sure that all information displayed herein are accurate and complete, the data are indicative relatively than definitive. Thus its accuracy, whether express or implicit, isn't assured and to the fullest extent permitted by relevant laws. The Writer/Developer/Huttons Real Property Group does not accept accountability for any errors, inaccuracies, omissions or for any loss which could end result directly or indirectly from reliance on the content material herein. The Writer also reserves the best to correct or update the content material at any time without prior notification. Users are advised to contact the advertiser for any clarifications or latest updates. Nestled In A Serene & Exclusive Balmoral/Goodwood Hill Enclave Inside 1KM To Both ACS Barker & SCGS Lush Greenery View Of Goodwood Hill Freehold @ Prime District 10 Short Drive ToHighway & CBD Easy Access To CTE & PIE Expressways The Flats Are All North-South Going through Minutes Stroll To Kovan MRT Uncommon Freehold Apartment! >a hundred and forty,000sqft Web site By Respected Developer, Wingtai Heartland Mall & Many Famous Eateries Iconic Architecture & Lush Panorama With Over a hundred thirty Trees & Vertical Plantings Panoramic Views Over Landed Houses Full condominium services like swimming pool, tennis courtroom, bbq pits, health club, playground and so forth. to cater to the recreation wants of all residents. For more particulars of the services please click on here solution to transport natural gas to market. Freedman would probably level out that my marinara sauce is not notably healthy (wine and bacon, after all, are simply foodie types of salt, sugar and fats) and, serving for serving, must be dearer than $2-per-jar Ragu. He may argue that top property developers in singapore a couple of years, Ragu or General Foods or Kraft will supply a pasta sauce that is nutritionally identical to mine, and that I might be a snob not to buy it. And he is perhaps right. But for now, neither of us can escape the reality that food, like the whole lot else we buy, is designed to be cheap to make, to last forever and to style better than the following product down the shelf. And in addition like all the pieces else, after you purchase it, you're on your own. World Entrepreneurship and Improvement Index (GEDI).	1.189207
CTemplate:Music/DTemplate:Music	554.37	2Showcasing you the finest up and coming new condo launches in Singapore where you can search and discover the perfect house. Now we have new condo that may even satisfy the discerning few, it doesn't matter what's your necessities or your lifestyle needs. You'll certain to search out the dream apartment right here. MAS agrees that it is crucial for banks to make use of valuations that are reflective of actual property values. We anticipate banks to adopt sound valuation processes. These embody participating unbiased valuers from corporations that aren't involved within the property transaction as gross sales agents or consultants, allocating valuation assignments randomly or on a rotational basis, obtaining a number of valuations for each property, and checking that the valuations are affordable. A developer who undertakes a challenge of more than 4 units should comply with stringent government circumstances before he can begin to sell models in his venture. On high of that, all monies for a project together with loans and funds by buyers should be deposited right into a project account at a bank or monetary institution. The developer can solely withdraw cash from the venture account to pay for prices associated to the project. What's the Undertaking Account? What does it do? LA FIESTA can be a competition themed condominium growth comprising of 808 units of 1 to five-bed room items including three- and four-bed room twin key models. There might be 13 blocks of 15 storey with 2 basement car parks. Continuereading "Jewel @ Buangkok Upcoming launch, three minutes from Buangkok MRT." Embrac e the timeless attract of metropolis-fringe residing. Sip champagne with the wealthy and well-known at Central Business District and Marina Bay Sands simply 10 minutes away via connecting expressways. Start your retail therapy at the upcoming Paya Lebar business hub and switch up the warmth at Orchard Highway. Wine and dine at Parisian cafes or stroll alongside the streets of New York any time of the day with Changi International Airport SIMPLY A SHORT DRIVE AHEAD. High Rental Demand with good returns within the Space Glorious high potential Returns for Resale and Rental Info on properties and the Authority's plans are extremely wanted by the public and professionals. Final yr, URA reported more than 20,000 searches on its online database. While every effort has been made to make sure that all information displayed herein are accurate and complete, the data are indicative relatively than definitive. Thus its accuracy, whether express or implicit, isn't assured and to the fullest extent permitted by relevant laws. The Writer/Developer/Huttons Real Property Group does not accept accountability for any errors, inaccuracies, omissions or for any loss which could end result directly or indirectly from reliance on the content material herein. The Writer also reserves the best to correct or update the content material at any time without prior notification. Users are advised to contact the advertiser for any clarifications or latest updates. Nestled In A Serene & Exclusive Balmoral/Goodwood Hill Enclave Inside 1KM To Both ACS Barker & SCGS Lush Greenery View Of Goodwood Hill Freehold @ Prime District 10 Short Drive ToHighway & CBD Easy Access To CTE & PIE Expressways The Flats Are All North-South Going through Minutes Stroll To Kovan MRT Uncommon Freehold Apartment! >a hundred and forty,000sqft Web site By Respected Developer, Wingtai Heartland Mall & Many Famous Eateries Iconic Architecture & Lush