96edo: Difference between revisions
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The '''96 equal divisions of the octave''' ('''96edo''') divides the octave into 96 equal parts of exactly 12.5 [[cent]]s each. | {{Infobox ET | ||
| Prime factorization = 2<sup>5</sup> × 3 | |||
| Step size = 12.5000¢ | |||
| Fifth = 56\96 (700.0¢) (→ [[12edo|7\12]]) | |||
| Semitones = 8:8 (100.0¢ : 100.0¢) | |||
| Consistency = 5 | |||
}} | |||
The '''96 equal divisions of the octave''' ('''96edo'''), or the '''96-tone equal temperament''' ('''96tet'''), '''96 equal temperament''' ('''96et''') when viewed from a [[regular temperament]] perspective, divides the octave into 96 equal parts of exactly 12.5 [[cent]]s each. | |||
== Theory == | == Theory == | ||
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=== Prime harmonics === | === Prime harmonics === | ||
{{ | {{Harmonics in equal|96}} | ||
== Regular temperament properties == | |||
{| class="wikitable center-4 center-5 center-6" | |||
! rowspan="2" | Subgroup | |||
! rowspan="2" | [[Comma list]] | |||
! rowspan="2" | [[Mapping]] | |||
! rowspan="2" | Optimal<br>8ve stretch (¢) | |||
! colspan="2" | Tuning error | |||
|- | |||
! [[TE error|Absolute]] (¢) | |||
! [[TE simple badness|Relative]] (%) | |||
|- | |||
| 2.3.5 | |||
| 3293216/390625, 531441/524288 | |||
| [{{val| 96 152 223 }}] | |||
| +0.240 | |||
| 0.732 | |||
| 5.86 | |||
|- | |||
| 2.3.5.11 | |||
| 243/242, 5632/5625, 131769/131072 | |||
| [{{val| 96 152 223 332 }}] | |||
| -0.550 | |||
| 0.637 | |||
| 5.10 | |||
|} | |||
== Scales == | == Scales == | ||