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31edo: Difference between revisions

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Line 824: Line 824:
{| 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 834: Line 834:
| 2.3
| 2.3
| {{monzo| -49 31 }}
| {{monzo| -49 31 }}
| [{{val| 31 49 }}]
| {{mapping| 31 49 }}
| +1.63
| +1.63
| 1.64
| 1.64
Line 841: Line 841:
| 2.3.5
| 2.3.5
| 81/80, 393216/390625
| 81/80, 393216/390625
| [{{val| 31 49 72 }}]
| {{mapping| 31 49 72 }}
| +0.98
| +0.98
| 1.63
| 1.63
Line 848: Line 848:
| 2.3.5.7
| 2.3.5.7
| 81/80, 126/125, 1029/1024
| 81/80, 126/125, 1029/1024
| [{{val| 31 49 72 87 }}]
| {{mapping| 31 49 72 87 }}
| +0.83
| +0.83
| 1.43
| 1.43
Line 855: Line 855:
| 2.3.5.7.11
| 2.3.5.7.11
| 81/80, 99/98, 121/120, 126/125
| 81/80, 99/98, 121/120, 126/125
| [{{val| 31 49 72 87 107 }}]
| {{mapping| 31 49 72 87 107 }}
| +1.21
| +1.21
| 1.49
| 1.49
Line 862: Line 862:
| 2.3.5.7.11.13
| 2.3.5.7.11.13
| 66/65, 81/80, 99/98, 105/104, 121/120
| 66/65, 81/80, 99/98, 105/104, 121/120
| [{{val| 31 49 72 87 107 115 }}]
| {{mapping| 31 49 72 87 107 115 }}
| +0.50
| +0.50
| 2.07
| 2.07
Line 877: Line 877:
{| class="commatable wikitable center-all left-3 right-4 left-6"
{| class="commatable wikitable center-all left-3 right-4 left-6"
|-
|-
! [[Harmonic limit|Prime<br />Limit]]
! [[Harmonic limit|Prime<br>limit]]
! [[Ratio]]<ref group="note">{{rd}}</ref>
! [[Ratio]]<ref group="note">{{rd}}</ref>
! [[Monzo]]
! [[Monzo]]
! [[Cents]]
! [[Cents]]
! [[Color name|Color Name]]
! [[Color name]]
! Name
! Name
|-
|-
Line 952: Line 952:
| 22.227
| 22.227
| Laquadzo-atrigu
| Laquadzo-atrigu
| Squalentine
| Squalentine comma
|-
|-
| 7
| 7
Line 959: Line 959:
| 20.785
| 20.785
| Quadru-ayo
| Quadru-ayo
| Nuwell
| Nuwell comma
|-
|-
| 7
| 7
Line 966: Line 966:
| 14.516
| 14.516
| Quinzogu
| Quinzogu
| Trimyna
| Trimyna comma
|-
|-
| 7
| 7
Line 1,001: Line 1,001:
| 6.9903
| 6.9903
| Quinru-aquadyo
| Quinru-aquadyo
| Mirkwai
| Mirkwai comma
|-
|-
| 7
| 7
Line 1,154: Line 1,154:
! Generator
! Generator
! Cents
! Cents
! MOSes
! Mos scales
! Temperaments
! Temperaments
! [[Pergen]]
! [[Pergen]]
Line 1,178: Line 1,178:
| 4\31
| 4\31
| 154.84
| 154.84
| [[1L 6s]], [[7L 1s]], <br />[[8L 7s]], [[8L 15s]]
| [[1L 6s]], [[7L 1s]], <br>[[8L 7s]], [[8L 15s]]
| [[Nusecond]] / [[greeley]]
| [[Greeley]] / [[nusecond]]
| (P8, P11/11)
| (P8, P11/11)
|-
|-
| 5\31
| 5\31
| 193.55
| 193.55
| [[1L 5s]], [[6L 1s]], [[6L 7s]], <br />[[6L 13s]], [[6L 19s]]
| [[1L 5s]], [[6L 1s]], [[6L 7s]], <br>[[6L 13s]], [[6L 19s]]
| [[Luna]] / [[didacus]] / [[hemithirds]] /  
| [[Luna]] / [[didacus]] / [[hemithirds]] / [[hemiwürschmidt]] / [[tutone]]
[[hemiwürschmidt]] / [[tutone]]
| (P8, ccP4/15)
| (P8, ccP4/15)
|-
|-
| 6\31
| 6\31
| 232.26
| 232.26
| [[1L 4s]], [[5L 1s]], [[5L 6s]], <br />[[5L 11s]], [[5L 16s]], [[5L 21s]]
| [[1L 4s]], [[5L 1s]], [[5L 6s]], <br>[[5L 11s]], [[5L 16s]], [[5L 21s]]
| [[Mothra]] / [[mosura]]<br />[[Quadrawell]]