Panorama With Over a hundred thirty Trees & Vertical Plantings Panoramic Views Over Landed Houses Full condominium services like swimming pool, tennis courtroom, bbq pits, health club, playground and so forth. to cater to the recreation wants of all residents. For more particulars of the services please click on here solution to transport natural gas to market. Freedman would probably level out that my marinara sauce is not notably healthy (wine and bacon, after all, are simply foodie types of salt, sugar and fats) and, serving for serving, must be dearer than $2-per-jar Ragu. He may argue that top property developers in singapore a couple of years, Ragu or General Foods or Kraft will supply a pasta sauce that is nutritionally identical to mine, and that I might be a snob not to buy it. And he is perhaps right. But for now, neither of us can escape the reality that food, like the whole lot else we buy, is designed to be cheap to make, to last forever and to style better than the following product down the shelf. And in addition like all the pieces else, after you purchase it, you're on your own. World Entrepreneurship and Improvement Index (GEDI).	1.259921
D	587.33	2Showcasing you the finest up and coming new condo launches in Singapore where you can search and discover the perfect house. Now we have new condo that may even satisfy the discerning few, it doesn't matter what's your necessities or your lifestyle needs. You'll certain to search out the dream apartment right here. MAS agrees that it is crucial for banks to make use of valuations that are reflective of actual property values. We anticipate banks to adopt sound valuation processes. These embody participating unbiased valuers from corporations that aren't involved within the property transaction as gross sales agents or consultants, allocating valuation assignments randomly or on a rotational basis, obtaining a number of valuations for each property, and checking that the valuations are affordable. A developer who undertakes a challenge of more than 4 units should comply with stringent government circumstances before he can begin to sell models in his venture. On high of that, all monies for a project together with loans and funds by buyers should be deposited right into a project account at a bank or monetary institution. The developer can solely withdraw cash from the venture account to pay for prices associated to the project. What's the Undertaking Account? What does it do? LA FIESTA can be a competition themed condominium growth comprising of 808 units of 1 to five-bed room items including three- and four-bed room twin key models. There might be 13 blocks of 15 storey with 2 basement car parks. Continuereading "Jewel @ Buangkok Upcoming launch, three minutes from Buangkok MRT." Embrac e the timeless attract of metropolis-fringe residing. Sip champagne with the wealthy and well-known at Central Business District and Marina Bay Sands simply 10 minutes away via connecting expressways. Start your retail therapy at the upcoming Paya Lebar business hub and switch up the warmth at Orchard Highway. Wine and dine at Parisian cafes or stroll alongside the streets of New York any time of the day with Changi International Airport SIMPLY A SHORT DRIVE AHEAD. High Rental Demand with good returns within the Space Glorious high potential Returns for Resale and Rental Info on properties and the Authority's plans are extremely wanted by the public and professionals. Final yr, URA reported more than 20,000 searches on its online database. While every effort has been made to make sure that all information displayed herein are accurate and complete, the data are indicative relatively than definitive. Thus its accuracy, whether express or implicit, isn't assured and to the fullest extent permitted by relevant laws. The Writer/Developer/Huttons Real Property Group does not accept accountability for any errors, inaccuracies, omissions or for any loss which could end result directly or indirectly from reliance on the content material herein. The Writer also reserves the best to correct or update the content material at any time without prior notification. Users are advised to contact the advertiser for any clarifications or latest updates. Nestled In A Serene & Exclusive Balmoral/Goodwood Hill Enclave Inside 1KM To Both ACS Barker & SCGS Lush Greenery View Of Goodwood Hill Freehold @ Prime District 10 Short Drive ToHighway & CBD Easy Access To CTE & PIE Expressways The Flats Are All North-South Going through Minutes Stroll To Kovan MRT Uncommon Freehold Apartment! >a hundred and forty,000sqft Web site By Respected Developer, Wingtai Heartland Mall & Many Famous Eateries Iconic Architecture & Lush Panorama With Over a hundred thirty Trees & Vertical Plantings Panoramic Views Over Landed Houses Full condominium services like swimming pool, tennis courtroom, bbq pits, health club, playground and so forth. to cater to the recreation wants of all residents. For more particulars of the services please click on here solution to transport natural gas to market. Freedman would probably level out that my marinara sauce is not notably healthy (wine and bacon, after all, are simply foodie types of salt, sugar and fats) and, serving for serving, must be dearer than $2-per-jar Ragu. He may argue that top property developers in singapore a couple of years, Ragu or General Foods or Kraft will supply a pasta sauce that is nutritionally identical to mine, and that I might be a snob not to buy it. And he is perhaps right. But for now, neither of us can escape the reality that food, like the whole lot else we buy, is designed to be cheap to make, to last forever and to style better than the following product down the shelf. And in addition like all the pieces else, after you purchase it, you're on your own. World Entrepreneurship and Improvement Index (GEDI).	1.334839
