MOS scale: Difference between revisions
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* Every MOS scale has two ''child MOS'' scales. The two children of the MOS scale ''a''L ''b''s are {{nowrap| (''a'' + ''b'')L ''a''s }} (generated by generators of soft-of-basic ''a''L ''b''s) and {{nowrap| ''a''L (''a'' + ''b'')s }} (generated by generators of hard-of-basic ''a''L'' b''s). | * Every MOS scale has two ''child MOS'' scales. The two children of the MOS scale ''a''L ''b''s are {{nowrap| (''a'' + ''b'')L ''a''s }} (generated by generators of soft-of-basic ''a''L ''b''s) and {{nowrap| ''a''L (''a'' + ''b'')s }} (generated by generators of hard-of-basic ''a''L'' b''s). | ||
* Every MOS scale (with a specified [[equave]] ''Ɛ''), excluding {{nowrap|''a''L ''a''s{{angbr|''Ɛ''}} }}, has a ''parent MOS''. If {{nowrap| ''a'' > ''b'' }}, the parent of ''a''L ''b''s is {{nowrap| ''b''L (''a'' − ''b'')s }}; if {{nowrap| ''a'' < ''b'' }}, the parent of ''a''L ''b''s is {{nowrap| ''a''L (''b'' − ''a'')s }}. | * Every MOS scale (with a specified [[equave]] ''Ɛ''), excluding {{nowrap|''a''L ''a''s{{angbr|''Ɛ''|-)}} }}, has a ''parent MOS''. If {{nowrap| ''a'' > ''b'' }}, the parent of ''a''L ''b''s is {{nowrap| ''b''L (''a'' − ''b'')s }}; if {{nowrap| ''a'' < ''b'' }}, the parent of ''a''L ''b''s is {{nowrap| ''a''L (''b'' − ''a'')s }}. | ||
=== Advanced discussion === | === Advanced discussion === | ||
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== Individual pages for MOS scales == | == Individual pages for MOS scales == | ||
''See also: [[Catalog of MOS]]'' | |||
=== L ≤ 12, s ≤ 12 === | === L ≤ 12, s ≤ 12 === | ||
{| class="wikitable center-all" | {| class="wikitable center-all" | ||
| Line 311: | Line 313: | ||
| [[12L 11s]] | | [[12L 11s]] | ||
| [[12L 12s]] | | [[12L 12s]] | ||
|} | |||
=== L ≤ 12, 13 ≤ s ≤ 24 === | |||
{| class="wikitable mw-collapsible mw-collapsed center-all" | |||
|+ style="font-size: 105%; white-space: nowrap;" | Pages for MOS scales ({{nowrap|L ≤ 12|13 ≤ s ≤ 24}}) | |||
|- | |||
| [[1L 13s]] | |||
| [[1L 14s]] | |||
| [[1L 15s]] | |||
| [[1L 16s]] | |||
| [[1L 17s]] | |||
| [[1L 18s]] | |||
| [[1L 19s]] | |||
| [[1L 20s]] | |||
| [[1L 21s]] | |||
| [[1L 22s]] | |||
| [[1L 23s]] | |||
| [[1L 24s]] | |||
|- | |||
| [[2L 13s]] | |||
| [[2L 14s]] | |||
| [[2L 15s]] | |||
| [[2L 16s]] | |||
| [[2L 17s]] | |||
| [[2L 18s]] | |||
| [[2L 19s]] | |||
| [[2L 20s]] | |||
| [[2L 21s]] | |||
| [[2L 22s]] | |||
| [[2L 23s]] | |||
| [[2L 24s]] | |||
|- | |||
| [[3L 13s]] | |||
| [[3L 14s]] | |||
| [[3L 15s]] | |||
| [[3L 16s]] | |||
| [[3L 17s]] | |||
| [[3L 18s]] | |||
| [[3L 19s]] | |||
| [[3L 20s]] | |||
| [[3L 21s]] | |||
| [[3L 22s]] | |||
| [[3L 23s]] | |||
| [[3L 24s]] | |||
|- | |||
| [[4L 13s]] | |||
| [[4L 14s]] | |||
| [[4L 15s]] | |||
| [[4L 16s]] | |||
| [[4L 17s]] | |||
| [[4L 18s]] | |||
| [[4L 19s]] | |||
| [[4L 20s]] | |||
| [[4L 21s]] | |||
| [[4L 22s]] | |||
| [[4L 23s]] | |||
| [[4L 24s]] | |||
|- | |||
| [[5L 13s]] | |||
| [[5L 14s]] | |||
| [[5L 15s]] | |||
| [[5L 16s]] | |||
| [[5L 17s]] | |||
| [[5L 18s]] | |||
| [[5L 19s]] | |||
| [[5L 20s]] | |||
| [[5L 21s]] | |||
| [[5L 22s]] | |||
