Octagar family: Difference between revisions
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The '''octagar family''' of temperaments are [[planar temperament]]s tempering out [[4000/3969]]. While most 7-limit planar temperaments exhibit a tendency towards tuning flat, many people seem to prefer a slight sharp tendency instead. Octagar provides this; for instance the 7 odd limit minimax tuning has fifths and 7s 2.245 cents sharp, with just major thirds. | The '''octagar family''' of temperaments are [[planar temperament]]s tempering out [[4000/3969]]. While most 7-limit planar temperaments exhibit a tendency towards tuning flat, many people seem to prefer a slight sharp tendency instead. Octagar provides this; for instance the 7 odd limit minimax tuning has fifths and 7s 2.245 cents sharp, with just major thirds. | ||
= Octagar = | == Octagar == | ||
[[Comma]] c = 4000/3969 | [[Comma]] c = 4000/3969 | ||
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[[Projection pair]]s: 5 3969/800 7 27783/4000 to 2.3.7/5 | [[Projection pair]]s: 5 3969/800 7 27783/4000 to 2.3.7/5 | ||
=== [[Hobbits|Hobbit bases]] === | ==== [[Hobbits|Hobbit bases]] ==== | ||
{2, 3, 7/5} subgroup | {2, 3, 7/5} subgroup | ||
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23: 12800000/12252303, 107163/102400 | 23: 12800000/12252303, 107163/102400 | ||
== Nakika == | === Nakika === | ||
Commas: 100/99, 245/242 | Commas: 100/99, 245/242 | ||