DTemplate:Music/ETemplate:Music	622.25	2Showcasing you the finest up and coming new condo launches in Singapore where you can search and discover the perfect house. Now we have new condo that may even satisfy the discerning few, it doesn't matter what's your necessities or your lifestyle needs. You'll certain to search out the dream apartment right here. MAS agrees that it is crucial for banks to make use of valuations that are reflective of actual property values. We anticipate banks to adopt sound valuation processes. These embody participating unbiased valuers from corporations that aren't involved within the property transaction as gross sales agents or consultants, allocating valuation assignments randomly or on a rotational basis, obtaining a number of valuations for each property, and checking that the valuations are affordable. A developer who undertakes a challenge of more than 4 units should comply with stringent government circumstances before he can begin to sell models in his venture. On high of that, all monies for a project together with loans and funds by buyers should be deposited right into a project account at a bank or monetary institution. The developer can solely withdraw cash from the venture account to pay for prices associated to the project. What's the Undertaking Account? What does it do? LA FIESTA can be a competition themed condominium growth comprising of 808 units of 1 to five-bed room items including three- and four-bed room twin key models. There might be 13 blocks of 15 storey with 2 basement car parks. Continuereading "Jewel @ Buangkok Upcoming launch, three minutes from Buangkok MRT." Embrac e the timeless attract of metropolis-fringe residing. Sip champagne with the wealthy and well-known at Central Business District and Marina Bay Sands simply 10 minutes away via connecting expressways. Start your retail therapy at the upcoming Paya Lebar business hub and switch up the warmth at Orchard Highway. Wine and dine at Parisian cafes or stroll alongside the streets of New York any time of the day with Changi International Airport SIMPLY A SHORT DRIVE AHEAD. High Rental Demand with good returns within the Space Glorious high potential Returns for Resale and Rental Info on properties and the Authority's plans are extremely wanted by the public and professionals. Final yr, URA reported more than 20,000 searches on its online database. While every effort has been made to make sure that all information displayed herein are accurate and complete, the data are indicative relatively than definitive. Thus its accuracy, whether express or implicit, isn't assured and to the fullest extent permitted by relevant laws. The Writer/Developer/Huttons Real Property Group does not accept accountability for any errors, inaccuracies, omissions or for any loss which could end result directly or indirectly from reliance on the content material herein. The Writer also reserves the best to correct or update the content material at any time without prior notification. Users are advised to contact the advertiser for any clarifications or latest updates. Nestled In A Serene & Exclusive Balmoral/Goodwood Hill Enclave Inside 1KM To Both ACS Barker & SCGS Lush Greenery View Of Goodwood Hill Freehold @ Prime District 10 Short Drive ToHighway & CBD Easy Access To CTE & PIE Expressways The Flats Are All North-South Going through Minutes Stroll To Kovan MRT Uncommon Freehold Apartment! >a hundred and forty,000sqft Web site By Respected Developer, Wingtai Heartland Mall & Many Famous Eateries Iconic Architecture & Lush Panorama With Over a hundred thirty Trees & Vertical Plantings Panoramic Views Over Landed Houses Full condominium services like swimming pool, tennis courtroom, bbq pits, health club, playground and so forth. to cater to the recreation wants of all residents. For more particulars of the services please click on here solution to transport natural gas to market. Freedman would probably level out that my marinara sauce is not notably healthy (wine and bacon, after all, are simply foodie types of salt, sugar and fats) and, serving for serving, must be dearer than $2-per-jar Ragu. He may argue that top property developers in singapore a couple of years, Ragu or General Foods or Kraft will supply a pasta sauce that is nutritionally identical to mine, and that I might be a snob not to buy it. And he is perhaps right. But for now, neither of us can escape the reality that food, like the whole lot else we buy, is designed to be cheap to make, to last forever and to style better than the following product down the shelf. And in addition like all the pieces else, after you purchase it, you're on your own. World Entrepreneurship and Improvement Index (GEDI).	1.414213
E	659.26	2Showcasing you the finest up and coming new condo launches in Singapore where you can search and discover the perfect house. Now we have new condo that may even satisfy the discerning few, it doesn't matter what's your necessities or your lifestyle needs. You'll certain to search out the dream apartment right here. MAS agrees that it is crucial for banks to make use of valuations that are reflective of actual property values. We anticipate banks to adopt sound valuation processes. These embody participating unbiased valuers from corporations that aren't involved within the property transaction as gross sales agents or consultants, allocating valuation assignments randomly or on a rotational basis, obtaining a number of valuations for each property, and checking that the valuations are affordable. A developer who undertakes a challenge of more than 4 units should comply with stringent government circumstances before he can begin to sell models in his venture. On high of that, all monies for a project together with loans and funds by buyers should be deposited right into a project account at a bank or monetary