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7edo: Difference between revisions

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{| 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]]
![[Cent]]s
! [[Cent]]s
![[Color notation/Temperament Names|Color Name]]
! [[Color notation/Temperament Names| Color Name]]
!Name(s)
! Name(s)
|-
|-
|3
| 3
|[[2187/2048]]
| [[2187/2048]]
|{{monzo| -11 7 }}
| {{monzo| -11 7 }}
|113.69
| 113.69
|Lawa
| Lawa
|Apotome, Pythagorean chromatic semitone
| Apotome, Pythagorean chromatic semitone
|-
|-
|5
| 5
|[[135/128]]
| [[135/128]]
| {{monzo| -7 3 1 }}
| {{monzo| -7 3 1 }}
|92.18
| 92.18
|Layobi
| Layobi
|Major chroma, major limma, pelogic comma
| Major chroma, major limma, pelogic comma
|-
|-
| 5
| 5
|[[25/24]]
| [[25/24]]
|{{monzo| -3 -1 2 }}
| {{monzo| -3 -1 2 }}
|70.67
| 70.67
|Yoyo
| Yoyo
|Classic chromatic semitone, dicot comma
| Classic chromatic semitone, dicot comma
|-
|-
|5
| 5
|[[250/243]]
| [[250/243]]
|{{monzo| 1 -5 3 }}
| {{monzo| 1 -5 3 }}
|49.17
| 49.17
|Triyo
| Triyo
|Maximal diesis, porcupine comma
| Maximal diesis, porcupine comma
|-
|-
|5
| 5
|[[20000/19683]]
| [[20000/19683]]
|{{monzo| 5 -9 4 }}
| {{monzo| 5 -9 4 }}
|27.66
| 27.66
|Saquadyo
| Saquadyo
|Minimal diesis, tetracot comma
| Minimal diesis, tetracot comma
|-
|-
|5
| 5
| [[81/80]]
| [[81/80]]
|{{monzo| -4 4 -1 }}
| {{monzo| -4 4 -1 }}
|21.51
| 21.51
|Gu
| Gu
|Syntonic comma, Didymus comma, meantone comma
| Syntonic comma, Didymus comma, meantone comma
|-
|-
|5
| 5
|[[1600000/1594323|(14 digits)]]
| [[1600000/1594323|(14 digits)]]
|{{monzo| 9 -13 5 }}
| {{monzo| 9 -13 5 }}
|6.15
| 6.15
|Saquinyo
| Saquinyo
|[[Amity comma]]
| [[Amity comma]]
|-
|-
| 7
| 7
|[[36/35]]
| <abbr title="1119744/1071875">(14 digits)</abbr>
|{{monzo| 2 2 -1 -1 }}
| {{monzo| 9 7 -5 -3 }}
|48.77
| 75.64
| Triru-aquingu
| [[Superpine|Superpine comma]]
|-
| 7
| [[36/35]]
| {{monzo| 2 2 -1 -1 }}
| 48.77
| Rugu
| Rugu
|Septimal quartertone
| Septimal quartertone
|-
|-
|7
| 7
|
| [[525/512]]
[[525/512]]
| {{monzo| -9 1 2 1 }}
|{{monzo| -9 1 2 1 }}
| 43.41
|43.41
| Lazoyoyo
|Lazoyoyo
| Avicennma, Avicenna's enharmonic diesis
|Avicennma, Avicenna's enharmonic diesis
|-
|-
|7
| 7
|[[64/63]]
| [[64/63]]
|{{monzo| 6 -2 0 -1 }}
| {{monzo| 6 -2 0 -1 }}
|27.26
| 27.26
| Ru
| Ru
|Septimal comma, Archytas' comma, Leipziger Komma
| Septimal comma, Archytas' comma, Leipziger Komma
|-
|-
|7
| 7
| [[875/864]]
| [[875/864]]
|{{monzo| -5 -3 3 1 }}
| {{monzo| -5 -3 3 1 }}
|21.90
| 21.90
| Zotriyo
| Zotriyo
|Keema
| Keema
|-
|-
|7
| 7
|[[5120/5103]]
