Sqrtphi: Difference between revisions
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The '''sqrtphi''' is a temperament for the 7, 11, 13, 17, and 19 prime limits. It is a member of [[kleismic family]], [[mirkwai clan]] and [[Wizmic microtemperaments|wizmic temperaments]]. The name "sqrtphi" stands for "square root of phi", which means the positive square root of the golden ratio <math>(\sqrt{\varphi} = \sqrt{\frac{1+\sqrt{5}}{2}})</math> as a frequency ratio. | The '''sqrtphi''' is a temperament for the 7, 11, 13, 17, and 19 prime limits. It is a member of [[kleismic family]], [[mirkwai clan]] and [[Wizmic microtemperaments|wizmic temperaments]]. The name "sqrtphi" stands for "square root of phi", which means the positive square root of the [[golden ratio]] <math>(\sqrt{\varphi} = \sqrt{\frac{1+\sqrt{5}}{2}})</math> as a frequency ratio. | ||
See [[Kleismic family #Sqrtphi|Kleismic family]] for more technical data. | See [[Kleismic family #Sqrtphi|Kleismic family]] for more technical data. | ||
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! | [[eigenmonzo|eigenmonzo<br>(unchanged interval]]) | ! | [[eigenmonzo|eigenmonzo<br>(unchanged-interval]]) | ||
! | undecimal<br>major third (¢) | ! | undecimal<br>major third (¢) | ||
! | comments | ! | comments | ||
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| | (φ) | | | (φ) | ||
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| | | | | square root of phi | ||
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| | 13, 15, 17, 19 and 21 limit minimax | | | 13, 15, 17, 19 and 21-odd-limit minimax | ||
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| | 5 limit minimax | | | 5-odd-limit minimax | ||
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| | 7 and 9 limit minimax | | | 7 and 9-odd-limit minimax | ||
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| | 11 limit minimax | | | 11-odd-limit minimax | ||
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| | | | | 7/5 | ||
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== Scales == | |||
* [[Sqrtphi17]] | |||
* [[Sqrtphi23]] | |||
* [[Sqrtphi49]] | |||
== Music == | |||
'''[[Vito Sicurella]]''' | |||
* [http://micro.soonlabel.com/gene_ward_smith/Others/Sicurella/A%20Fight%20For%20Phi.mp3 A Fight for Phi] | |||
'''[[Chris Vaisvil]]''' | |||
* [http://micro.soonlabel.com/sqrt_phi/daily20111123a-sqrt-phi-17.mp3 Prelude for Piano in Square root of Phi Tuning] | |||
[[Category:Sqrtphi| ]] <!-- main article --> | |||
[[Category:Rank-2 temperaments]] | |||
[[Category:Kleismic family]] | [[Category:Kleismic family]] | ||
[[Category:Golden ratio]] | |||