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Commas and more, possibly not the most reasonable, feel free to add/remove
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=== Commas ===
=== Commas ===
{| class="commatable wikitable center-1 center-2 right-4 center-5"
{| class="commatable wikitable center-1 center-2 right-3 center-6"
![[Harmonic limit|Prime]]
! [[Harmonic limit|Prime<br>limit]]
[[Harmonic limit|limit]]
! [[Ratio]]<ref group="note">{{rd}}</ref>
![[Ratio]]<ref group="note">{{rd}}</ref>
! [[Cent]]s
![[Cent|Cents]]
! [[Monzo]]
![[Monzo]]
! colspan="2" | [[Kite's color notation|Color name]]
! colspan="2" |[[Color name]]
! Name(s)
!Name(s)
|-
|-
|5
| 5
|<abbr title="10485760000/10460353203">[[Vulture comma|(22 digits)]]</abbr>
| <abbr title="10485760000/10460353203">[[Vulture comma|(22 digits)]]</abbr>
|4.20
| 4.20
|{{Monzo|24 -21 4}}
| {{Monzo| 24 -21 4 }}
|Sasaquadyo
| Sasaquadyo
|ssy<sup>4</sup>
| ssy<sup>4</sup>
|Vulture comma
| Vulture comma
|-
|-
|5
| 5
|[[Vishnuzma|(20 digits)]]
| [[Vishnuzma|(20 digits)]]
|3.34
| 3.34
|[23 6 -14⟩
| {{Monzo| 23 6 -14 }}
|Sasepbigu
| Sasepbigu
|sg<sup>14</sup>
| sg<sup>14</sup>
|Vishnuzma
| Vishnuzma
|-
|-
|7
| 7
|[[33554432/33480783|(16 digits)]]
| [[33554432/33480783|(16 digits)]]
|3.80
| 3.80
|{{monzo|25 -14 0 -1}}
| {{Monzo| 25 -14 0 -1 }}
|Sasaru
| Sasaru
|ssr
| ssr
|Garischisma
| Garischisma
|-
|-
|7
| 7
|[[2401/2400]]
| [[2401/2400]]
|0.72
| 0.72
|{{monzo|-5 -1 -2 4}}
| {{Monzo| -5 -1 -2 4 }}
|Bizozogu
| Bizozogu
|z<sup>4</sup>gg
| z<sup>4</sup>gg
|Breedsma
| Breedsma
|-
|-
|7
| 7
|[[4375/4374]]
| [[4375/4374]]
|0.40
| 0.40
|{{Monzo|-1 -7 4 1}}
| {{Monzo| -1 -7 4 1 }}
|Zoquadyo
| Zoquadyo
|zy<sup>4</sup>
| zy<sup>4</sup>
|Ragisma
| Ragisma
|-
|-
|7
| 7
|[[Quasiorwellisma|(16 digits)]]
| [[Quasiorwellisma|(16 digits)]]
|3.73
| 3.73
|[22 -1 -10 1⟩
| {{Monzo| 22 -1 -10 1 }}
|Sazoquinbigu
| Sazoquinbigu
|szg<sup>10</sup>
| szg<sup>10</sup>
|Quasiorwellisma
| Quasiorwellisma
|-
|-
|11
| 11
|<abbr title="94489280512/94143178827">[[Pythrabian comma|(22 digits)]]</abbr>
| <abbr title="94489280512/94143178827">[[Pythrabian comma|(22 digits)]]</abbr>
|6.35
| 6.35
|{{Monzo|33 -23 0 0 1}}
| {{Monzo| 33 -23 0 0 1 }}
|Trisalo
| Trisalo
|s1o<sup>3</sup>
| s1o<sup>3</sup>
|Pythrabian comma
| Pythrabian comma
|-
|-
|11
| 11
|[[5632/5625]]
| [[5632/5625]]
|2.15
| 2.15
|[9 -2 -4 0 1⟩
| {{Monzo| 9 -2 -4 0 1 }}
|Saloquagu
| Saloquagu
|s1og<sup>4</sup>
| s1og<sup>4</sup>
