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91edo: Difference between revisions

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-"RTT interpretation" of "concoctic scale" (extracting mapping from scale pattern is ambiguous by nature), relegate to "misc. properties" section. -number symbolism (irrelevant)
Final cleanup
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† derived from scales in the Scales section, official name not decided upon yet.
† derived from scales in the Scales section, official name not decided upon yet.


== Intervals ==
== Notation ==
=== Eliora's notation ===
[[User:Eliora|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.
[[User:Eliora|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.


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! Associated Ratio
! Associated Ratio
|-
|-
|0  
| 0  
|unison <br>perfect prime <br>perfect prota
| unison <br>perfect prime <br>perfect prota
|A <br>Az (А)
| A <br>Az (А)
|[[1/1]]
| [[1/1]]
|-
|-
|1  
| 1  
|major prime <br>major prota
| major prime <br>major prota
|A# <br>Az#
| A# <br>Az#
| [[1728/1715]]
| [[1728/1715]]
|-
|-
|2  
| 2  
|augmented prota
| augmented prota
|Az##
| Az##
|  
|  
|-
|-
|3  
| 3  
|biaugmented prota
| biaugmented prota
|Az###
| Az###
|  
|  
|-
|-
|4  
| 4  
|bidiminished deiteria
| bidiminished deiteria
|Buki♭♭♭
| Buki♭♭♭
| [[33/32]]
| [[33/32]]
|-
|-
|5  
|5  
|diminished deiteria
| diminished deiteria
|Buki♭♭
| Buki♭♭
|  
|  
|-
|-
|6  
| 6  
|minor deiteria
| minor deiteria
|Buki♭
| Buki♭
|  
|  
|-
|-
|7  
| 7  
|neutral deiteria
| neutral deiteria
|Buki (Б)
| Buki (Б)
| [[135/128]]
| [[135/128]]
|-
|-
|8  
| 8  
|major deiteria
| major deiteria
|Buki#
| Buki#
|  
|  
|-
|-
|9  
| 9  
|augmented deiteria
| augmented deiteria
|Buki##
| Buki##
|  
|  
|-
|-
|10  
| 10  
|biaugmented deiteria
| biaugmented deiteria
|Buki###
| Buki###
|  
|  
|-
|-
|11  
| 11  
|bidiminished tritia
| bidiminished tritia
|Vedi♭♭♭
| Vedi♭♭♭
|[[13/12]], [[12/11]]
| [[13/12]], [[12/11]]
|-
|-
|12  
| 12  
|diminished tritia
| diminished tritia
|Vedi♭♭
| Vedi♭♭
|  
|  
|-
|-
|13  
| 13  
|neutral secunde <br>minor tritia
| neutral secunde <br>minor tritia
|B<br>Vedi♭
| B<br>Vedi♭
|[[11/10]]
| [[11/10]]
|-
|-
|14  
| 14  
|neural tritia
| neural tritia
|Vedi (В)
| Vedi (В)
|[[10/9]]
| [[10/9]]
|-
|-
|15  
| 15  
|major tritia
| major tritia
|Vedi#
| Vedi#
|[[9/8]]
| [[9/8]]
|-
|-
|16  
| 16  
|augmented tritia
| augmented tritia
|Vedi##
| Vedi##
|  
|  
|-
|-
|17  
| 17  
|biaugmented tritia
| biaugmented tritia
|Vedi###
| Vedi###
|  
|  
|-
|-
|18  
| 18  
|bidiminished tesseria
| bidiminished tesseria
|Glagol♭♭♭
| Glagol♭♭♭
|[[8/7]]
| [[8/7]]
|-
|-
|19  
| 19  
|diminished tesseria
| diminished tesseria
|Glagol♭♭
| Glagol♭♭
|  
|  
|-
|-
|20  
| 20  
|minor tesseria
| minor tesseria
|Glagol♭
| Glagol♭
|[[7/6]]
| [[7/6]]
|-
|-
|21  
| 21  
|neutral tesseria
| neutral tesseria
|Glagol (Г)
| Glagol (Г)
|  
|  
|-
|-
|22  
| 22  
|major tesseria
| major tesseria
|Glagol#
| Glagol#
|[[13/11]]
| [[13/11]]
|-
|-
|23  
| 23  
|augmented tesseria
| augmented tesseria
|Glagol##
| Glagol##
|  
|  
|-
|-
|24  
| 24  
|biaugmented tesseria
| biaugmented tesseria
|Glagol###
| Glagol###
|[[6/5]]
| [[6/5]]
|-
|-
|25  
| 25  
|bidiminished pemptia
| bidiminished pemptia
|Dobro♭♭♭
| Dobro♭♭♭
|  
|  
|-
|-
|26  
| 26  
|neutral tertie <br>diminished pemptia
