Xenharmonic Wiki

26edo: Difference between revisions

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m General cleanup
Comma table cleanup
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* [[List of edo-distinct 26et rank two temperaments]]
* [[List of edo-distinct 26et rank two temperaments]]


{| class="wikitable"
{| class="wikitable center-all left-3"
|-
|-
! | Periods
! Periods<br>per octave
 
! Generator
per octave
! Temperaments
! | Generator
! | Temperaments
|-
|-
| style="text-align:center;" | 1
| 1
| style="text-align:center;" | 1\26
| 1\26
| | [[Quartonic|Quartonic]]/Quarto
| [[Quartonic]]/Quarto
|-
|-
| style="text-align:center;" | 1
| 1
| style="text-align:center;" | 3\26
| 3\26
| | [[Jerome|Jerome]]/[[Chromatic_pairs|Bleu]]/Secund
| [[Jerome]]/[[Chromatic_pairs|Bleu]]/Secund
|-
|-
| style="text-align:center;" | 1
| 1
| style="text-align:center;" | 5\26
| 5\26
| | [[Cynder|Cynder]]/[[Mothra|Mothra]]
| [[Cynder]]/[[Mothra]]
|-
|-
| style="text-align:center;" | 1
| 1
| style="text-align:center;" | 7\26
| 7\26
| | [[Superkleismic|Superkleismic]]/[[Orgone|Orgone]]/[[Shibboleth|Shibboleth]]
| [[Superkleismic]]/[[Orgone]]/[[Shibboleth]]
|-
|-
| style="text-align:center;" | 1
| 1
| style="text-align:center;" | 9\26
| 9\26
| | [[Roman|Roman]]/Wesley
| [[Roman]]/Wesley
|-
|-
| style="text-align:center;" | 1
| 1
| style="text-align:center;" | 11\26
| 11\26
| | [[Meantone|Meantone]]/[[Flattone|Flattone]]
| [[Meantone]]/[[Flattone]]
|-
|-
| style="text-align:center;" | 2
| 2
| style="text-align:center;" | 1\26
| 1\26
| | Elvis
| Elvis
|-
|-
| style="text-align:center;" | 2
| 2
| style="text-align:center;" | 2\26
| 2\26
| | [[Injera|Injera]]
| [[Injera]]
|-
|-
| style="text-align:center;" | 2
| 2
| style="text-align:center;" | 3\26
| 3\26
| | [[Fifive|Fifive]]/Crepuscular
| [[Fifive]]/Crepuscular
|-
|-
| style="text-align:center;" | 2
| 2
| style="text-align:center;" | 4\26
| 4\26
| | [[Unidec|Unidec]]/[[Gamelismic_clan#Unidec-Hendec|Hendec]]/Dubbla
| [[Unidec]]/[[Gamelismic_clan#Unidec-Hendec|Hendec]]/Dubbla
|-
|-
| style="text-align:center;" | 2
| 2
| style="text-align:center;" | 5\26
| 5\26
| | [[Lemba|Lemba]]
| | [[Lemba]]
|-
|-
| style="text-align:center;" | 2
| 2
| style="text-align:center;" | 6\26
| 6\26
| | [[Doublewide|Doublewide]]/Cavalier
| [[Doublewide]]/Cavalier
|-
|-
| style="text-align:center;" | 13
| 13
| style="text-align:center;" | 1\26
| 1\26
| | Triskaidekic
| Triskaidekic
|}
|}


Line 537: Line 535:
26et tempers out the following [[commas]]. (Note: This assumes the [[val]] {{val| 26 41 60 73 90 96 }}.)
26et tempers out the following [[commas]]. (Note: This assumes the [[val]] {{val| 26 41 60 73 90 96 }}.)