|Vishdel comma
| Vishdel comma
|-
|-
|11
| 11
|[[Nexus comma|(12 digits)]]
| [[Nexus comma|(12 digits)]]
|2.04
| 2.04
|[-16 -3 0 0 6⟩
| {{Monzo| -16 -3 0 0 6 }}
|Tribilo
| Tribilo
|1o<sup>3</sup>
| 1o<sup>3</sup>
|Nexus comma
| Nexus comma
|-
|-
|11
| 11
|[[3025/3024]]
| [[3025/3024]]
|0.57
| 0.57
|{{monzo|-4 -3 2 -1 2}}
| {{Monzo| -4 -3 2 -1 2 }}
|Loloruyoyo
| Loloruyoyo
|1ooryy
| 1ooryy
|Lehmerisma
| Lehmerisma
|-
|-
|11
| 11
|[[9801/9800]]
| [[9801/9800]]
|0.18
| 0.18
|[-3 4 -2 -2 2⟩
| {{Monzo| -3 4 -2 -2 2 }}
|Bilorugu
| Bilorugu
|(1org)<sup>2</sup>
| (1org)<sup>2</sup>
|Kalisma
| Kalisma
|-
|-
|13
| 13
|[[676/675]]
| [[676/675]]
|2.56
| 2.56
|{{Monzo|2 -3 -2 0 0 2}}
| {{Monzo| 2 -3 -2 0 0 2 }}
|Bithogu
| Bithogu
|3oogg
| 3oogg
|Island comma, parizeksma
| Island comma, parizeksma
|-
|-
|13
| 13
|[[1001/1000]]
| [[1001/1000]]
|1.73
| 1.73
|{{Monzo|-3 0 -3 1 1 1}}
| {{Monzo| -3 0 -3 1 1 1 }}
|Tholozotrigu
| Tholozotrigu
|3o1ozg<sup>3</sup>
| 3o1ozg<sup>3</sup>
|Fairytale comma, sinbadma
| Fairytale comma, sinbadma
|-
|-
|13
| 13
|[[2080/2079]]
| [[2080/2079]]
|0.83
| 0.83
|{{Monzo|5 -3 1 -1 -1 1}}
| {{Monzo| 5 -3 1 -1 -1 1 }}
|Tholuruyo
| Tholuruyo
|3o1ury
| 3o1ury
|Ibnsinma, sinaisma
| Ibnsinma, sinaisma
|-
|-
|13
| 13
|[[4096/4095]]
| [[4096/4095]]
|0.42
| 0.42
|{{Monzo|12 -2 -1 -1 0 -1}}
| {{Monzo| 12 -2 -1 -1 0 -1 }}
|Sathurugu
| Sathurugu
|s3urg
| s3urg
|Minisma
| Minisma
|-
|-
|17
|17
|[[12376/12375]]
| [[12376/12375]]
|0.14
| 0.14
|[3 -2 -3 1 -1 1 1⟩
| {{Monzo| 3 -2 -3 1 -1 1 1 }}
|Sotholuzotrigu
| Sotholuzotrigu
|7o3o1uzg<sup>3</sup>
| 7o3o1uzg<sup>3</sup>
|Flashma
| Flashma
|-
|-
|19
| 19
|[[1216/1215]]
| [[1216/1215]]
|1.42
| 1.42
|[6 -5 -1 0 0 0 0 1⟩
| {{Monzo| 6 -5 -1 0 0 0 0 1 }}
|Sanogu
| Sanogu
|s9og
| s9og
|Password, Eratosthenes' comma
| Password, Eratosthenes' comma
|-
|-
|23
| 23
|[[529/528]]
| [[529/528]]
|3.24
| 3.24
|2.3.11.23 [-4 -1 -1 2⟩
| 2.3.11.23 {{monzo| -4 -1 -1 2 }}
|Bitwetho-alu
| Bitwetho-alu
|23oo1u
| 23oo1u
|Preziosisma
| Preziosisma
|-
|-
|29
| 29
|[[784/783]]
| [[784/783]]
|2.20
| 2.20
|2.3.7.29 [4 -3 2 -1⟩
| 2.3.7.29 {{monzo| 4 -3 2 -1 }}
|Twenuzozo
| Twenuzozo
|23uzz
| 23uzz
|Biminorisma
| Biminorisma
|-
|-
|31
|31
|[[621/620]]
| [[621/620]]
|2.79
| 2.79
|2.3.5.23.31 [-2 3 -1 1 -1⟩
| 2.3.5.23.31 {{monzo| -2 3 -1 1 -1 }}
|Thiwutwethogu
| Thiwutwethogu
|31u23og
| 31u23og
|Owowhatsthisma
| Owowhatsthisma
|}
|}


Line 407: Line 406:
| 1
| 1
| 1\270
| 1\270
| 4.<u>4</u>