| neutral tertie <br>diminished pemptia
|C <br>Dobro♭♭
| C <br>Dobro♭♭
|[[11/9]]
| [[11/9]]
|-
|-
|27  
| 27  
|major tertie <br>minor pemptia
| major tertie <br>minor pemptia
|C# <br>Dobro♭
| C# <br>Dobro♭
|[[16/13]], 27/22
| [[16/13]], 27/22
|-
|-
|28  
| 28  
|neutral pemptia
| neutral pemptia
|Dobro (Д)
| Dobro (Д)
|  
|  
|-
|-
|29  
| 29  
|major pemptia
| major pemptia
|Dobro#
| Dobro#
|[[5/4]]
| [[5/4]]
|-
|-
|30  
| 30  
|augmented pemptia
| augmented pemptia
|Dobro##
| Dobro##
|  
|  
|-
|-
|31  
| 31  
|biaugmented pemptia
| biaugmented pemptia
|Dobro###
| Dobro###
|  
|  
|-
|-
|32  
| 32  
|bidiminished hektia
| bidiminished hektia
|Yest♭♭♭
| Yest♭♭♭
|[[14/11]]
| [[14/11]]
|-
|-
|33  
| 33  
|diminished hektia
| diminished hektia
|Yest♭♭
| Yest♭♭
|[[9/7]]
| [[9/7]]
|-
|-
|34  
| 34  
|minor hektia
| minor hektia
|Yest♭
| Yest♭
|  
|  
|-
|-
|35  
| 35  
|neutral hektia
| neutral hektia
|Yest (Е)
| Yest (Е)
|  
|  
|-
|-
|36  
| 36  
|major hektia
| major hektia
|Yest#
| Yest#
|  
|  
|-
|-
|37  
| 37  
|augmented hektia
| augmented hektia
|Yest##
| Yest##
|  
|  
|-
|-
|38  
| 38  
|biaugmented hektia
| biaugmented hektia
|Yest###
| Yest###
|[[4/3]]
| [[4/3]]
|-
|-
|39  
| 39  
|neutral quarte <br>bidiminished hebdomia
| neutral quarte <br>bidiminished hebdomia
|D<br>Zhivete♭♭♭
| D<br>Zhivete♭♭♭
|  
|  
|-
|-
|40  
| 40  
|diminished hebdomia
| diminished hebdomia
|Zhivete♭♭
| Zhivete♭♭
|  
|  
|-
|-
|41  
| 41  
|minor hebdomia
| minor hebdomia
|Zhivete♭
| Zhivete♭
|  
|  
|-
|-
|42  
| 42  
|neutral hebdomia
| neutral hebdomia
|Zhivete (Ж)
| Zhivete (Ж)
|[[11/8]]
| [[11/8]]
|-
|-
|43  
| 43  
|major hebdomia
| major hebdomia
|Zhivete#
| Zhivete#
|  
|  
|-
|-
|44  
| 44  
|augmented hebdomia
| augmented hebdomia
|Zhivete##
| Zhivete##
|[[7/5]]
| [[7/5]]
|-
|-
|45  
| 45  
|biaugmented hebdomia
| biaugmented hebdomia
|Zhivete###
| Zhivete###
|
|  
|-
|-
|46  
| 46  
|bidiminished ogdonia
| bidiminished ogdonia
|Dzelo♭♭♭
| Dzelo♭♭♭
|  
|  
|-
|-
|47  
| 47  
|diminished ogdonia
| diminished ogdonia
|Dzelo♭♭
| Dzelo♭♭
|[[10/7]]  
| [[10/7]]  
|-
|-
|48  
| 48  
|minor ogdonia
| minor ogdonia
|Dzelo♭
| Dzelo♭
|  
|  
|-
|-
|49
| 49
|neutral ogdonia
| neutral ogdonia
|Dzelo (Ѕ)
| Dzelo (Ѕ)
|
|  
|-
|-
|52
| 52
|neutral quinte
| neutral quinte
|E
| E
|121/81
| 121/81
|-
|-
|53
| 53
|major quinte
| major quinte
|E#
| E#
|[[3/2]]
| [[3/2]]
|-
|-
|54
| 54
|augmented quinte <br>diminished ennatia
| augmented quinte <br>diminished ennatia
|E## <br>Zemle♭♭
| E## <br>Zemle♭♭
|[[256/169]]
| [[256/169]]
|-
|-
|55
| 55
|minor ennatia
| minor ennatia
|Zemle♭
| Zemle♭
|
|  
|-
|-
|56
| 56
|neutral ennatia
| neutral ennatia
|Zemle (З)
| Zemle (З)
|
|  
|-
|-
|63
| 63
|neutral decatia
| neutral decatia
|Izhe (И)
| Izhe (И)
|
|  
|-
|-
|64
| 64
|major decatia <br>minor sexte
| major decatia <br>minor sexte
|Izhe# <br>F♭
| Izhe# <br>F♭
|
|  
|-
|-
|65
| 65
|neutral sexte
| neutral sexte
|F
| F
|
|  
|-
|-
|70
| 70
|neutral hendecatia
| neutral hendecatia
|Jerve (Ђ)
| Jerve (Ђ)
|
|  
|-
|-
|77
| 77
|neutral dodecatia
| neutral dodecatia
|Kako (К)
| Kako (К)
|
|  
|-
|-
|78
| 78
|neutral septime
| neutral septime
|G
| G
|
|  
|-
|-
|84
| 84
|neutral decatotritia
| neutral decatotritia
|Ludi (Л)
| Ludi (Л)
|
|  
|-
|-
|91
| 91
|perfect octave <br>perfect decatotetartia
| perfect octave <br>perfect decatotetartia
|A<br>Az (А)
| A<br>Az (А)
|[[2/1]] exact
| [[2/1]] exact
|}
|}


