「MOSスケール」の版間の差分

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* Strict MOSの場合、''a'' と ''b'' は互いに素である。''a'' と ''b'' の最大公約数が、等価音程内のピリオドの繰り返し数となる。

=== ~~Advanced discussion~~ ===

=== 高度な議論 ===

See:

* [[Mathematics of MOS]], a more formal definition and a discussion of the mathematical properties.

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* [[MOS diagrams]], visualizations of the MOS process.

* [http://x31eq.com/temper/method.html How to Find Linear Temperaments], by [[Graham Breed]]

== 変種 ==

* [[MODMOS scales]] are derived from chromatic alterations of one or more tones of an MOS scale, typically by the interval of L-s, the "chroma".

* [[Muddle]]s are subsets of MOS parent scales with the general shape of a smaller (and possibly unrelated) MOS scale.

* [[MOS Cradle]] is a technique of embedding MOS-like structures inside MOS scales and may or may not produce subsets of MOS scales.

* [[Operations on MOSes]]

== As applied to rhythms ==

MOS structures and thinking can be applied to the design of rhythms as well.

David Canright was the first to suggest Fibonacci Rhythms in 1/1. This led to Kraig Grady to be the first to apply MOS patterns to rhythms. Two papers on the subject can be found here:

* [http://anaphoria.com/hora.pdf A Rhythmic Application of the Horagrams] from Xenharmonikon 16

* [http://anaphoria.com/horo2.pdf More on Horogram Rhythms]

== Listen ==

This is an algorithmically generated recording of every MOS scale that has 14 or fewer notes for a total of 91 scales being showcased here. Each MOS scale played has its simplest step ratio (large step is 2 small step is 1) and therefore is inside the smallest EDO that can support it. Each MOS scale is also in its brightest mode. And rhythmically, each scale is being played with its respective MOS rhythm. Note that changing the mode or step ratio of any of these MOSes may dramatically alter the sound and therefore this recording is not thoroughly representative of each MOS but rather a small taste.

[[File:Every-MOS-Scale-With-14-Or-Fewer-Notes.mp3|left|800x800px]]

== 関連項目 ==

* [[Diamond-mos notation]], a microtonal notation system focussed on MOS scales

* [[Metallic MOS]], an article focusing on MOS scales based on metallic means, such as [[phi]]

* [[:Category:MOS scales|Category:MOS scales]], the category including all MOS-related articles on this wiki

* [[Gallery of MOS patterns]]

[[Category:MOS| ]]

@@ 49行目: / 49行目: @@
 * Strict MOSの場合、''a'' と ''b'' は互いに素である。''a'' と ''b'' の最大公約数が、等価音程内のピリオドの繰り返し数となる。
-=== Advanced discussion ===
+=== 高度な議論 ===
 See:
 * [[Mathematics of MOS]], a more formal definition and a discussion of the mathematical properties.
@@ 57行目: / 57行目: @@
 * [[MOS diagrams]], visualizations of the MOS process.
 * [http://x31eq.com/temper/method.html How to Find Linear Temperaments], by [[Graham Breed]]
+== 変種 ==
+* [[MODMOS scales]] are derived from chromatic alterations of one or more tones of an MOS scale, typically by the interval of L-s, the "chroma".
+* [[Muddle]]s are subsets of MOS parent scales with the general shape of a smaller (and possibly unrelated) MOS scale.
+* [[MOS Cradle]] is a technique of embedding MOS-like structures inside MOS scales and may or may not produce subsets of MOS scales.
+* [[Operations on MOSes]]
+== As applied to rhythms ==
+{{Main| MOS rhythm }}
+MOS structures and thinking can be applied to the design of rhythms as well.
+David Canright was the first to suggest Fibonacci Rhythms in 1/1. This led to Kraig Grady to be the first to apply MOS patterns to rhythms. Two papers on the subject can be found here:
+* [http://anaphoria.com/hora.pdf A Rhythmic Application of the Horagrams] from Xenharmonikon 16
+* [http://anaphoria.com/horo2.pdf More on Horogram Rhythms]
+== Listen ==
+This is an algorithmically generated recording of every MOS scale that has 14 or fewer notes for a total of 91 scales being showcased here. Each MOS scale played has its simplest step ratio (large step is 2 small step is 1) and therefore is inside the smallest EDO that can support it. Each MOS scale is also in its brightest mode. And rhythmically, each scale is being played with its respective MOS rhythm. Note that changing the mode or step ratio of any of these MOSes may dramatically alter the sound and therefore this recording is not thoroughly representative of each MOS but rather a small taste.
+[[File:Every-MOS-Scale-With-14-Or-Fewer-Notes.mp3|left|800x800px]]
+{{clear}}
+== 関連項目 ==
+* [[Diamond-mos notation]], a microtonal notation system focussed on MOS scales
+* [[Metallic MOS]], an article focusing on MOS scales based on metallic means, such as [[phi]]
+* [[:Category:MOS scales|Category:MOS scales]], the category including all MOS-related articles on this wiki
+* [[Gallery of MOS patterns]]
+[[Category:MOS| ]] <!-- main article -->
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