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91edo: Difference between revisions

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== Selected intervals ==
== Intervals ==
Eliora, who believes the diatonic way of naming intervals in 91edo is not useful due to the fact that other temperaments and techniques for 91edo are more prominent, proposes a way of naming that merges the factors 7 and 13 - 7 equidistant notes are named do, re, mi, and 13 are named by some other virtue. The proposition is to use Old Slavic letter names, since no one uses them for naming or in mathematics. The 7 + 13 naming convention can be called a duality notation. Intervals can be named through Latin ones for the 7-note scale, and Greek ones for the 13-note.
Eliora, who believes the diatonic way of naming intervals in 91edo is not useful due to the fact that other temperaments and techniques for 91edo are more prominent, proposes a way of naming that merges the factors 7 and 13 - 7 equidistant notes are named do, re, mi, and 13 are named by some other virtue. The proposition is to use Old Slavic letter names, since no one uses them for naming or in mathematics. The 7 + 13 naming convention can be called a duality notation. Intervals can be named through Latin ones for the 7-note scale, and Greek ones for the 13-note.


Line 59: Line 59:
! Associated Ratio
! Associated Ratio
|-
|-
|0
|0  
|unison, perfect prime, perfect prota
|unison <br>perfect prime <br>perfect prota
|C, Az
|C <br>Az (А)
|[[1/1]]
|[[1/1]]
|-
|-
|1
|1  
|major prime, major prota
|major prime <br>major prota
|C#
|C# <br>Az#
|
|
|-
|2
|augmented prota
|Az##
|
|-
|3
|biaugmented prota
|Az###
|
|-
|4
|bidiminished deiteria
|Buki♭♭♭
|
|-
|5
|diminished deiteria
|Buki♭♭
|
|-
|6
|minor deiteria
|Buki♭
|  
|-
|-
|7
|7  
|neutral deiteria
|neutral deiteria
|Buki
|Buki (Б)
|
|
|-
|8
|major deiteria
|Buki#
|
|-
|9
|augmented deiteria
|Buki##
|
|-
|10
|biaugmented deiteria
|Buki###
|
|-
|11
|bidiminished tritia
|Vedi♭♭♭
|[[13/12]], [[12/11]]
|-
|12
|diminished tritia
|Vedi♭♭
|  
|-
|-
|13
|13  
|neutral secunde
|neutral secunde <br>minor tritia
|D
|D <br>Vedi♭
|
|[[11/10]]
|-
|-
|14
|14  
|neural tritia
|neural tritia
|Vedi
|Vedi (В)
|
|[[10/9]]
|-
|15
|major tritia
|Vedi#
|[[9/8]]
|-
|16
|augmented tritia
|Vedi##
|
|-
|17
|biaugmented tritia
|Vedi###
|
|-
|18
|bidiminished tesseria
|Glagol♭♭♭
|[[8/7]]
|-
|19
|diminished tesseria
|Glagol♭♭
|  
|-
|-
|20
|20  
|minor tesseria
|minor tesseria
|Glagol♭
|Glagol♭
|[[7/6]]
|[[7/6]]
|-
|-
|21
|21  
|neutral tesseria
|neutral tesseria
|Glagol
|Glagol (Г)
|
|
|-
|22
|major tesseria
|Glagol#
|[[13/11]]
|-
|23
|augmented tesseria
|Glagol##
|
|-
|24
|biaugmented tesseria
|Glagol###