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== Music ==
== Music ==
* [http://chrisvaisvil.com/dprk-ison-chase-12-of-91-edo-ambient/ DPRK ISON CHASE] by [[Chris Vaisvil]]
; [[Mercury Amalgam]]
** [https://www.youtube.com/watch?v=StCR6hcm5tM DPRK ISON CHASE - YouTube]
* ''Sadness - Nope'' (2022) – [https://mercuryamalgam.bandcamp.com/track/sadness-nope-the-molecular-agoge-pt-2 Bandcamp] | [https://www.youtube.com/watch?v=_5WS7AGZxm4 YouTube]
* [https://www.youtube.com/watch?v=_5WS7AGZxm4 Sadness - Nope] by [[Mercury Amalgam]]
 
; [[Chris Vaisvil]]
* ''DPRK ISON CHASE'' (2014) – [http://chrisvaisvil.com/dprk-ison-chase-12-of-91-edo-ambient/ blog] | [https://www.youtube.com/watch?v=StCR6hcm5tM YouTube]


[[Category:Animist]]
[[Category:Animist]]
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[[Category:Septimin]]
[[Category:Septimin]]
[[Category:Tripod]]
[[Category:Tripod]]
{{Todo| cleanup }}
Retrieved from "https://en.xen.wiki/w/91edo"