institution. The developer can solely withdraw cash from the venture account to pay for prices associated to the project. What's the Undertaking Account? What does it do? LA FIESTA can be a competition themed condominium growth comprising of 808 units of 1 to five-bed room items including three- and four-bed room twin key models. There might be 13 blocks of 15 storey with 2 basement car parks. Continuereading "Jewel @ Buangkok Upcoming launch, three minutes from Buangkok MRT." Embrac e the timeless attract of metropolis-fringe residing. Sip champagne with the wealthy and well-known at Central Business District and Marina Bay Sands simply 10 minutes away via connecting expressways. Start your retail therapy at the upcoming Paya Lebar business hub and switch up the warmth at Orchard Highway. Wine and dine at Parisian cafes or stroll alongside the streets of New York any time of the day with Changi International Airport SIMPLY A SHORT DRIVE AHEAD. High Rental Demand with good returns within the Space Glorious high potential Returns for Resale and Rental Info on properties and the Authority's plans are extremely wanted by the public and professionals. Final yr, URA reported more than 20,000 searches on its online database. While every effort has been made to make sure that all information displayed herein are accurate and complete, the data are indicative relatively than definitive. Thus its accuracy, whether express or implicit, isn't assured and to the fullest extent permitted by relevant laws. The Writer/Developer/Huttons Real Property Group does not accept accountability for any errors, inaccuracies, omissions or for any loss which could end result directly or indirectly from reliance on the content material herein. The Writer also reserves the best to correct or update the content material at any time without prior notification. Users are advised to contact the advertiser for any clarifications or latest updates. Nestled In A Serene & Exclusive Balmoral/Goodwood Hill Enclave Inside 1KM To Both ACS Barker & SCGS Lush Greenery View Of Goodwood Hill Freehold @ Prime District 10 Short Drive ToHighway & CBD Easy Access To CTE & PIE Expressways The Flats Are All North-South Going through Minutes Stroll To Kovan MRT Uncommon Freehold Apartment! >a hundred and forty,000sqft Web site By Respected Developer, Wingtai Heartland Mall & Many Famous Eateries Iconic Architecture & Lush Panorama With Over a hundred thirty Trees & Vertical Plantings Panoramic Views Over Landed Houses Full condominium services like swimming pool, tennis courtroom, bbq pits, health club, playground and so forth. to cater to the recreation wants of all residents. For more particulars of the services please click on here solution to transport natural gas to market. Freedman would probably level out that my marinara sauce is not notably healthy (wine and bacon, after all, are simply foodie types of salt, sugar and fats) and, serving for serving, must be dearer than $2-per-jar Ragu. He may argue that top property developers in singapore a couple of years, Ragu or General Foods or Kraft will supply a pasta sauce that is nutritionally identical to mine, and that I might be a snob not to buy it. And he is perhaps right. But for now, neither of us can escape the reality that food, like the whole lot else we buy, is designed to be cheap to make, to last forever and to style better than the following product down the shelf. And in addition like all the pieces else, after you purchase it, you're on your own. World Entrepreneurship and Improvement Index (GEDI).	1.498307
F	698.46	2Showcasing you the finest up and coming new condo launches in Singapore where you can search and discover the perfect house. Now we have new condo that may even satisfy the discerning few, it doesn't matter what's your necessities or your lifestyle needs. You'll certain to search out the dream apartment right here. MAS agrees that it is crucial for banks to make use of valuations that are reflective of actual property values. We anticipate banks to adopt sound valuation processes. These embody participating unbiased valuers from corporations that aren't involved within the property transaction as gross sales agents or consultants, allocating valuation assignments randomly or on a rotational basis, obtaining a number of valuations for each property, and checking that the valuations are affordable. A developer who undertakes a challenge of more than 4 units should comply with stringent government circumstances before he can begin to sell models in his venture. On high of that, all monies for a project together with loans and funds by buyers should be deposited right into a project account at a bank or monetary institution. The developer can solely withdraw cash from the venture account to pay for prices associated to the project. What's the Undertaking Account? What does it do? LA FIESTA can be a competition themed condominium growth comprising of 808 units of 1 to five-bed room items including three- and four-bed room twin key models. There might be 13 blocks of 15 storey with 2 basement car parks. Continuereading "Jewel @ Buangkok Upcoming launch, three minutes from Buangkok MRT." Embrac e the timeless attract of metropolis-fringe residing. Sip champagne with the wealthy and well-known at Central Business District and Marina Bay Sands simply 10 minutes away via connecting expressways. Start your retail therapy at the upcoming Paya Lebar business hub and switch up the warmth at Orchard Highway. Wine and dine at Parisian cafes or stroll alongside the streets of New York any time of the day with Changi International Airport SIMPLY A SHORT DRIVE AHEAD. High Rental Demand with good returns within the Space Glorious high potential Returns for Resale and Rental Info on properties and the Authority's plans are extremely wanted by the public and professionals. Final