List of MOS scales in 31edo: Difference between revisions

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Since 31 is a prime number, any interval of a 31-tone equal scale ([[31edo|31 equal divisions of the octave]] or 31 equal divisions of a non-octave interval), when stacked, will continue generating new intervals until all 31 tones have been included. Thus, it is ripe for moment of symmetry scalesmithery.

Since 31 is a prime number, any interval of a 31-tone equal scale ([[31edo|31 equal divisions of the octave]] or 31 equal divisions of a non-octave interval), when stacked, will continue generating new intervals until all 31 tones have been included. Thus, it is ripe for moment of symmetry scalesmithery.{{MOSes in EDO|EDO=31}}

== MOS Families of 31edo ==

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* 14\31 = (P8, c⁵P4/12)

* 15\31 = (P8, ccP4/5)

~~== MOS Scales by Generator Pair ==~~

~~The following is a table that sorts all possible moment-of-symmetry scales by generator pair, including mos information, temperament-agnostic information, and temperament information. A few notes:~~

* The table denotes each family using a [[Horogram#Rectangular Horogram|rectangular horogram]], starting with 1L 1s and [[MOS Diagrams|adding notes]] until all 31 notes are added.

* For scales whose order of steps, from read left-to-right, starts with a large step and ends with a small step, the smaller of the two generators is the chroma-positive generator; otherwise, the larger of the two is the chroma-positive generator.

* TAMNAMS names are used wherever possible, excluding names for mosses with 3 or fewer notes and 1L ns scales for tidiness.

~~{{MOSes in EDO|EDO=31}}~~

== MOS Scales of 31edo by cardinality ==

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-Since 31 is a prime number, any interval of a 31-tone equal scale ([[31edo|31 equal divisions of the octave]] or 31 equal divisions of a non-octave interval), when stacked, will continue generating new intervals until all 31 tones have been included. Thus, it is ripe for moment of symmetry scalesmithery.
+Since 31 is a prime number, any interval of a 31-tone equal scale ([[31edo|31 equal divisions of the octave]] or 31 equal divisions of a non-octave interval), when stacked, will continue generating new intervals until all 31 tones have been included. Thus, it is ripe for moment of symmetry scalesmithery.{{MOSes in EDO|EDO=31}}
 == MOS Families of 31edo ==
@@ Line 24: / Line 24: @@
 * 14\31 = (P8, c⁵P4/12)
 * 15\31 = (P8, ccP4/5)
-== MOS Scales by Generator Pair ==
-The following is a table that sorts all possible moment-of-symmetry scales by generator pair, including mos information, temperament-agnostic information, and temperament information. A few notes:
-* The table denotes each family using a [[Horogram#Rectangular Horogram|rectangular horogram]], starting with 1L 1s and [[MOS Diagrams|adding notes]] until all 31 notes are added.
-* For scales whose order of steps, from read left-to-right, starts with a large step and ends with a small step, the smaller of the two generators is the chroma-positive generator; otherwise, the larger of the two is the chroma-positive generator.
-* TAMNAMS names are used wherever possible, excluding names for mosses with 3 or fewer notes and 1L ns scales for tidiness.
-{{MOSes in EDO|EDO=31}}
 == MOS Scales of 31edo by cardinality ==