Diasem: Difference between revisions

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'''Diasem''' is a [[Maximum variety|max-variety-3]] scale with step pattern 5L 2M 2s (with two rotationally non-equivalent variants LMLSLMLSL or LSLMLSLML; these are mirror images) that is equivalent to the [[semiquartal]] ([[5L 4s]]) mos with two of the small steps made larger and the other two made smaller. It can be tuned as a 7-limit (specifically [[Just intonation subgroup|2.3.7 subgroup]]) JI scale or a tempered version thereof. This results in better melodic properties than the diatonic scales of [[26edo]] and [[31edo]], which both support it. The scale can be generated by an alternating chain of subminor thirds and supermajor seconds. The name "diasem" is a portmanteau of "diatonic" and "semiquartal" since its step sizes are intermediate between that of [[diatonic]] (5L 2s) and [[semiquartal]] (5L 4s); it is also a pun based on the [[diesis]], ~~a defining~~ step ~~size~~ in the scale.

'''Diasem''' is a [[Maximum variety|max-variety-3]] scale with step pattern 5L 2M 2s (with two rotationally non-equivalent variants LMLSLMLSL or LSLMLSLML; these are mirror images) that is equivalent to the [[semiquartal]] ([[5L 4s]]) mos with two of the small steps made larger and the other two made smaller. It can be tuned as a 7-limit (specifically [[Just intonation subgroup|2.3.7 subgroup]]) JI scale or a tempered version thereof. This results in better melodic properties than the diatonic scales of [[26edo]] and [[31edo]], which both support it. The scale can be generated by an alternating chain of subminor thirds and supermajor seconds. The name "diasem" is a portmanteau of "diatonic" and "semiquartal" since its step sizes are intermediate between that of [[diatonic]] (5L 2s) and [[semiquartal]] (5L 4s); it is also a pun based on the [[diesis]], which appears as the small step in the scale in the [[31edo]] and [[36edo]] tunings.

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Revision as of 05:00, 16 July 2021 view source Inthar (talk \| contribs) autopatrolled 15,004 edits No edit summary Tags: Mobile edit Mobile web edit ← Older edit		Revision as of 05:08, 16 July 2021 view source Inthar (talk \| contribs) autopatrolled 15,004 edits clarify "defining step size" Tags: Mobile edit Mobile web edit Newer edit →
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	'''Diasem''' is a [[Maximum variety\|max-variety-3]] scale with step pattern 5L 2M 2s (with two rotationally non-equivalent variants LMLSLMLSL or LSLMLSLML; these are mirror images) that is equivalent to the [[semiquartal]] ([[5L 4s]]) mos with two of the small steps made larger and the other two made smaller. It can be tuned as a 7-limit (specifically [[Just intonation subgroup\|2.3.7 subgroup]]) JI scale or a tempered version thereof. This results in better melodic properties than the diatonic scales of [[26edo]] and [[31edo]], which both support it. The scale can be generated by an alternating chain of subminor thirds and supermajor seconds. The name "diasem" is a portmanteau of "diatonic" and "semiquartal" since its step sizes are intermediate between that of [[diatonic]] (5L 2s) and [[semiquartal]] (5L 4s); it is also a pun based on the [[diesis]], ~~a defining~~ step ~~size~~ in the scale.		'''Diasem''' is a [[Maximum variety\|max-variety-3]] scale with step pattern 5L 2M 2s (with two rotationally non-equivalent variants LMLSLMLSL or LSLMLSLML; these are mirror images) that is equivalent to the [[semiquartal]] ([[5L 4s]]) mos with two of the small steps made larger and the other two made smaller. It can be tuned as a 7-limit (specifically [[Just intonation subgroup\|2.3.7 subgroup]]) JI scale or a tempered version thereof. This results in better melodic properties than the diatonic scales of [[26edo]] and [[31edo]], which both support it. The scale can be generated by an alternating chain of subminor thirds and supermajor seconds. The name "diasem" is a portmanteau of "diatonic" and "semiquartal" since its step sizes are intermediate between that of [[diatonic]] (5L 2s) and [[semiquartal]] (5L 4s); it is also a pun based on the [[diesis]], which appears as the small step in the scale in the [[31edo]] and [[36edo]] tunings.

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