yr, URA reported more than 20,000 searches on its online database. While every effort has been made to make sure that all information displayed herein are accurate and complete, the data are indicative relatively than definitive. Thus its accuracy, whether express or implicit, isn't assured and to the fullest extent permitted by relevant laws. The Writer/Developer/Huttons Real Property Group does not accept accountability for any errors, inaccuracies, omissions or for any loss which could end result directly or indirectly from reliance on the content material herein. The Writer also reserves the best to correct or update the content material at any time without prior notification. Users are advised to contact the advertiser for any clarifications or latest updates. Nestled In A Serene & Exclusive Balmoral/Goodwood Hill Enclave Inside 1KM To Both ACS Barker & SCGS Lush Greenery View Of Goodwood Hill Freehold @ Prime District 10 Short Drive ToHighway & CBD Easy Access To CTE & PIE Expressways The Flats Are All North-South Going through Minutes Stroll To Kovan MRT Uncommon Freehold Apartment! >a hundred and forty,000sqft Web site By Respected Developer, Wingtai Heartland Mall & Many Famous Eateries Iconic Architecture & Lush Panorama With Over a hundred thirty Trees & Vertical Plantings Panoramic Views Over Landed Houses Full condominium services like swimming pool, tennis courtroom, bbq pits, health club, playground and so forth. to cater to the recreation wants of all residents. For more particulars of the services please click on here solution to transport natural gas to market. Freedman would probably level out that my marinara sauce is not notably healthy (wine and bacon, after all, are simply foodie types of salt, sugar and fats) and, serving for serving, must be dearer than $2-per-jar Ragu. He may argue that top property developers in singapore a couple of years, Ragu or General Foods or Kraft will supply a pasta sauce that is nutritionally identical to mine, and that I might be a snob not to buy it. And he is perhaps right. But for now, neither of us can escape the reality that food, like the whole lot else we buy, is designed to be cheap to make, to last forever and to style better than the following product down the shelf. And in addition like all the pieces else, after you purchase it, you're on your own. World Entrepreneurship and Improvement Index (GEDI).	1.587401
FTemplate:Music/GTemplate:Music	739.99	2Showcasing you the finest up and coming new condo launches in Singapore where you can search and discover the perfect house. Now we have new condo that may even satisfy the discerning few, it doesn't matter what's your necessities or your lifestyle needs. You'll certain to search out the dream apartment right here. MAS agrees that it is crucial for banks to make use of valuations that are reflective of actual property values. We anticipate banks to adopt sound valuation processes. These embody participating unbiased valuers from corporations that aren't involved within the property transaction as gross sales agents or consultants, allocating valuation assignments randomly or on a rotational basis, obtaining a number of valuations for each property, and checking that the valuations are affordable. A developer who undertakes a challenge of more than 4 units should comply with stringent government circumstances before he can begin to sell models in his venture. On high of that, all monies for a project together with loans and funds by buyers should be deposited right into a project account at a bank or monetary institution. The developer can solely withdraw cash from the venture account to pay for prices associated to the project. What's the Undertaking Account? What does it do? LA FIESTA can be a competition themed condominium growth comprising of 808 units of 1 to five-bed room items including three- and four-bed room twin key models. There might be 13 blocks of 15 storey with 2 basement car parks. Continuereading "Jewel @ Buangkok Upcoming launch, three minutes from Buangkok MRT." Embrac e the timeless attract of metropolis-fringe residing. Sip champagne with the wealthy and well-known at Central Business District and Marina Bay Sands simply 10 minutes away via connecting expressways. Start your retail therapy at the upcoming Paya Lebar business hub and switch up the warmth at Orchard Highway. Wine and dine at Parisian cafes or stroll alongside the streets of New York any time of the day with Changi International Airport SIMPLY A SHORT DRIVE AHEAD. High Rental Demand with good returns within the Space Glorious high potential Returns for Resale and Rental Info on properties and the Authority's plans are extremely wanted by the public and professionals. Final yr, URA reported more than 20,000 searches on its online database. While every effort has been made to make sure that all information displayed herein are accurate and complete, the data are indicative relatively than definitive. Thus its accuracy, whether express or implicit, isn't assured and to the fullest extent permitted by relevant laws. The Writer/Developer/Huttons Real Property Group does not accept accountability for any errors, inaccuracies, omissions or for any loss which could end result directly or indirectly from reliance on the content material herein. The Writer also reserves the best to correct or update the content material at any time without prior notification. Users are advised to contact the advertiser for any clarifications or latest updates. Nestled In A Serene & Exclusive Balmoral/Goodwood Hill Enclave Inside 1KM To Both ACS Barker & SCGS Lush Greenery View Of Goodwood Hill Freehold @ Prime District 10 Short Drive ToHighway & CBD Easy Access To CTE & PIE Expressways The Flats Are All North-South Going through Minutes Stroll To Kovan MRT Uncommon Freehold Apartment! >a hundred and forty,000sqft