Omnidiatonic: Difference between revisions

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'''Omnidiatonic''' (also known as '''interdia''' and '''archylino''') is a 7-note [[Maximum variety|maximum-variety-3]] scale with the [[step signature]] 2L 3M 2s. Omnidiatonic is a [[chiral]] scale with LMsMLsM and LMsLMsM variants. [[14edo]] is the first equal division that supports omnidiatonic. The name "omnidiatonic" was given by [[User:CompactStar|CompactStar]] and the name "interdia" was given by [[User:Xenllium|Xenllium]], both of which refer to this scale being intermediate between the [[5L 2s]] diatonic scale and the [[2L 5s]] antidiatonic scale. The name "archylino" was given by [[User:AthiTrydhen|Praveen Venkataramana]], which refers to intervals separated by 64/63, the Archytas comma, being mapped to the same number of scale steps of 2.3.7 JI archylino 1/1 9/8 7/6 4/3 3/2 14/9 7/4 2/1 (MsLMsML).
'''Omnidiatonic''' (also known as '''interdia''' and '''archylino''') is a 7-note [[Maximum variety|maximum-variety-3]] scale with the [[step signature]] 2L 3M 2s. Omnidiatonic is a [[chiral]] scale with LMsMLsM and LMsLMsM variants. [[14edo]] is the first equal division that supports omnidiatonic. The name "omnidiatonic" was given by [[User:CompactStar|CompactStar]] and the name "interdia" was given by [[User:Xenllium|Xenllium]], both of which refer to this scale being intermediate between the [[5L 2s]] diatonic scale and the [[2L 5s]] antidiatonic scale. The name "archylino" was given by [[User:AthiTrydhen|Praveen Venkataramana]], which refers to intervals separated by 64/63, the Archytas comma, being mapped to the same number of scale steps of 2.3.7 JI archylino 1/1 9/8 7/6 4/3 3/2 14/9 7/4 2/1 (MsLMsML). In terms of Greek scales, this can be seen as Archytas' diatonic.


Omnidiatonic can be tuned as a 7-limit JI scale or a tempered version thereof, where L represents 8/7, M represents 9/8, and s represents 28/27.
Omnidiatonic can be tuned as a 7-limit JI scale or a tempered version thereof, where L represents 8/7, M represents 9/8, and s represents 28/27.