36edo: Difference between revisions

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== Regular temperament properties ==
== Regular temperament properties ==
{| class="wikitable center-4 center-5 center-6"
{{comma basis begin}}
! 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]] (%)
|-
|-
| 2.3.7
| 2.3.7
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| 2.45
| 2.45
| 7.36
| 7.36
|}
{{comma basis end}}


=== Commas ===
=== Commas ===
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=== Rank-2 temperaments ===
=== Rank-2 temperaments ===
{| class="wikitable center-all"
{{rank-2 begin}}
|-
! MOS scales
! Periods<br> per 8ve
! Generator*
! Cents*
! Associated Ratio*
! Temperament
! Mos scales
|-
|-
| rowspan="5" | 1
| rowspan="5" | 1
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| 10/9
| 10/9
| [[Squirrel]] (36), [[porcupine]] (36c)  
| [[Squirrel]] (36), [[porcupine]] (36c)  
| [[1L 6s]], [[7L 1s]], [[7L 8s]], [[7L 15s]], [[7L 22s]]
| style="text-align: center;" | [[1L 6s]], [[7L 1s]], [[7L 8s]], [[7L 15s]], [[7L 22s]]
|-
|-
| 7\36
| 7\36
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| 8/7
| 8/7
| [[Slendric]] / [[mothra]] / [[guiron]]
| [[Slendric]] / [[mothra]] / [[guiron]]
| [[1L 4s]], [[1L 5s]], [[5L 1s]], [[5L 6s]], [[5L 11s]], [[5L 16s]], [[5L 21s]], [[5L 26s]]
| style="text-align: center;" | [[1L 4s]], [[1L 5s]], [[5L 1s]], [[5L 6s]], [[5L 11s]], [[5L 16s]], [[5L 21s]], [[5L 26s]]
|-
|-
| 11\36 (25/36)
| 11\36 (25/36)
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| &phi;
| &phi;
|  
|  
| [[3L 1s]], [[3L 4s]], [[3L 7s]], [[10L 3s]], [[13L 10s]]
| style="text-align: center;" | [[3L 1s]], [[3L 4s]], [[3L 7s]], [[10L 3s]], [[13L 10s]]
|-
|-
| 13\36
| 13\36
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| 9/7
| 9/7
|  
|  
| [[2L 1s]], [[3L 2s]], [[3L 5s]], [[3L 8s]], [[11L 3s]], [[11L 14s]]
| style="text-align: center;" | [[2L 1s]], [[3L 2s]], [[3L 5s]], [[3L 8s]], [[11L 3s]], [[11L 14s]]
|-
|-
| 17\36
| 17\36
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| 7/5
| 7/5
| [[Liese]], [[pycnic]]
| [[Liese]], [[pycnic]]
| [[2L 1s]], [[2L 3s]], [[2L 5s]], [[2L 7s]], [[2L 9s]] ... [[2L 15s]], [[17L 2s]]
| style="text-align: center;" | [[2L 1s]], [[2L 3s]], [[2L 5s]], [[2L 7s]], [[2L 9s]] ... [[2L 15s]], [[17L 2s]]
|-
|-
| rowspan="2" | 2
| rowspan="2" | 2
Line 902: Line 888:
| 10/9
| 10/9
| [[Echidna]], [[hedgehog]]
| [[Echidna]], [[hedgehog]]
| [[2L 4s]], [[6L 2s]], [[8L 6s]], [[14L 8s]]
| style="text-align: center;" | [[2L 4s]], [[6L 2s]], [[8L 6s]], [[14L 8s]]
|-
|-
| 7\36
| 7\36
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| 8/7
| 8/7
| [[Baladic]], [[echidnic]]
| [[Baladic]], [[echidnic]]
| [[4L 2s]], [[6L 4s]], [[10L 6s]], [[10L 16s]]
| style="text-align: center;" | [[4L 2s]], [[6L 4s]], [[10L 6s]], [[10L 16s]]
|-
|-
| 3
| 3
Line 915: Line 901:
|  
|  
|  
|  
| [[6L 3s]], [[6L 9s]], [[15L 6s]]
| style="text-align: center;" | [[6L 3s]], [[6L 9s]], [[15L 6s]]
|-
|-
| rowspan="2" | 4
| rowspan="2" | 4
Line 922: Line 908:
|  
|  
|  
|  
| [[4L 4s]], [[4L 8s]], [[4L 12s]], [[16L 4s]]
| style="text-align: center;" | [[4L 4s]], [[4L 8s]], [[4L 12s]], [[16L 4s]]
|-
|-
| 4\36
| 4\36
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|  
|  
|  
|  
| [[4L 4s]], [[8L 4s]], [[8L 12s]], [[8L 20s]]  
| style="text-align: center;" | [[4L 4s]], [[8L 4s]], [[8L 12s]], [[8L 20s]]  
|-
|-
| 6
| 6
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| 50/49, 49/48
| 50/49, 49/48
| [[Niner]], [[tritrizo]]
| [[Niner]], [[tritrizo]]
| [[9L 9s]]
| style="text-align: center;" | [[9L 9s]]
|-
|-
| 12
| 12
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|  
|  
|  
|  
|}
{{rank-2 end}}
{{orf}}


== Scales ==
== Scales ==