176/175: Difference between revisions
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Cmloegcmluin (talk | contribs) add another tempered-together pair and reformat |
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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]] | '''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]], [[8/7]] and [[25/22]], [[14/11]] and [[32/25]], [[15/11]] and [[48/35]], or [[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]]. | 176/175 factors neatly into two [[13-limit]] [[superparticular]] commas: [[352/351]] × [[351/350]]. | ||
Revision as of 16:06, 6 October 2021
| 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, 8/7 and 25/22, 14/11 and 32/25, 15/11 and 48/35, or 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.