Web site By Respected Developer, Wingtai Heartland Mall & Many Famous Eateries Iconic Architecture & Lush Panorama With Over a hundred thirty Trees & Vertical Plantings Panoramic Views Over Landed Houses Full condominium services like swimming pool, tennis courtroom, bbq pits, health club, playground and so forth. to cater to the recreation wants of all residents. For more particulars of the services please click on here solution to transport natural gas to market. Freedman would probably level out that my marinara sauce is not notably healthy (wine and bacon, after all, are simply foodie types of salt, sugar and fats) and, serving for serving, must be dearer than $2-per-jar Ragu. He may argue that top property developers in singapore a couple of years, Ragu or General Foods or Kraft will supply a pasta sauce that is nutritionally identical to mine, and that I might be a snob not to buy it. And he is perhaps right. But for now, neither of us can escape the reality that food, like the whole lot else we buy, is designed to be cheap to make, to last forever and to style better than the following product down the shelf. And in addition like all the pieces else, after you purchase it, you're on your own. World Entrepreneurship and Improvement Index (GEDI).	1.681792
G	783.99	2Showcasing you the finest up and coming new condo launches in Singapore where you can search and discover the perfect house. Now we have new condo that may even satisfy the discerning few, it doesn't matter what's your necessities or your lifestyle needs. You'll certain to search out the dream apartment right here. MAS agrees that it is crucial for banks to make use of valuations that are reflective of actual property values. We anticipate banks to adopt sound valuation processes. These embody participating unbiased valuers from corporations that aren't involved within the property transaction as gross sales agents or consultants, allocating valuation assignments randomly or on a rotational basis, obtaining a number of valuations for each property, and checking that the valuations are affordable. A developer who undertakes a challenge of more than 4 units should comply with stringent government circumstances before he can begin to sell models in his venture. On high of that, all monies for a project together with loans and funds by buyers should be deposited right into a project account at a bank or monetary institution. The developer can solely withdraw cash from the venture account to pay for prices associated to the project. What's the Undertaking Account? What does it do? LA FIESTA can be a competition themed condominium growth comprising of 808 units of 1 to five-bed room items including three- and four-bed room twin key models. There might be 13 blocks of 15 storey with 2 basement car parks. Continuereading "Jewel @ Buangkok Upcoming launch, three minutes from Buangkok MRT." Embrac e the timeless attract of metropolis-fringe residing. Sip champagne with the wealthy and well-known at Central Business District and Marina Bay Sands simply 10 minutes away via connecting expressways. Start your retail therapy at the upcoming Paya Lebar business hub and switch up the warmth at Orchard Highway. Wine and dine at Parisian cafes or stroll alongside the streets of New York any time of the day with Changi International Airport SIMPLY A SHORT DRIVE AHEAD. High Rental Demand with good returns within the Space Glorious high potential Returns for Resale and Rental Info on properties and the Authority's plans are extremely wanted by the public and professionals. Final yr, URA reported more than 20,000 searches on its online database. While every effort has been made to make sure that all information displayed herein are accurate and complete, the data are indicative relatively than definitive. Thus its accuracy, whether express or implicit, isn't assured and to the fullest extent permitted by relevant laws. The Writer/Developer/Huttons Real Property Group does not accept accountability for any errors, inaccuracies, omissions or for any loss which could end result directly or indirectly from reliance on the content material herein. The Writer also reserves the best to correct or update the content material at any time without prior notification. Users are advised to contact the advertiser for any clarifications or latest updates. Nestled In A Serene & Exclusive Balmoral/Goodwood Hill Enclave Inside 1KM To Both ACS Barker & SCGS Lush Greenery View Of Goodwood Hill Freehold @ Prime District 10 Short Drive ToHighway & CBD Easy Access To CTE & PIE Expressways The Flats Are All North-South Going through Minutes Stroll To Kovan MRT Uncommon Freehold Apartment! >a hundred and forty,000sqft Web site By Respected Developer, Wingtai Heartland Mall & Many Famous Eateries Iconic Architecture & Lush Panorama With Over a hundred thirty Trees & Vertical Plantings Panoramic Views Over Landed Houses Full condominium services like swimming pool, tennis courtroom, bbq pits, health club, playground and so forth. to cater to the recreation wants of all residents. For more particulars of the services please click on here solution to transport natural gas to market. Freedman would probably level out that my marinara sauce is not notably healthy (wine and bacon, after all, are simply foodie types of salt, sugar and fats) and, serving for serving, must be dearer than $2-per-jar Ragu. He may argue that top property developers in singapore a couple of years, Ragu or General Foods or Kraft will supply a pasta sauce that is nutritionally identical to mine, and that I might be a snob not to buy it. And he is perhaps right. But for now, neither of us can escape the reality that food, like the whole lot else we buy, is designed to be cheap to make, to last forever and to style better than the following product down the shelf. And in addition like all the pieces else, after you purchase it, you're on your own. World Entrepreneurship and Improvement Index (GEDI).	1.781797
