91edo: Difference between revisions

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 Since 7 and 13 are the only factors of 91, these numbers are the only ones which can produce naive scales.
+== Table of intervals ==
+Due to 91edo's unusual layout, there isn't one unique way to name notes in it, and due to its size, the diatonic way of naming is starting to lag.
+Eliora 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.
+{| class="wikitable"
+|+
+!Step
+!Interval
+<small>(duality notation)</small>
+!Name (if unison = 0)
+<small>(duality notation)</small>
+!Associated ratio
+|-
+|0
+|unison, perfect prime, perfect prota
+|C, Az
+|
+|-
+|1
+|major unison
+|C#
+|
+|-
+|7
+|neutral deiteria
+|Buki
+|
+|-
+|13
+|neutral secunde
+|D
+|
+|-
+|14
+|neural tritia
+|Vedi
+|
+|-
+|21
+|neutral tetartia
+|Glagol
+|
+|-
+|26
+|neutral tertie
+|E
+|
+|-
+|28
+|neutral pemptia
+|Dobro
+|
+|-
+|35
+|neutral hektia
+|Yest
+|
+|-
+|39
+|neutral quarte
+|F
+|
+|-
+|42
+|neutral hebdomia
+|Zhivete
+|
+|-
+|49
+|neutral ogdonia
+|Dzelo
+|
+|-
+|52
+|neutral quinte
+|G
+|
+|-
+|53
+|major quinte
+|G#
+|[[3/2]]
+|-
+|54
+|augmented quinte, diminished ennatia
+|G##, Zemle♭♭
+|[[3/2]] II
+|-
+|55
+|minor ennatia
+|Zemle♭
+|
+|-
+|56
+|neutral ennatia
+|Zemle
+|
+|-
+|63
+|neutral decatia
+|Izhe
+|
+|-
+|64
+|major decatia, minor sexte
+|Izhe#, A♭
+|
+|-
+|65
+|neutral sexte
+|A
+|
+|-
+|70
+|neutral hendecatia
+|Izhe-yi
+|
+|-
+|77
+|neutral dodecatia
+|Jerve
+|
+|-
+|78
+|neutral septime
+|B
+|
+|-
+|84
+|neutral decatotritia
+|Kako
+|
+|-
+|91
+|perfect octave, perfect decatotetartia
+|C, Az
+|
+|}
 == Scales ==