99/70: Difference between revisions
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{{Infobox Interval | {{Infobox Interval | ||
| Name = undecimal semioctave, greater Gauss' tritone | |||
| Color name = 1org4, lorugu 4th | |||
| Name = undecimal semioctave, | |||
| Color name = | |||
}} | }} | ||
99/70, the '''undecimal semioctave''', '''undecimal square root of two approximant''' or '''greater Gauss' tritone''', is an 11-limit ratio measuring 600.0883 [[cent]]s. The ratio is 5th in the continued fraction series towards the 600-cent tritone with frequency of <math>\sqrt{2} : 1</math>. | 99/70, the '''undecimal semioctave''', '''undecimal square root of two approximant''' or '''greater Gauss' tritone''', is an 11-limit ratio measuring 600.0883 [[cent]]s. The ratio is 5th in the continued fraction series towards the 600-cent tritone with frequency of <math>\sqrt{2} : 1</math>. It is also the stack of [[36/35]], [[33/32]], and [[4/3]]. | ||
{{Wikipedia|Square root of 2}} | {{Wikipedia|Square root of 2}} | ||
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The kalismic temperament equates this interval with its octave complement, [[140/99]] by tempering out [[9801/9800]]. | The kalismic temperament equates this interval with its octave complement, [[140/99]] by tempering out [[9801/9800]]. | ||
[[Category:Tritone]] | [[Category:Tritone]] | ||
Latest revision as of 10:28, 12 October 2025
| Interval information |
greater Gauss' tritone
99/70, the undecimal semioctave, undecimal square root of two approximant or greater Gauss' tritone, is an 11-limit ratio measuring 600.0883 cents. The ratio is 5th in the continued fraction series towards the 600-cent tritone with frequency of [math]\displaystyle{ \sqrt{2} : 1 }[/math]. It is also the stack of 36/35, 33/32, and 4/3.
Temperaments
The kalismic temperament equates this interval with its octave complement, 140/99 by tempering out 9801/9800.