|[[6/5]]
|-
|25
|bidiminished pemptia
|Dobro♭♭♭
|  
|-
|-
|26
|26  
|neutral tertie
|neutral tertie <br>diminished pemptia
|E
|E <br>Dobro♭♭
|[[11/9]]
|[[11/9]]
|-
|-
|27
|27  
|major tertie, minor pemptia
|major tertie <br>minor pemptia
|E#
|E# <br>Dobro♭
|[[16/13]], 27/22
|[[16/13]], 27/22
|-
|-
|28
|28  
|neutral pemptia
|neutral pemptia
|Dobro
|Dobro (Д)
|
|
|-
|29
|major pemptia
|Dobro#
|[[5/4]]
|-
|30
|augmented pemptia
|Dobro##
|
|-
|31
|biaugmented pemptia
|Dobro###
|
|-
|32
|bidiminished hektia
|Yest♭♭♭
|[[14/11]]
|-
|33
|diminished hektia
|Yest♭♭
|[[9/7]]
|-
|34
|minor hektia
|Yest♭
|  
|-
|-
|35
|35  
|neutral hektia
|neutral hektia
|Yest
|Yest (Е)
|
|
|-
|36
|major hektia
|Yest#
|
|-
|37
|augmented hektia
|Yest##
|
|-
|38
|biaugmented hektia
|Yest###
|[[4/3]]
|-
|39
|neutral quarte <br>bidiminished hebdomia
|F <br>Zhivete♭♭♭
|
|-
|40
|diminished hebdomia
|Zhivete♭♭
|  
|-
|-
|39
|41
|neutral quarte
|minor hebdomia
|F
|Zhivete♭
|
|  
|-
|-
|42
|42  
|neutral hebdomia
|neutral hebdomia
|Zhivete
|Zhivete (Ж)
|
|[[11/8]]
|-
|43
|major hebdomia
|Zhivete#
|  
|-
|-
|44
|44  
|augmented hebdomia
|augmented hebdomia
|Zhivete##
|Zhivete##
|[[7/5]]
|[[7/5]]
|-
|-
|45
|45  
|biaugmented hebdomia
|biaugmented hebdomia
|Zhivete###
|Zhivete###
|[[10/7]]
|
|-
|46
|bidiminished ogdonia
|Dzelo♭♭♭
|
|-
|47
|diminished ogdonia
|Dzelo♭♭
|[[10/7]]  
|-
|48
|minor ogdonia
|Dzelo♭
|
|-
|-
|49
|49
|neutral ogdonia
|neutral ogdonia
|Dzelo
|Dzelo (Ѕ)
|
|
|-
|-
Line 150: Line 320:
|-
|-
|54
|54
|augmented quinte, diminished ennatia
|augmented quinte <br>diminished ennatia
|G##, Zemle♭♭
|G## <br>Zemle♭♭
|[[3/2]] II, [[256/169]]
|[[256/169]]
|-
|-
|55
|55
Line 161: Line 331:
|56
|56
|neutral ennatia
|neutral ennatia
|Zemle
|Zemle (З)
|
|
|-
|-
|63
|63
|neutral decatia
|neutral decatia
|Izhe
|Izhe (И)
|
|
|-
|-
|64
|64
|major decatia, minor sexte
|major decatia <br>minor sexte
|Izhe#, A♭
|Izhe# <br>A♭
|
|
|-
|-
Line 181: Line 351:
|70
|70
|neutral hendecatia
|neutral hendecatia
|Jerve
|Jerve (Ђ)
|
|
|-
|-
|77
|77
|neutral dodecatia
|neutral dodecatia
|Kako
|Kako (К)
|
|
|-
|-
Line 196: Line 366:
|84
|84
|neutral decatotritia
|neutral decatotritia
|Ludi
|Ludi (Л)
|
|
|-
|-
|91
|91
|perfect octave, perfect decatotetartia
|perfect octave <br>perfect decatotetartia
|C, Az
|C <br>Az (А)
|[[2/1]] exact
|[[2/1]] exact
|}
|}
Line 211: Line 381:
* Septimin[9]: 11 9 11 9 11 9 11 9 11
* Septimin[9]: 11 9 11 9 11 9 11 9 11
* ArabicSeptimin[9]: 5 15 11 9 11 9 5 15 11
* ArabicSeptimin[9]: 5 15 11 9 11 9 5 15 11
*[[Semaphore5]]: 19 19 19 19 15
* [[Semaphore5]]: 19 19 19 19 15
* [[Semaphore9]]
* [[Semaphore9]]
* [[Semaphore14]]
* [[Semaphore14]]
Retrieved from "https://en.xen.wiki/w/91edo"