Xenharmonic Wiki

36edo: Difference between revisions

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m →Instruments: Clarification
m →Regular temperament properties: style and comma names
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! rowspan="2" | [[Comma list]]
! rowspan="2" | [[Comma list]]
! rowspan="2" | [[Mapping]]
! rowspan="2" | [[Mapping]]
! rowspan="2" | Optimal<br />8ve stretch (¢)
! rowspan="2" | Optimal<br>8ve stretch (¢)
! colspan="2" | Tuning error
! colspan="2" | Tuning error
|-
|-
Line 553: Line 553:
| 62.57
| 62.57
| Quadgu
| Quadgu
| Greater diesis, diminished comma
| Diminished comma, greater diesis
|-
|-
| 5
| 5
Line 567: Line 567:
| 41.06
| 41.06
| Trigu
| Trigu
| Lesser diesis, augmented comma
| Augmented comma, lesser diesis
|-
|-
| 5
| 5
Line 574: Line 574:
| 21.51
| 21.51
| Gu
| Gu
| Syntonic comma, Didymus comma, meantone comma
| Syntonic comma, Didymus' comma, meantone comma
|-
|-
| 5
| 5
Line 672: Line 672:
| 24.54
| 24.54
| Trilu-ayoyo
| Trilu-ayoyo
| Large Tetracot diesis
| Large tetracot diesis
|-
|-
| 11
| 11
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=== Rank-2 temperaments ===
=== Rank-2 temperaments ===
{| class="wikitable center-all left-5"
{| class="wikitable center-all left-5 left-6"
|+ style="font-size: 105%;" | Table of rank-2 temperaments by generator
|+ style="font-size: 105%;" | Table of rank-2 temperaments by generator
|-
|-
! Periods<br />per 8ve
! Periods<br>per 8ve
! Generator*
! Generator*
! Cents*
! Cents*
! Associated<br />ratio*
! Associated<br>ratio*
! Temperaments
! Temperaments
! MOS scales
! Mos scales
|-
|-
| rowspan="5" | 1
| 1
| 5\36
| 5\36
| 166.667
| 166.67
| 10/9
| 10/9
| style="text-align: center;" | [[Squirrel]] (36), [[porcupine]] (36c)  
| [[Squirrel]] (36), [[porcupine]] (36c)  
| style="text-align: center;" | [[1L 6s]], [[7L 1s]], [[7L 8s]], [[7L 15s]], [[7L 22s]]
| [[1L 6s]], [[7L 1s]], [[7L 8s]], [[7L 15s]], [[7L 22s]]
|-
|-
| 1
| 7\36
| 7\36
| 233.333
| 233.33
| 8/7
| 8/7
| style="text-align: center;" | [[Slendric]] / [[mothra]] / [[guiron]]
| [[Slendric]] / [[mothra]] / [[guiron]]
| style="text-align: center;" | [[1L 4s]], [[1L 5s]], [[5L 1s]], [[5L 6s]], [[5L 11s]], [[5L 16s]], [[5L 21s]], [[5L 26s]]
| [[1L 4s]], [[1L 5s]], [[5L 1s]], [[5L 6s]], [[5L 11s]], [[5L 16s]], [[5L 21s]], [[5L 26s]]
|-
|-
| 1
| 11\36 (25/36)
| 11\36 (25/36)
| 366.66 (833.33)
| 366.67 (833.33)
| &phi;
| &phi;
|  
|  
| style="text-align: center;" | [[3L 1s]], [[3L 4s]], [[3L 7s]], [[10L 3s]], [[13L 10s]]
| [[3L 1s]], [[3L 4s]], [[3L 7s]], [[10L 3s]], [[13L 10s]]
|-
|-
| 1
| 13\36
| 13\36
| 433.333
| 433.33
| 9/7
| 9/7
|  
|  
| style="text-align: center;" | [[2L 1s]], [[3L 2s]], [[3L 5s]], [[3L 8s]], [[11L 3s]], [[11L 14s]]
| [[2L 1s]], [[3L 2s]], [[3L 5s]], [[3L 8s]], [[11L 3s]], [[11L 14s]]
|-
|-
| 1
| 17\36
| 17\36
| 566.667
| 566.67
| 7/5
| 7/5
| style="text-align: center;" | [[Liese]], [[pycnic]]
| [[Liese]], [[pycnic]]
| style="text-align: center;" | [[2L 1s]], [[2L 3s]], [[2L 5s]], [[2L 7s]], [[2L 9s]] ... [[2L 15s]], [[17L 2s]]
| [[2L 1s]], [[2L 3s]], [[2L 5s]], [[2L 7s]], [[2L 9s]], …, [[2L 15s]], [[17L 2s]]
|-
|-
| rowspan="2" | 2
| 2
| 5\36
| 5\36
| 166.667
| 166.67
| 10/9
| 10/9
| style="text-align: center;" | [[Echidna]], [[hedgehog]]
| [[Echidna]], [[hedgehog]]
| style="text-align: center;" | [[2L 4s]], [[6L 2s]], [[8L 6s]], [[14L 8s]]
| [[2L 4s]], [[6L 2s]], [[8L 6s]], [[14L 8s]]
|-
|-
| 2
| 7\36
| 7\36
| 233.333
| 233.33
| 8/7
| 8/7
| style="text-align: center;" | [[Baladic]], [[echidnic]]
| [[Baladic]], [[echidnic]]
| style="text-align: center;" | [[4L 2s]], [[6L 4s]], [[10L 6s]], [[10L 16s]]
| [[4L 2s]], [[6L 4s]], [[10L 6s]], [[10L 16s]]
|-
|-
| 3
| 3
| 5\36
| 5\36
| 166.66
| 166.67
|  
|  
|  
|  
| style="text-align: center;" | [[6L 3s]], [[6L 9s]], [[15L 6s]]
| [[6L 3s]], [[6L 9s]], [[15L 6s]]
|-
|-
| rowspan="2" | 4
| 4
| 2\36
| 2\36
| 66.66
| 66.67
|  
|  
|  
|  
| style="text-align: center;" | [[4L 4s]], [[4L 8s]], [[4L 12s]], [[16L 4s]]
| [[4L 4s]], [[4L 8s]], [[4L 12s]], [[16L 4s]]
|-
|-
| 4
| 4\36
| 4\36
| 133.33
| 133.33
|  
|  
|  
|  
| style="text-align: center;" | [[4L 4s]], [[8L 4s]], [[8L 12s]], [[8L 20s]]  
| [[4L 4s]], [[8L 4s]], [[8L 12s]], [[8L 20s]]  
|-
|-
| 6
| 6
| 1\36
| 1\36
| 33.333
| 33.33
|  
|  
|  
|  
Line 941: Line 947:
| 9
| 9
| 1\36
| 1\36
| 33.333
| 33.33
| 50/49, 49/48
| 50/49, 49/48
| style="text-align: center;" | [[Niner]], [[tritrizo]]
| [[Niner]], [[tritrizo]]
| style="text-align: center;" | [[9L 9s]]
| [[9L 9s]]
|-
|-
| 12
| 12
| 1\36
| 1\36
| 33.333
| 33.33
| 50/49, 49/48
| 50/49, 49/48
| style="text-align: center;" | [[Catler]], [[compton]]
| [[Catler]], [[compton]]
|  
|  
|-
|-
| 18
| 18
| 1\36
| 1\36
| 33.333
| 33.33
| 50/49, 49/48
| 50/49, 49/48
|  
|  
|  
|  
|}
|}
<nowiki />* [[Normal lists|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if it is distinct
<nowiki/>* [[Normal lists|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if distinct


== Scales ==
== Scales ==
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