99edo: Difference between revisions
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== Intervals == | == Intervals == | ||
{{Main| Table of 99edo intervals }} | {{Main| Table of 99edo intervals }} | ||
== Approximation to JI == | |||
=== Zeta peak index === | |||
{| class="wikitable center-all" | |||
|- | |||
! colspan="3" | Tuning | |||
! colspan="3" | Strength | |||
! colspan="2" | Closest edo | |||
! colspan="2" | Integer limit | |||
|- | |||
! ZPI | |||
! Steps per octave | |||
! Step size (cents) | |||
! Height | |||
! Integral | |||
! Gap | |||
! Edo | |||
! Octave (cents) | |||
! Consistent | |||
! Distinct | |||
|- | |||
| [[568zpi]] | |||
| 99.0473345956631 | |||
| 12.1154194093028 | |||
| 9.406495 | |||
| 1.510412 | |||
| 18.536483 | |||
| 99edo | |||
| 1199.42652152097 | |||
| 12 | |||
| 12 | |||
|} | |||
== Regular temperament properties == | == Regular temperament properties == | ||
| Line 26: | Line 58: | ||
! rowspan="2" | [[Comma list]] | ! rowspan="2" | [[Comma list]] | ||
! rowspan="2" | [[Mapping]] | ! rowspan="2" | [[Mapping]] | ||
! rowspan="2" | Optimal<br | ! rowspan="2" | Optimal<br>8ve stretch (¢) | ||
! colspan="2" | Tuning error | ! colspan="2" | Tuning error | ||
|- | |- | ||
| Line 73: | Line 105: | ||
|+ style="font-size: 105%;" | Table of rank-2 temperaments by generator | |+ style="font-size: 105%;" | Table of rank-2 temperaments by generator | ||
|- | |- | ||
! Periods<br | ! Periods<br>per 8ve | ||
! Generator* | ! Generator* | ||
! Cents* | ! Cents* | ||
! Associated<br | ! Associated<br>ratio* | ||
! Temperament | ! Temperament | ||
|- | |- | ||
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|- | |- | ||
| 3 | | 3 | ||
| 41\99<br | | 41\99<br>(8\99) | ||
| 496.970<br | | 496.970<br>(96.970) | ||
| 4/3<br | | 4/3<br>(18/17~19/18) | ||
| [[Misty]] | | [[Misty]] | ||
|- | |- | ||
| Line 176: | Line 208: | ||
|- | |- | ||
| 11 | | 11 | ||
| 41\99<br | | 41\99<br>(4\99) | ||
| 496.970<br | | 496.970<br>(48.485) | ||
| 4/3<br | | 4/3<br>(36/35) | ||
| [[Hendecatonic]] | | [[Hendecatonic]] | ||
|} | |} | ||
<nowiki />* [[Normal lists|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if distinct | <nowiki/>* [[Normal lists|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if distinct | ||
== Scales == | == Scales == | ||