{| class="wikitable"
{| class="wikitable center-all left-3"
|-
|-
! | [[Ratio]]
! [[Harmonic limit|Prime<br>Limit]]
! | [[Monzo]]
! [[Ratio]]
! | [[Cents]]
! [[Monzo]]
![[Color notation/Temperament Names|Color Name]]
! [[Cents]]
! | Name 1
! [[Color notation/Temperament Names|Color Name]]
! | Name 2
! Name 1
! | Name 3
! Name 2
! Name 3
|-
|-
| style="text-align:center;" | 81/80
| 5
| 81/80
| |<nowiki> | -4 4 -1 </nowiki>&gt;
| |<nowiki> | -4 4 -1 </nowiki>&gt;
| style="text-align:right;" | 21.51
| 21.51
| style="text-align:center;" |Gu
| Gu
| style="text-align:center;" | Syntonic Comma
| Syntonic comma
| style="text-align:center;" | Didymos Comma
| Didymos comma
| style="text-align:center;" | Meantone Comma
| Meantone comma
|-
|-
| style="text-align:center;" | 5696703/5695946
| "
| 5696703/5695946
| |<nowiki> | -17 62 -35 </nowiki>&gt;
| |<nowiki> | -17 62 -35 </nowiki>&gt;
| style="text-align:right;" | 0.23
| 0.23
| style="text-align:center;" |Quadla-sepquingu
| Quadla-sepquingu
| style="text-align:center;" | Senior
| Senior
| style="text-align:center;" |  
|  
| style="text-align:center;" |  
|  
|-
|-
| style="text-align:center;" | 525/512
| 7
| 525/512
| |<nowiki> | -9 1 2 1 </nowiki>&gt;
| |<nowiki> | -9 1 2 1 </nowiki>&gt;
| style="text-align:right;" | 43.41
| 43.41
| style="text-align:center;" |Zoyoyo
| Zoyoyo
| style="text-align:center;" | Avicennma
| Avicennma
| style="text-align:center;" | Avicenna's Enharmonic Diesis
| Avicenna's enharmonic diesis
| style="text-align:center;" |  
|  
|-
|-
| style="text-align:center;" | 50/49
| "
| 50/49
| |<nowiki> | 1 0 2 -2 </nowiki>&gt;
| |<nowiki> | 1 0 2 -2 </nowiki>&gt;
| style="text-align:right;" | 34.98
| 34.98
| style="text-align:center;" |Biruyo
| Biruyo
| style="text-align:center;" | Tritonic Diesis
| Tritonic diesis
| style="text-align:center;" | Jubilisma
| Jubilisma
| style="text-align:center;" |  
|  
|-
|-
| style="text-align:center;" | 875/864
| "
| 875/864
| |<nowiki> | -5 -3 3 1 </nowiki>&gt;
| |<nowiki> | -5 -3 3 1 </nowiki>&gt;
| style="text-align:right;" | 21.90
| 21.90
| style="text-align:center;" |Zotriyo
| Zotriyo
| style="text-align:center;" | Keema
| Keema
| style="text-align:center;" |  
|  
| style="text-align:center;" |  
|  
|-
|-
| style="text-align:center;" | 4000/3969
| "
| 4000/3969
| |<nowiki> | 5 -4 3 -2 </nowiki>&gt;
| |<nowiki> | 5 -4 3 -2 </nowiki>&gt;
| style="text-align:right;" | 13.47
| 13.47
| style="text-align:center;" |Sarurutriyo
| Sarurutriyo
| style="text-align:center;" | Octagar
| Octagar
| style="text-align:center;" |  
|  
| style="text-align:center;" |  
|  
|-
|-
| style="text-align:center;" | 1728/1715
| "
| 1728/1715
| |<nowiki> | 6 3 -1 -3 </nowiki>&gt;
| |<nowiki> | 6 3 -1 -3 </nowiki>&gt;
| style="text-align:right;" | 13.07
| 13.07
| style="text-align:center;" |Triru-agu
| Triru-agu
| style="text-align:center;" | Orwellisma
| Orwellisma
| style="text-align:center;" | Orwell Comma
| Orwell comma
| style="text-align:center;" |  
|  
|-
|-
| style="text-align:center;" | 1029/1024
| "
| 1029/1024
| |<nowiki> | -10 1 0 3 </nowiki>&gt;
| |<nowiki> | -10 1 0 3 </nowiki>&gt;
| style="text-align:right;" | 8.43
| 8.43
| style="text-align:center;" |Latrizo
| Latrizo
| style="text-align:center;" | Gamelisma
| Gamelisma
| style="text-align:center;" |  
|  
| style="text-align:center;" |  
|  
|-
|-
| style="text-align:center;" | 321489/320000
| "
| 321489/320000
| |<nowiki> | -9 8 -4 2 </nowiki>&gt;
| |<nowiki> | -9 8 -4 2 </nowiki>&gt;
| style="text-align:right;" | 8.04
| 8.04
| style="text-align:center;" |Labizogugu
| Labizogugu
| style="text-align:center;" | Varunisma
| Varunisma
| style="text-align:center;" |  
|  
| style="text-align:center;" |  