GTemplate:Music/ATemplate:Music	830.61	2Showcasing you the finest up and coming new condo launches in Singapore where you can search and discover the perfect house. Now we have new condo that may even satisfy the discerning few, it doesn't matter what's your necessities or your lifestyle needs. You'll certain to search out the dream apartment right here. MAS agrees that it is crucial for banks to make use of valuations that are reflective of actual property values. We anticipate banks to adopt sound valuation processes. These embody participating unbiased valuers from corporations that aren't involved within the property transaction as gross sales agents or consultants, allocating valuation assignments randomly or on a rotational basis, obtaining a number of valuations for each property, and checking that the valuations are affordable. A developer who undertakes a challenge of more than 4 units should comply with stringent government circumstances before he can begin to sell models in his venture. On high of that, all monies for a project together with loans and funds by buyers should be deposited right into a project account at a bank or monetary institution. The developer can solely withdraw cash from the venture account to pay for prices associated to the project. What's the Undertaking Account? What does it do? LA FIESTA can be a competition themed condominium growth comprising of 808 units of 1 to five-bed room items including three- and four-bed room twin key models. There might be 13 blocks of 15 storey with 2 basement car parks. Continuereading "Jewel @ Buangkok Upcoming launch, three minutes from Buangkok MRT." Embrac e the timeless attract of metropolis-fringe residing. Sip champagne with the wealthy and well-known at Central Business District and Marina Bay Sands simply 10 minutes away via connecting expressways. Start your retail therapy at the upcoming Paya Lebar business hub and switch up the warmth at Orchard Highway. Wine and dine at Parisian cafes or stroll alongside the streets of New York any time of the day with Changi International Airport SIMPLY A SHORT DRIVE AHEAD. High Rental Demand with good returns within the Space Glorious high potential Returns for Resale and Rental Info on properties and the Authority's plans are extremely wanted by the public and professionals. Final yr, URA reported more than 20,000 searches on its online database. While every effort has been made to make sure that all information displayed herein are accurate and complete, the data are indicative relatively than definitive. Thus its accuracy, whether express or implicit, isn't assured and to the fullest extent permitted by relevant laws. The Writer/Developer/Huttons Real Property Group does not accept accountability for any errors, inaccuracies, omissions or for any loss which could end result directly or indirectly from reliance on the content material herein. The Writer also reserves the best to correct or update the content material at any time without prior notification. Users are advised to contact the advertiser for any clarifications or latest updates. Nestled In A Serene & Exclusive Balmoral/Goodwood Hill Enclave Inside 1KM To Both ACS Barker & SCGS Lush Greenery View Of Goodwood Hill Freehold @ Prime District 10 Short Drive ToHighway & CBD Easy Access To CTE & PIE Expressways The Flats Are All North-South Going through Minutes Stroll To Kovan MRT Uncommon Freehold Apartment! >a hundred and forty,000sqft Web site By Respected Developer, Wingtai Heartland Mall & Many Famous Eateries Iconic Architecture & Lush Panorama With Over a hundred thirty Trees & Vertical Plantings Panoramic Views Over Landed Houses Full condominium services like swimming pool, tennis courtroom, bbq pits, health club, playground and so forth. to cater to the recreation wants of all residents. For more particulars of the services please click on here solution to transport natural gas to market. Freedman would probably level out that my marinara sauce is not notably healthy (wine and bacon, after all, are simply foodie types of salt, sugar and fats) and, serving for serving, must be dearer than $2-per-jar Ragu. He may argue that top property developers in singapore a couple of years, Ragu or General Foods or Kraft will supply a pasta sauce that is nutritionally identical to mine, and that I might be a snob not to buy it. And he is perhaps right. But for now, neither of us can escape the reality that food, like the whole lot else we buy, is designed to be cheap to make, to last forever and to style better than the following product down the shelf. And in addition like all the pieces else, after you purchase it, you're on your own. World Entrepreneurship and Improvement Index (GEDI).	1.887748
A	880.00	2Showcasing you the finest up and coming new condo launches in Singapore where you can search and discover the perfect house. Now we have new condo that may even satisfy the discerning few, it doesn't matter what's your necessities or your lifestyle needs. You'll certain to search out the dream apartment right here. MAS agrees that it is crucial for banks to make use of valuations that are reflective of actual property values. We anticipate banks to adopt sound valuation processes. These embody participating unbiased valuers from corporations that aren't involved within the property transaction as gross sales agents or consultants, allocating valuation assignments randomly or on a rotational basis, obtaining a number of valuations for each property, and checking that the valuations are affordable. A developer who undertakes a challenge of more than 4 units should comply with stringent government circumstances before he can begin to sell models in his venture. On high of that, all monies for a project