36edo: Difference between revisions

ArrowHead294 (talk | contribs)
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Line 463: Line 463:
{| class="wikitable center-4 center-5 center-6"
{| class="wikitable center-4 center-5 center-6"
! rowspan="2" | [[Subgroup]]
! rowspan="2" | [[Subgroup]]
! rowspan="2" | [[Comma list|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
|-
|-
! [[TE error|Absolute]] (¢)
! [[TE error|Absolute]] (¢)
Line 473: Line 473:
| 2.3.7
| 2.3.7
| 1029/1024, 177147/175616
| 1029/1024, 177147/175616
| [{{val| 36 57 101 }}]
| {{mapping| 36 57 101 }}
| +0.67
| +0.67
| 0.51
| 0.51
Line 480: Line 480:
| 2.3.7.13
| 2.3.7.13
| 729/728, 1029/1024, 3159/3136
| 729/728, 1029/1024, 3159/3136
| [{{val| 36 57 101 133 }}]
| {{mapping| 36 57 101 133 }}
| +0.99
| +0.99
| 0.71
| 0.71
Line 487: Line 487:
| 2.3.7.13.17
| 2.3.7.13.17
| 273/272, 729/728, 833/832, 3159/3136
| 273/272, 729/728, 833/832, 3159/3136
| [{{val| 36 57 101 133 147 }}]
| {{mapping| 36 57 101 133 147 }}
| +1.03
| +1.03
| 0.64
| 0.64
Line 494: Line 494:
| 2.3.7.13.17.19
| 2.3.7.13.17.19
| 153/152, 273/272, 442/441, 729/728, 1729/1728
| 153/152, 273/272, 442/441, 729/728, 1729/1728
| [{{val| 36 57 101 133 147 153 }}]
| {{mapping| 36 57 101 133 147 153 }}
| +0.76
| +0.76
| 0.84
| 0.84
Line 501: Line 501:
| 2.3.5.7
| 2.3.5.7
| 81/80, 128/125, 686/675
| 81/80, 128/125, 686/675
| [{{val| 36 57 84 101 }}]
| {{mapping| 36 57 84 101 }}
| &minus;0.98
| &minus;0.98
| 2.87
| 2.87
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| 2.3.5.7.13
| 2.3.5.7.13
| 81/80, 91/90, 128/125, 169/168
| 81/80, 91/90, 128/125, 169/168
| [{{val| 36 57 84 101 133 }}]
| {{mapping| 36 57 84 101 133 }}
| &minus;0.40
| &minus;0.40
| 2.82
| 2.82
Line 515: Line 515:
| 2.3.5.7.13.17
| 2.3.5.7.13.17
| 51/50, 81/80, 91/90, 128/125, 196/195
| 51/50, 81/80, 91/90, 128/125, 196/195
| [{{val| 36 57 84 101 133 147 }}]
| {{mapping| 36 57 84 101 133 147 }}
| &minus;0.13
| &minus;0.13
| 2.65
| 2.65
Line 522: Line 522:
| 2.3.5.7.13.17.19
| 2.3.5.7.13.17.19
| 51/50, 76/75, 81/80, 91/90, 96/95, 196/195
| 51/50, 76/75, 81/80, 91/90, 96/95, 196/195
| [{{val| 36 57 84 101 133 147 153 }}]
| {{mapping| 36 57 84 101 133 147 153 }}
| &minus;0.19
| &minus;0.19
| 2.45
| 2.45
Line 533: Line 533:
{| class="commatable wikitable center-1 center-2 right-4 center-5"
{| class="commatable wikitable center-1 center-2 right-4 center-5"
|-
|-
! [[Harmonic limit|Prime<br />Limit]]
! [[Harmonic limit|Prime<br>limit]]
! [[Ratio]]<ref group="note">{{rd}}</ref>
! [[Ratio]]<ref group="note">{{rd}}</ref>
! [[Monzo]]
! [[Monzo]]
Line 859: Line 859:
{| class="wikitable center-all"
{| class="wikitable center-all"
|-
|-
! Periods<br /> per 8ve
! Periods<br> per 8ve
! Generator<br />(Reduced)
! Generator*
! Cents<br />(Reduced)
! Cents*
! Associated Ratio<br />(Reduced)
! Associated Ratio*
! Temperament
! Temperament
! MoS Scales
! Mos scales
|-
|-
| rowspan="5" | 1
| rowspan="5" | 1
Line 870: Line 870:
| 166.667
| 166.667
| 10/9
| 10/9
| [[Squirrel]] (36), [[Porcupine]] (36c)  
| [[Squirrel]] (36), [[porcupine]] (36c)  
| [[1L 6s]], [[7L 1s]], [[7L 8s]], [[7L 15s]], [[7L 22s]]
| [[1L 6s]], [[7L 1s]], [[7L 8s]], [[7L 15s]], [[7L 22s]]
|-
|-
Line 876: Line 876:
| 233.333
| 233.333
| 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]]
| [[1L 4s]], [[1L 5s]], [[5L 1s]], [[5L 6s]], [[5L 11s]], [[5L 16s]], [[5L 21s]], [[5L 26s]]
|-
|-
Line 894: Line 894:
| 566.667
| 566.667
| 7/5
| 7/5
| [[Liese]], [[Pycnic]]
| [[Liese]], [[pycnic]]
| [[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]]
|-
|-
Line 901: Line 901:
| 166.667
| 166.667
| 10/9
| 10/9
| [[Echidna]], [[Hedgehog]]
| [[Echidna]], [[hedgehog]]
| [[2L 4s]], [[6L 2s]], [[8L 6s]], [[14L 8s]]
| [[2L 4s]], [[6L 2s]], [[8L 6s]], [[14L 8s]]
|-
|-
Line 907: Line 907:
| 233.333
| 233.333
| 8/7
| 8/7
| [[Baladic]], [[Echidnic]]
| [[Baladic]], [[echidnic]]
| [[4L 2s]], [[6L 4s]], [[10L 6s]], [[10L 16s]]
| [[4L 2s]], [[6L 4s]], [[10L 6s]], [[10L 16s]]
|-
|-
Line 941: Line 941:
| 33.333
| 33.333
| 50/49, 49/48
| 50/49, 49/48
| [[Niner]], [[Tritrizo]]
| [[Niner]], [[tritrizo]]
| [[9L 9s]]
| [[9L 9s]]
|-
|-
Line 948: Line 948:
| 33.333
| 33.333
| 50/49, 49/48
| 50/49, 49/48
| [[Catler]], [[Compton]]
| [[Catler]], [[compton]]
|  
|  
|-
|-