|  
|-
|-
| style="text-align:center;" | 1065875/1063543
| "
| 1065875/1063543
| |<nowiki> | -26 -1 1 9 </nowiki>&gt;
| |<nowiki> | -26 -1 1 9 </nowiki>&gt;
| style="text-align:right;" | 3.79
| 3.79
| style="text-align:center;" |Latritrizo-ayo
| Latritrizo-ayo
| style="text-align:center;" | Wadisma
| Wadisma
| style="text-align:center;" |  
|  
| style="text-align:center;" |  
|  
|-
|-
| style="text-align:center;" | 4375/4374
| "
| 4375/4374
| |<nowiki> | -1 -7 4 1 </nowiki>&gt;
| |<nowiki> | -1 -7 4 1 </nowiki>&gt;
| style="text-align:right;" | 0.40
| 0.40
| style="text-align:center;" |Zoquadyo
| Zoquadyo
| style="text-align:center;" | Ragisma
| Ragisma
| style="text-align:center;" |  
|  
| style="text-align:center;" |  
|  
|-
|-
| style="text-align:center;" | 99/98
| 11
| 99/98
| |<nowiki> | -1 2 0 -2 1 </nowiki>&gt;
| |<nowiki> | -1 2 0 -2 1 </nowiki>&gt;
| style="text-align:right;" | 17.58
| 17.58
| style="text-align:center;" |Loruru
| Loruru
| style="text-align:center;" | Mothwellsma
| Mothwellsma
| style="text-align:center;" |  
|  
| style="text-align:center;" |  
|  
|-
|-
| style="text-align:center;" | 100/99
| "
| 100/99
| |<nowiki> | 2 -2 2 0 -1 </nowiki>&gt;
| |<nowiki> | 2 -2 2 0 -1 </nowiki>&gt;
| style="text-align:right;" | 17.40
| 17.40
| style="text-align:center;" |Luyoyo
| Luyoyo
| style="text-align:center;" | Ptolemisma
| Ptolemisma
| style="text-align:center;" |  
|  
| style="text-align:center;" |  
|  
|-
|-
| style="text-align:center;" | 105/104
| "
| |<nowiki> | -3 1 1 1 0 -1 </nowiki>&gt;
| 65536/65219
| style="text-align:right;" | 16.57
| style="text-align:center;" |Thuzoyo
| style="text-align:center;" | Animist
| style="text-align:center;" |
| style="text-align:center;" |
|-
| style="text-align:center;" | 65536/65219
| |<nowiki> | 16 0 0 -2 -3 </nowiki>&gt;
| |<nowiki> | 16 0 0 -2 -3 </nowiki>&gt;
| style="text-align:right;" | 8.39
| 8.39
| style="text-align:center;" |Satrilu-aruru
| Satrilu-aruru
| style="text-align:center;" | Orgonisma
| Orgonisma
| style="text-align:center;" |  
|  
| style="text-align:center;" |  
|  
|-
|-
| style="text-align:center;" | 385/384
| "
| 385/384
| |<nowiki> | -7 -1 1 1 1 </nowiki>&gt;
| |<nowiki> | -7 -1 1 1 1 </nowiki>&gt;
| style="text-align:right;" | 4.50
| 4.50
| style="text-align:center;" |Lozoyo
| Lozoyo
| style="text-align:center;" | Keenanisma
| Keenanisma
| style="text-align:center;" |  
|  
| style="text-align:center;" |  
|  
|-
|-
| style="text-align:center;" | 441/440
| "
| 441/440
| |<nowiki> | -3 2 -1 2 -1 </nowiki>&gt;
| |<nowiki> | -3 2 -1 2 -1 </nowiki>&gt;
| style="text-align:right;" | 3.93
| 3.93
| style="text-align:center;" |Luzozogu
| Luzozogu
| style="text-align:center;" | Werckisma
| Werckisma
| style="text-align:center;" |  
|  
| style="text-align:center;" |  
|  
|-
|-
| style="text-align:center;" | 3025/3024
| "
| 3025/3024
| |<nowiki> | -4 -3 2 -1 2 </nowiki>&gt;
| |<nowiki> | -4 -3 2 -1 2 </nowiki>&gt;
| style="text-align:right;" | 0.57
| 0.57
| style="text-align:center;" |Loloruyoyo
| Loloruyoyo
| style="text-align:center;" | Lehmerisma
| Lehmerisma
| style="text-align:center;" |  
|  
| style="text-align:center;" |  
|  
|-
|-
| style="text-align:center;" | 9801/9800
| "
| 9801/9800
| |<nowiki> | -3 4 -2 -2 2 </nowiki>&gt;
| |<nowiki> | -3 4 -2 -2 2 </nowiki>&gt;
| style="text-align:right;" | 0.18
| 0.18
| style="text-align:center;" |Bilorugu
| Bilorugu
| style="text-align:center;" | Kalisma
| Kalisma
| style="text-align:center;" | Gauss' Comma
| Gauss' comma
| style="text-align:center;" |  
|
|-
| 13
| 105/104
| |<nowiki> | -3 1 1 1 0 -1 </nowiki>&gt;
| 16.57
| Thuzoyo
| Animist
|  
|  
|}
|}


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