| [[5120/5103]]
|{{monzo| 10 -6 1 -1 }}
| {{monzo| 10 -6 1 -1 }}
|5.76
| 5.76
| Saruyo
| Saruyo
| Hemifamity
| Hemifamity
|-
|-
| 7
| 7
|[[6144/6125]]
| [[6144/6125]]
|{{monzo| 11 1 -3 -2 }}
| {{monzo| 11 1 -3 -2 }}
|5.36
| 5.36
| Sarurutriyo
| Sarurutriyo
| Porwell
| Porwell
|-
|-
|7
| 7
|[[4375/4374]]
| [[4375/4374]]
|{{monzo| -1 -7 4 1 }}
| {{monzo| -1 -7 4 1 }}
|0.40
| 0.40
|Zoquadyo
| Zoquadyo
|Ragisma
| Ragisma
|-
|-
|7
| 7
|<abbr title="140737488355328/140710042265625">(30 digits)</abbr>
| <abbr title="140737488355328/140710042265625">(30 digits)</abbr>
|{{monzo| 47 -7 -7 -7 }}
| {{monzo| 47 -7 -7 -7 }}
|0.34
| 0.34
|Trisa-rugu
| Trisa-rugu
|[[Akjaysma]], 5\7 octave comma
| [[Akjaysma]], 5\7 octave comma
|-
|-
|11
| 11
|[[100/99]]
| [[100/99]]
|{{monzo| 2 -2 2 0 -1 }}
| {{monzo| 2 -2 2 0 -1 }}
|17.40
| 17.40
|Luyoyo
| Luyoyo
| Ptolemisma
| Ptolemisma
|-
|-
|11
| 11
|
|  
[[121/120]]
[[121/120]]
|{{monzo| -3 -1 -1 0 2 }}
| {{monzo| -3 -1 -1 0 2 }}
|14.37
| 14.37
|Lologu
| Lologu
| Biyatisma
| Biyatisma
|-
|-
| 11
| 11
|[[176/175]]
| [[176/175]]
|{{monzo| 4 0 -2 -1 1 }}
| {{monzo| 4 0 -2 -1 1 }}
|9.86
| 9.86
|Lurugugu
| Lurugugu
|Valinorsma
| Valinorsma
|-
|-
|11
| 11
| [[65536/65219]]
| [[65536/65219]]
|{{monzo| 16 0 0 -2 -3 }}
| {{monzo| 16 0 0 -2 -3 }}
|8.39
| 8.39
|Satrilu-aruru
| Satrilu-aruru
|Orgonisma
| Orgonisma
|-
|-
|11
| 11
|[[243/242]]
| [[243/242]]
|{{monzo| -1 5 0 0 -2 }}
| {{monzo| -1 5 0 0 -2 }}
|7.14
| 7.14
|Lulu
| Lulu
|Rastma
| Rastma
|-
|-
|11
| 11
|[[385/384]]
| [[385/384]]
|{{monzo| -7 -1 1 1 1 }}
| {{monzo| -7 -1 1 1 1 }}
|4.50
| 4.50
|Lozoyo
| Lozoyo
|Keenanisma
| Keenanisma
|-
|-
| 11
| 11
|[[4000/3993]]
| [[4000/3993]]
|{{monzo| 5 -1 3 0 -3 }}
| {{monzo| 5 -1 3 0 -3 }}
|3.03
| 3.03
|Triluyo
| Triluyo
| Wizardharry
| Wizardharry
|-
|-
|13
| 13
|[[27/26]]
| [[27/26]]
|{{monzo| -1 3 0 0 0 -1 }}
| {{monzo| -1 3 0 0 0 -1 }}
|65.33
| 65.33
|thu unison
| thu unison
|small tridecimal third tone
| small tridecimal third tone
|-
|-
|13
| 13
|[[65/64]]  
| [[65/64]]  
|{{monzo| -6 0 1 0 0 1 }}
| {{monzo| -6 0 1 0 0 1 }}
|26.84
| 26.84
|
|  
|wilsorma
| wilsorma
|-
|-
|13
| 13
|[[52/49]]
| [[52/49]]
|{{monzo| 2 0 0 -2 0 1 }}
| {{monzo| 2 0 0 -2 0 1 }}
|102.87
| 102.87
|thoruru unison
| thoruru unison
|hammerisma
| hammerisma
|-
|-
|13
| 13
| [[14641/13312]]
| [[14641/13312]]
|{{monzo| -10 0 0 0 4 -1 }}
| {{monzo| -10 0 0 0 4 -1 }}
|164.74
| 164.74
|
|  
|
|  
|}
|}
<references group="note"/>
<references group="note" />


== Temperaments ==
== Temperaments ==
Retrieved from "https://en.xen.wiki/w/7edo"