176/175: Difference between revisions
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'''176/175''', the '''valinorsma''', is a [[11-limit]] [[small comma]] measuring about 9.9 cents. It is amount by which [[11/7]] exceeds two [[5/4]]'s stacked, that is, the difference between 11/7 and [[25/16]] or between [[14/11]] and [[32/25]]. It is also the difference between [[15/11]] and [[48/35]] or between [[22/15]] and [[35/24]]. Tempering it out leads to the rank-4 valinorsmic temperament. | |||
176/175 factors neatly into two [[13-limit]] [[superparticular]] commas: [[352/351]] × [[351/350]]. | |||
== See also == | |||
* [[Valinorsmic temperaments]] | |||
* [[Small comma]] | |||
* [[List of superparticular intervals]] | |||
[[Category:11-limit]] | [[Category:11-limit]] | ||
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[[Category:Valinorsmic]] | [[Category:Valinorsmic]] | ||
[[Category:Todo:add color name]] | [[Category:Todo:add color name]] | ||
Revision as of 06:37, 26 October 2020
| Interval information |
reduced
176/175, the valinorsma, is a 11-limit small comma measuring about 9.9 cents. It is amount by which 11/7 exceeds two 5/4's stacked, that is, the difference between 11/7 and 25/16 or between 14/11 and 32/25. It is also the difference between 15/11 and 48/35 or between 22/15 and 35/24. Tempering it out leads to the rank-4 valinorsmic temperament.
176/175 factors neatly into two 13-limit superparticular commas: 352/351 × 351/350.