130edo: Difference between revisions
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== 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 | |||
|- | |||
| [[796zpi]] | |||
| 130.003910460506 | |||
| 9.23049157328654 | |||
| 10.355108 | |||
| 1.634018 | |||
| 19.594551 | |||
| 130edo | |||
| 1199.96390452725 | |||
| 16 | |||
| 16 | |||
|} | |} | ||
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! 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 364: | Line 396: | ||
|+ 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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|- | |- | ||
| 2 | | 2 | ||
| 54\130<br | | 54\130<br>(11\130) | ||
| 498.46<br | | 498.46<br>(101.54) | ||
| 4/3<br | | 4/3<br>(35/33) | ||
| [[Bischismic]] | | [[Bischismic]] | ||
|- | |- | ||
| 5 | | 5 | ||
| 27\130<br | | 27\130<br>(1\130) | ||
| 249.23<br | | 249.23<br>(9.23) | ||
| 81/70<br | | 81/70<br>(176/175) | ||
| [[Hemipental]] | | [[Hemipental]] | ||
|- | |- | ||
| 10 | | 10 | ||
| 27\130<br | | 27\130<br>(1\130) | ||
| 249.23<br | | 249.23<br>(9.23) | ||
| 15/13<br | | 15/13<br>(176/175) | ||
| [[Decoid]] | | [[Decoid]] | ||
|- | |- | ||
| 10 | | 10 | ||
| 54\130<br | | 54\130<br>(2\130) | ||
| 498.46<br | | 498.46<br>(18.46) | ||
| 4/3<br | | 4/3<br>(81/80) | ||
| [[Decal]] | | [[Decal]] | ||
|- | |- | ||
| 26 | | 26 | ||
| 54\130<br | | 54\130<br>(1\130) | ||
| 498.46<br | | 498.46<br>(9.23) | ||
| 4/3<br | | 4/3<br>(225/224) | ||
| [[Bosonic]] | | [[Bosonic]] | ||
|} | |} | ||
<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 == | ||