| 4.{{overline|4}}
| 385/384
| 385/384
| [[Keenanose]]
| [[Keenanose]]
Line 413: Line 412:
| 1
| 1
| 29\270
| 29\270
| 128.<u>8</u>
| 128.{{overline|8}}
| 14/13
| 14/13
| [[Tertiathirds]]
| [[Tertiathirds]]
Line 419: Line 418:
| 1
| 1
| 61\270
| 61\270
| 271.<u>1</u>
| 271.{{overline|1}}
| 90/77
| 90/77
| [[Quasiorwell]]
| [[Quasiorwell]]
Line 425: Line 424:
| 1
| 1
| 71\270
| 71\270
| 315.<u>5</u>
| 315.{{overline|5}}
| 6/5
| 6/5
| [[Acrokleismic]] / counteracro
| [[Acrokleismic]] / counteracro
Line 431: Line 430:
| 1
| 1
| 79\270
| 79\270
| 351.<u>1</u>
| 351.{{overline|1}}
| 49/40
| 49/40
| [[Newt]]
| [[Newt]]
Line 437: Line 436:
| 1
| 1
| 97\270
| 97\270
| 431.<u>1</u>
| 431.{{overline|1}}
| 77/60
| 77/60
| [[Lockerbie]]
| [[Lockerbie]]
Line 443: Line 442:
| 1
| 1
| 107\270
| 107\270
| 475.<u>5</u>
| 475.{{overline|5}}
| 25/19
| 25/19
| [[Vulture]]
| [[Vulture]]
Line 449: Line 448:
| 2
| 2
| 14\270
| 14\270
| 62.<u>2</u>
| 62.{{overline|2}}
| 28/27
| 28/27
| [[Eagle]]
| [[Eagle]]
Line 455: Line 454:
| 2
| 2
| 16\270
| 16\270
| 71.<u>1</u>
| 71.{{overline|1}}
| 25/24
| 25/24
| [[Vishnu]] / ananta / acyuta
| [[Vishnu]] / ananta / acyuta
|-
|-
|2
| 2
|112\270
| 112\270<br>(23\270)
(23\270)
| 497.{{overline|7}}<br>(102.{{overline|2}})
|497.<u>7</u>
| 4/3<br>(35/33)
(102.<u>2</u>)
| [[Gariwizmic]]
|4/3
|[[Gary]] / [[Gariwizmic]]
|-
|-
| 2
| 2
| 28\270
| 28\270
| 124.<u>4</u>
| 124.{{overline|4}}
| 275/256
| 275/256
| [[Semivulture]]
| [[Semivulture]]
Line 475: Line 472:
| 2
| 2
| 47\270
| 47\270
| 208.<u>8</u>
| 208.{{overline|8}}
| 44/39
| 44/39
| [[Abigail]]
| [[Abigail]]
Line 481: Line 478:
| 2
| 2
| 52\270
| 52\270
| 231.<u>1</u>
| 231.{{overline|1}}
| 8/7
| 8/7
| [[Orga]]
| [[Orga]]
Line 487: Line 484:
| 2
| 2
| 131\270<br>(4\270)
| 131\270<br>(4\270)
| 582.<u>2</u><br>(17.<u>7</u>)
| 582.{{overline|2}}<br>(17.{{overline|7}})
| 7/5<br>(99/98)
| 7/5<br>(99/98)
| [[Quarvish]]
| [[Quarvish]]
Line 493: Line 490:
| 3
| 3
| 17\270
| 17\270
| 75.<u>5</u>
| 75.{{overline|5}}
| 24/23
| 24/23
| [[Terture]]
| [[Terture]]
Line 499: Line 496:
| 3
| 3
| 31\270
| 31\270
| 137.<u>7</u>
| 137.{{overline|7}}
| 13/12
| 13/12
| [[Avicenna]]
| [[Avicenna]]
Line 505: Line 502:
| 5
| 5
| 83\270<br>(25\270)
| 83\270<br>(25\270)
| 368.<u>8</u><br>(111.<u>1</u>)
| 368.{{overline|8}}<br>(111.{{overline|1}})
| 1024/891<br>(16/15)
| 1024/891<br>(16/15)
| [[Quintosec]]
| [[Quintosec]]
Line 511: Line 508:
| 6
| 6
| 112\270<br>(4\270)
| 112\270<br>(4\270)