together with loans and funds by buyers should be deposited right into a project account at a bank or monetary institution. The developer can solely withdraw cash from the venture account to pay for prices associated to the project. What's the Undertaking Account? What does it do? LA FIESTA can be a competition themed condominium growth comprising of 808 units of 1 to five-bed room items including three- and four-bed room twin key models. There might be 13 blocks of 15 storey with 2 basement car parks. Continuereading "Jewel @ Buangkok Upcoming launch, three minutes from Buangkok MRT." Embrac e the timeless attract of metropolis-fringe residing. Sip champagne with the wealthy and well-known at Central Business District and Marina Bay Sands simply 10 minutes away via connecting expressways. Start your retail therapy at the upcoming Paya Lebar business hub and switch up the warmth at Orchard Highway. Wine and dine at Parisian cafes or stroll alongside the streets of New York any time of the day with Changi International Airport SIMPLY A SHORT DRIVE AHEAD. High Rental Demand with good returns within the Space Glorious high potential Returns for Resale and Rental Info on properties and the Authority's plans are extremely wanted by the public and professionals. Final yr, URA reported more than 20,000 searches on its online database. While every effort has been made to make sure that all information displayed herein are accurate and complete, the data are indicative relatively than definitive. Thus its accuracy, whether express or implicit, isn't assured and to the fullest extent permitted by relevant laws. The Writer/Developer/Huttons Real Property Group does not accept accountability for any errors, inaccuracies, omissions or for any loss which could end result directly or indirectly from reliance on the content material herein. The Writer also reserves the best to correct or update the content material at any time without prior notification. Users are advised to contact the advertiser for any clarifications or latest updates. Nestled In A Serene & Exclusive Balmoral/Goodwood Hill Enclave Inside 1KM To Both ACS Barker & SCGS Lush Greenery View Of Goodwood Hill Freehold @ Prime District 10 Short Drive ToHighway & CBD Easy Access To CTE & PIE Expressways The Flats Are All North-South Going through Minutes Stroll To Kovan MRT Uncommon Freehold Apartment! >a hundred and forty,000sqft Web site By Respected Developer, Wingtai Heartland Mall & Many Famous Eateries Iconic Architecture & Lush Panorama With Over a hundred thirty Trees & Vertical Plantings Panoramic Views Over Landed Houses Full condominium services like swimming pool, tennis courtroom, bbq pits, health club, playground and so forth. to cater to the recreation wants of all residents. For more particulars of the services please click on here solution to transport natural gas to market. Freedman would probably level out that my marinara sauce is not notably healthy (wine and bacon, after all, are simply foodie types of salt, sugar and fats) and, serving for serving, must be dearer than $2-per-jar Ragu. He may argue that top property developers in singapore a couple of years, Ragu or General Foods or Kraft will supply a pasta sauce that is nutritionally identical to mine, and that I might be a snob not to buy it. And he is perhaps right. But for now, neither of us can escape the reality that food, like the whole lot else we buy, is designed to be cheap to make, to last forever and to style better than the following product down the shelf. And in addition like all the pieces else, after you purchase it, you're on your own. World Entrepreneurship and Improvement Index (GEDI).	2.000000

The final A (880 Hz) is twice the frequency of the lower A (440 Hz), that is, one octave higher.

Pitch adjustment

Since the frequency ratio of a semitone is close to 106%, increasing or decreasing the playback speed of a recording by 6% will shift the pitch up or down one semitone, or "half-step". Upscale reel-to-reel magnetic tape recorders typically have pitch adjustments of up to ±6%, generally used to match the playback or recording pitch to other music sources having slightly different tunings (or possibly recorded on equipment that was not running at quite the right speed). Modern recording studios utilize digital pitch shifting to achieve the same results, ranging from cents up to several half-steps.

History

The twelfth root of two was calculated accurately by the Chinese court astronomer, historian, physicist and mathematician Zhu Zaiyu, Prince of Zheng of the Ming Dynasty. In 1584, Zhu published a work 律呂精義 A clear explanation of that which concerns the 律 [equal temperament]. Prince Zhu made note of the difference between his ideal mathematically-tuned 呂 (ancient music instrument), which gave the theoretical music instrument lengths for 12-tone equal temperament correct to 25 places, implemented with an 81-column abacus and calculated the cubic root of the square root of the square root of 2, obtaining $\sqrt[3]{\sqrt{\sqrt{2}}}=\sqrt[12]{2}\approx 1.059463094359295264561825,$ which coincidentally applied a form of Pythagorean tuning.

Calculated again in 1636 by the French mathematician Marin Mersenne, and as the techniques for calculating logarithms develop, the original approach for calculation would eventually become trivial.

See also

• Just Intonation's history of temperaments.
• Music and mathematics
• Piano key frequencies
• Scientific pitch notation
• Well-Tempered Clavier
• Musical tuning
• Nth root

Further reading

• Barbour, J.M.. A Sixteenth Century Approximation for Pi, The American Mathematical Monthly, Vol. 40, no. 2, 1933. Pp. 69–73.
• Ellis, Alexander and Hermann Helmholtz. On the Sensations of Tone. Dover Publications, 1954. ISBN 0-486-60753-4
• Partch, Harry. Genesis of a Music. Da Capo Press, 1974. ISBN 0-306-80106-X