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43edo: Difference between revisions

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m →Prime harmonics: Reduce number of primes shown
Line 393: Line 393:
! 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 401: Line 401:
| 2.3
| 2.3
| {{monzo| -68 43 }}
| {{monzo| -68 43 }}
| [{{val| 43 68 }}]
| {{mapping| 43 68 }}
| +1.35
| +1.35
| 1.35
| 1.35
Line 408: Line 408:
| 2.3.5
| 2.3.5
| 81/80, 50331648/48828125
| 81/80, 50331648/48828125
| [{{val| 43 68 100 }}]
| {{mapping| 43 68 100 }}
| +0.27
| +0.27
| 1.88
| 1.88
Line 415: Line 415:
| 2.3.5.7
| 2.3.5.7
| 81/80, 126/125, 17280/16807
| 81/80, 126/125, 17280/16807
| [{{val| 43 68 100 121 }}]
| {{mapping| 43 68 100 121 }}
| &minus;0.51
| &minus;0.51
| 2.11
| 2.11
Line 422: Line 422:
| 2.3.5.7.11
| 2.3.5.7.11
| 81/80, 99/98, 126/125, 864/847
| 81/80, 99/98, 126/125, 864/847
| [{{val| 43 68 100 121 149 }}]
| {{mapping| 43 68 100 121 149 }}
| &minus;0.80
| &minus;0.80
| 1.98
| 1.98
Line 429: Line 429:
| 2.3.5.7.11.13
| 2.3.5.7.11.13
| 78/77, 81/80, 99/98, 126/125, 144/143
| 78/77, 81/80, 99/98, 126/125, 144/143
| [{{val| 43 68 100 121 149 159 }}]
| {{mapping| 43 68 100 121 149 159 }}
| &minus;0.52
| &minus;0.52
| 1.91
| 1.91
Line 436: Line 436:
| 2.3.5.7.11.13.17
| 2.3.5.7.11.13.17
| 78/77, 81/80, 99/98, 120/119, 126/125, 144/143
| 78/77, 81/80, 99/98, 120/119, 126/125, 144/143
| [{{val| 43 68 100 121 149 159 176 }}]
| {{mapping| 43 68 100 121 149 159 176 }}
| &minus;0.52
| &minus;0.52
| 1.81
| 1.81
Line 443: Line 443:
| 2.3.5.7.11.13.17.19
| 2.3.5.7.11.13.17.19
| 78/77, 81/80, 99/98, 120/119, 126/125, 135/133, 144/143
| 78/77, 81/80, 99/98, 120/119, 126/125, 135/133, 144/143
| [{{val| 43 68 100 121 149 159 176 183 }}]
| {{mapping|| 43 68 100 121 149 159 176 183 }}
| &minus;0.87
| &minus;0.87
| 1.77
| 1.77
Line 454: Line 454:
{| 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">Ratios longer than 10 digits are presented by placeholders with informative hints</ref>
! [[Ratio]]<ref group="note">Ratios longer than 10 digits are presented by placeholders with informative hints</ref>
! [[Monzo]]
! [[Monzo]]
Line 487: Line 487:
| 21.51
| 21.51
| Gu
| Gu
| Syntonic comma, Didymus comma, meantone comma
| Syntonic comma, Didymus' comma, meantone comma
|-
|-
| 5
| 5
Line 501: Line 501:
| 2.52
| 2.52
| Quinla-seyo
| Quinla-seyo
| [[Vavoom family|Vavoom comma]]
| [[Vavoom comma]]
|-
|-
| 7
| 7
Line 522: Line 522:
| 20.46
| 20.46
| Sepruyo
| Sepruyo
| [[Merman|Mermisma]]
| [[Mermisma]]
|-
|-
| 7
| 7
Line 550: Line 550:
| 7.71
| 7.71
| Ruyoyo
| Ruyoyo
| Septimal kleisma, Marvel comma
| Marvel comma
|-
|-
| 7
| 7
Line 564: Line 564:
| 1.63
| 1.63
| Latriru-asepyo
| Latriru-asepyo
| [[Meter comma]]
| [[Meter]]
|-
|-
| 11
| 11
Line 571: Line 571:
| 24.54
| 24.54
| Trilu-ayoyo
| Trilu-ayoyo
| Large Tetracot diesis
| Large tetracot diesis
|-
|-
| 11
| 11
Line 606: Line 606:
| 1.26
| 1.26
| Salururu
| Salururu
| [[Olympic comma]]
| [[Olympia]]
|-
|-
| 11
| 11
Line 711: Line 711:
| 18.13
| 18.13
| Nugu
| Nugu
| 19th Partial chroma
| 19th-partial chroma
|-
|-
| 19
| 19
Line 747: Line 747:
|+ 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
|-
|-
Line 855: Line 855:
| [[Merman]]
| [[Merman]]
|}
|}
<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


== Detemperaments ==
== Detemperaments ==
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