| [[Mothra]] / [[mosura]]<br>[[Quadrawell]]
| (P8, P5/3)
| (P8, P5/3)
|-
|-
| 7\31
| 7\31
| 270.97
| 270.97
| [[1L 3s]], [[4L 1s]], [[4L 5s]], <br />[[9L 4s]], [[9L 13s]]
| [[1L 3s]], [[4L 1s]], [[4L 5s]], <br>[[9L 4s]], [[9L 13s]]
| [[Orson]] / [[orwell]] / [[winston]]
| [[Orson]] / [[orwell]] / [[winston]]
| (P8, P12/7)
| (P8, P12/7)
Line 1,203: Line 1,202:
| 8\31
| 8\31
| 309.68
| 309.68
| [[3L 1s]], [[4L 3s]], [[4L 7s]], <br />[[4L 11s]], [[4L 15s]], [[4L 19s]], <br />[[4L 23s]]
| [[3L 1s]], [[4L 3s]], [[4L 7s]], <br>[[4L 11s]], [[4L 15s]], [[4L 19s]], <br />[[4L 23s]]
| [[Myna]] / [[triwell]]
| [[Myna]]<br>[[Triwell]]
| (P8, ccP5/10)
| (P8, ccP5/10)
|-
|-
| 9\31
| 9\31
| 348.39
| 348.39
| [[3L 1s]], [[3L 4s]], [[7L 3s]], <br />[[7L 10s]], [[7L 17s]]
| [[3L 1s]], [[3L 4s]], [[7L 3s]], <br>[[7L 10s]], [[7L 17s]]
| [[Mohaha]] / [[vicentino]] /<br />[[mohajira]] / [[migration]]
| [[Mohaha]] / [[vicentino]] /<br>[[mohajira]] / [[migration]]
| (P8, P5/2)
| (P8, P5/2)
|-
|-
| 10\31
| 10\31
| 387.10
| 387.10
| [[3L 1s]], [[3L 4s]], [[3L 7s]], <br />[[3L 10s]], [[3L 13s]], [[3L 16s]], <br />[[3L 19s]], [[3L 22s]], [[3L 25s]]
| [[3L 1s]], [[3L 4s]], [[3L 7s]], <br>[[3L 10s]], [[3L 13s]], [[3L 16s]], <br>[[3L 19s]], [[3L 22s]], [[3L 25s]]
| [[Würschmidt]] / [[worschmidt]]
| [[Würschmidt]] / [[worschmidt]]
| (P8, ccP5/8)
| (P8, ccP5/8)
Line 1,221: Line 1,220:
| 11\31
| 11\31
| 425.81
| 425.81
| [[3L 2s]], [[3L 5s]], [[3L 8s]], <br />[[3L 11s]], [[14L 3s]]
| [[3L 2s]], [[3L 5s]], [[3L 8s]], <br>[[3L 11s]], [[14L 3s]]
| [[Squares]] / [[Sentinel]]
| [[Squares]] / [[sentinel]]
| (P8, P11/4)
| (P8, P11/4)
|-
|-
| 12\31
| 12\31
| 464.52
| 464.52
| [[3L 2s]], [[5L 3s]], <br />[[5L 8s]], [[13L 5s]]
| [[3L 2s]], [[5L 3s]], <br>[[5L 8s]], [[13L 5s]]
| [[5L 3s/Temperaments#A-Team|A-Team]]<br />[[Semisept]]
| [[A-Team]]<br>[[Semisept]]
| (P8, c<sup>5</sup>P4/14)
| (P8, c<sup>5</sup>P4/14)
|-
|-
| 13\31
| 13\31
| 503.23
| 503.23
| [[2L 3s]], [[5L 2s]], <br />[[7L 5s]], [[12L 7s]]
| [[2L 3s]], [[5L 2s]], <br>[[7L 5s]], [[12L 7s]]
| [[Meantone]] / [[meanpop]]
| [[Meantone]] / [[meanpop]]
| (P8, P5)
| (P8, P5)
Line 1,239: Line 1,238:
| 14\31
| 14\31
| 541.94
| 541.94
| [[2L 3s]], [[2L 5s]], [[2L 7s]], <br />[[9L 2s]], [[11L 9s]]
| [[2L 3s]], [[2L 5s]], [[2L 7s]], <br>[[9L 2s]], [[11L 9s]]
| [[Casablanca]]<br />[[Cypress]]<br />[[Oracle]]
| [[Casablanca]]<br>[[Cypress]]<br>[[Oracle]]
| (P8, c<sup>5</sup>P4/12)
| (P8, c<sup>5</sup>P4/12)
|-
|-
| 15\31
| 15\31
| 580.65
| 580.65
| [[2L 3s]], [[2L 5s]], [[2L 7s]], <br />[[2L 9s]], [[2L 11s]], [[2L 13s]], <br />[[2L 15s]], [[2L 17s]], [[2L 19s]], <br />[[2L 21s]], [[2L 23s]], [[2L 25s]], <br />[[2L 27s]]
| [[2L 3s]], [[2L 5s]], [[2L 7s]], <br>[[2L 9s]], [[2L 11s]], [[2L 13s]], <br>[[2L 15s]], [[2L 17s]], [[2L 19s]], <br>[[2L 21s]], [[2L 23s]], [[2L 25s]], <br>[[2L 27s]]
| [[Tritonic]] / [[tritoni]]
| [[Tritonic]] / [[tritoni]]
| (P8, ccP4/5)
| (P8, ccP4/5)
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