| 497.<u>7</u><br>(97.<u>7</u>)
| 497.{{overline|7}}<br>(97.{{overline|7}})
| 4/3<br>(128/121)
| 4/3<br>(128/121)
| [[Sextile]]
| [[Sextile]]
Line 517: Line 514:
| 9
| 9
| 71\270<br>(11\270)
| 71\270<br>(11\270)
| 315.<u>5</u><br>(48.<u>8</u>)
| 315.{{overline|5}}<br>(48.{{overline|8}})
| 6/5<br>(36/35)
| 6/5<br>(36/35)
| [[Ennealimmal]] / ennealimmia
| [[Ennealimmal]] / ennealimmia
Line 523: Line 520:
| 10
| 10
| 16\270<br>(11\270)
| 16\270<br>(11\270)
| 71.<u>1</u><br>(48.<u>8</u>)
| 71.{{overline|1}}<br>(48.{{overline|8}})
| 25/24<br>(36/35)
| 25/24<br>(36/35)
| [[Decavish]]
| [[Decavish]]
Line 529: Line 526:
| 10
| 10
| 56\270<br>(2\270)
| 56\270<br>(2\270)
| 248.<u>8</u><br>(8.<u>8</u>)
| 248.{{overline|8}}<br>(8.{{overline|8}})
| 15/13<br>(176/175)
| 15/13<br>(176/175)
| [[Decoid]]
| [[Decoid]]
Line 535: Line 532:
| 10
| 10
| 71\270<br>(10\270)
| 71\270<br>(10\270)
| 315.<u>5</u><br>(44.<u>4</u>)
| 315.{{overline|5}}<br>(44.{{overline|4}})
| 6/5<br>(40/39)
| 6/5<br>(40/39)
| [[Deca]]
| [[Deca]]
Line 541: Line 538:
| 18
| 18
| 71\270<br>(4\270)
| 71\270<br>(4\270)
| 248.<u>8</u><br>(17.<u>7</u>)
| 248.{{overline|8}}<br>(17.{{overline|7}})
| 15/13<br>(99/98)
| 15/13<br>(99/98)
| [[Hemiennealimmal]]
| [[Hemiennealimmal]]
Line 547: Line 544:
| 18
| 18
| 71\270<br>(2\270)
| 71\270<br>(2\270)
| 475.<u>5</u><br>(8.<u>8</u>)
| 475.{{overline|5}}<br>(8.{{overline|8}})
| 1053/800<br>(1287/1280)
| 1053/800<br>(1287/1280)
| [[Semihemiennealimmal]]
| [[Semihemiennealimmal]]
Line 553: Line 550:
| 27
| 27
| 61\270<br>(1\270)
| 61\270<br>(1\270)
| 271.<u>1</u><br>(4.44)
| 271.{{overline|1}}<br>(4.{{overline|4}})
| 1375/1176<br>(385/384)
| 1375/1176<br>(385/384)
| [[Trinealimmal]]
| [[Trinealimmal]]
Line 559: Line 556:
| 30
| 30
| 82\270<br>(1\270)
| 82\270<br>(1\270)
| 364.<u>4</u><br>(4.44)
| 364.{{overline|4}}<br>(4.{{overline|4}})
| 216/175<br>(385/384)
| 216/175<br>(385/384)
| [[Zinc]]
| [[Zinc]]
Line 565: Line 562:
| 45
| 45
| 59\270<br>(1\270)
| 59\270<br>(1\270)
| 262.<u>2</u><br>(4.44)
| 262.{{overline|2}}<br>(4.{{overline|4}})
| 64/55<br>(385/384)
| 64/55<br>(385/384)
| [[Rhodium]]
| [[Rhodium]]
|}
|}
<nowiki/>* [[Normal lists|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if distinct
<nowiki/>* [[Normal forms|Octave-reduced form]], reduced to the first half-octave, and [[normal forms|minimal form]] in parentheses if distinct


== Scales ==
== Scales ==
Retrieved from "https://en.xen.wiki/w/270edo"