316edo: Difference between revisions
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The '''316 equal divisions of the octave''' ('''316edo'''), or the '''316(-tone) equal temperament''' ('''316tet''', '''316et'''), divides the [[octave]] into 316 [[equal]] parts of 3.80 [[cent]]s each. | {{Infobox ET | ||
| Prime factorization = 2<sup>2</sup> × 79 | |||
| Step size = 3.79747¢ | |||
| Fifth = 189\316 (702.53¢) | |||
| Semitones = 31:23 (117.72¢ : 87.34¢) | |||
| Consistency = 11 | |||
}} | |||
The '''316 equal divisions of the octave''' ('''316edo'''), or the '''316(-tone) equal temperament''' ('''316tet''', '''316et''') when viewed from a [[regular temperament]] perspective, divides the [[octave]] into 316 [[equal]] parts of about 3.80 [[cent]]s each. | |||
== Theory == | == Theory == | ||
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It provides the [[optimal patent val]] for the rank-4 temperament tempering out 3388/3375, and [[triglav]], which also tempers out 3025/3024. | It provides the [[optimal patent val]] for the rank-4 temperament tempering out 3388/3375, and [[triglav]], which also tempers out 3025/3024. | ||
316 factors into 2<sup>2</sup> × 79, with subset edos 2, 4, 79, and 158. | 316 factors into 2<sup>2</sup> × 79, with subset edos {{EDOs| 2, 4, 79, and 158 }}. | ||
=== Prime harmonics === | === Prime harmonics === | ||