| [[5L 23s]] | |||
| [[5L 24s]] | |||
|- | |||
| [[6L 13s]] | |||
| [[6L 14s]] | |||
| [[6L 15s]] | |||
| [[6L 16s]] | |||
| [[6L 17s]] | |||
| [[6L 18s]] | |||
| [[6L 19s]] | |||
| [[6L 20s]] | |||
| [[6L 21s]] | |||
| [[6L 22s]] | |||
| [[6L 23s]] | |||
| [[6L 24s]] | |||
|- | |||
| [[7L 13s]] | |||
| [[7L 14s]] | |||
| [[7L 15s]] | |||
| [[7L 16s]] | |||
| [[7L 17s]] | |||
| [[7L 18s]] | |||
| [[7L 19s]] | |||
| [[7L 20s]] | |||
| [[7L 21s]] | |||
| [[7L 22s]] | |||
| [[7L 23s]] | |||
| [[7L 24s]] | |||
|- | |||
| [[8L 13s]] | |||
| [[8L 14s]] | |||
| [[8L 15s]] | |||
| [[8L 16s]] | |||
| [[8L 17s]] | |||
| [[8L 18s]] | |||
| [[8L 19s]] | |||
| [[8L 20s]] | |||
| [[8L 21s]] | |||
| [[8L 22s]] | |||
| [[8L 23s]] | |||
| [[8L 24s]] | |||
|- | |||
| [[9L 13s]] | |||
| [[9L 14s]] | |||
| [[9L 15s]] | |||
| [[9L 16s]] | |||
| [[9L 17s]] | |||
| [[9L 18s]] | |||
| [[9L 19s]] | |||
| [[9L 20s]] | |||
| [[9L 21s]] | |||
| [[9L 22s]] | |||
| [[9L 23s]] | |||
| [[9L 24s]] | |||
|- | |||
| [[10L 13s]] | |||
| [[10L 14s]] | |||
| [[10L 15s]] | |||
| [[10L 16s]] | |||
| [[10L 17s]] | |||
| [[10L 18s]] | |||
| [[10L 19s]] | |||
| [[10L 20s]] | |||
| [[10L 21s]] | |||
| [[10L 22s]] | |||
| [[10L 23s]] | |||
| [[10L 24s]] | |||
|- | |||
| [[11L 13s]] | |||
| [[11L 14s]] | |||
| [[11L 15s]] | |||
| [[11L 16s]] | |||
| [[11L 17s]] | |||
| [[11L 18s]] | |||
| [[11L 19s]] | |||
| [[11L 20s]] | |||
| [[11L 21s]] | |||
| [[11L 22s]] | |||
| [[11L 23s]] | |||
| [[11L 24s]] | |||
|- | |||
| [[12L 13s]] | |||
| [[12L 14s]] | |||
| [[12L 15s]] | |||
| [[12L 16s]] | |||
| [[12L 17s]] | |||
| [[12L 18s]] | |||
| [[12L 19s]] | |||
| [[12L 20s]] | |||
| [[12L 21s]] | |||
| [[12L 22s]] | |||
| [[12L 23s]] | |||
| [[12L 24s]] | |||
|} | |} | ||
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| [[24L 11s]] | | [[24L 11s]] | ||
| [[24L 12s]] | | [[24L 12s]] | ||
|} | |} | ||
=== Larger MOS scales === | === Larger MOS scales === | ||
[[12L 29s]], [[12L 41s]], [[13L 14s]], [[14L 13s]], [[17L 14s]], [[25L 6s]] | [[7L 34s]], [[9L 29s]], [[12L 29s]], [[12L 41s]], [[13L 14s]], [[14L 13s]], [[17L 14s]], [[25L 6s]], [[41L 12s]] | ||
== Variations == | == Variations == | ||
| Line 650: | Line 652: | ||
== See also == | == See also == | ||
* Pailiaq's [https://www.pailiaq.com/xen/mos-explorer MOS explorer], an interactive tool for visualizing MOSses and the MOS spectrum. | |||
* [[Diamond-mos notation]], a microtonal [[notation]] system focused on MOS scales | * [[Diamond-mos notation]], a microtonal [[notation]] system focused on MOS scales | ||
* [[Metallic MOS]], an article focusing on MOS scales based on metallic means, such as [[phi]] | * [[Metallic MOS]], an article focusing on MOS scales based on metallic means, such as [[phi]] | ||
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* [[:Category:MOS scales|Category:MOS scales]], the category including all MOS-related articles on this wiki | * [[:Category:MOS scales|Category:MOS scales]], the category including all MOS-related articles on this wiki | ||
* [[Gallery of MOS patterns]] | * [[Gallery of MOS patterns]] | ||
* [[Gral method]], a method for calculating MOS | |||
== Notes == | == Notes == | ||