User:Moremajorthanmajor/9L 4s (7/2-equivalent): Difference between revisions
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== Notation == | == Notation == | ||
Because shōsūshī is a Mahjong hand, its MOS has 13 tones, as in the 13 tiles in a Mahjong hand and its “13 | Because shōsūshī is a Mahjong hand, its MOS has 13 tones, as in the 13 tiles in a Mahjong hand and its “13 han” Japanese value. Thus the nominals are given as Japanese kana, and to avoid confusion with traditional Japanese notations, hiragana are used. | ||
The notation used in this article is く す つ ぬ ふ む ゆ き し ち に ひ み = LLsLLLsLLsLLs (Ionian b14), #/b mostly two chromas up/down. | |||
Thus the [[22edXIV]] gamut is as follows: | |||
'''く/み#''' か/そ '''す''' さ/と '''つ/の ぬ/た''' な/ほ '''ふ''' は/も '''む''' ま/よ ゆ/け '''き/や き#/せ''' '''し''' し#/て '''ち/ね''' '''ち#/に''' に#/へ '''ひ''' ひ#/め '''み/け''' | |||
The [[31edXIV]] gamut is notated as follows: | |||
'''く''' み#/そ か '''す''' と さ/の '''つ''' '''ぬ''' た/ほ な '''ふ''' も は '''む''' よ ま/け '''ゆ き''' や/せ き# '''し''' て し#/ね '''ち に''' ち#/へ に# '''ひ''' め ひ#/け '''み''' | |||
The [[35edXIV]] gamut: | |||
'''く''' か/そb そ/か# '''す''' さ/とb と/さ# '''つ/のb''' た/の '''ぬ/た#''' な/ほb ほ/な# '''ふ''' は/もb も/は# '''む''' よ/けb け/よ# '''ゆ/やb''' や/ま '''き/ま#''' き#/せb せ '''し''' し#/てb て '''ち/ねb''' ち#/ね '''に''' に#/へb へ '''ひ''' ひ#/めb め '''み/けb''' み#/け | |||
Revision as of 01:28, 15 July 2022
Shōsūshī - so named because of the four small steps in its diatonic MOS - is an excellent 8*-limit temperament tempering out 64/63 or an excellent 9 (18)-limit temperament tempering out 81/80.
Properties
In shōsūshī, the just major 21st (15/2) is divided into 7 equal steps. These steps form quartal harmonies (1-4/3-7/4-7/3…). Alternately, the ‘perfect eleventh’ 8/3 also makes a good shōsūshī generator. Compatible equal temperaments include 22edXIV; 31edXIV, 40edXIV and 49edXIV (7-ward) and 35edXIV, 48edXIV and 61edXIV (9-ward).
Notation
Because shōsūshī is a Mahjong hand, its MOS has 13 tones, as in the 13 tiles in a Mahjong hand and its “13 han” Japanese value. Thus the nominals are given as Japanese kana, and to avoid confusion with traditional Japanese notations, hiragana are used.
The notation used in this article is く す つ ぬ ふ む ゆ き し ち に ひ み = LLsLLLsLLsLLs (Ionian b14), #/b mostly two chromas up/down.
Thus the 22edXIV gamut is as follows:
く/み# か/そ す さ/と つ/の ぬ/た な/ほ ふ は/も む ま/よ ゆ/け き/や き#/せ し し#/て ち/ね ち#/に に#/へ ひ ひ#/め み/け
The 31edXIV gamut is notated as follows:
く み#/そ か す と さ/の つ ぬ た/ほ な ふ も は む よ ま/け ゆ き や/せ き# し て し#/ね ち に ち#/へ に# ひ め ひ#/け み
The 35edXIV gamut:
く か/そb そ/か# す さ/とb と/さ# つ/のb た/の ぬ/た# な/ほb ほ/な# ふ は/もb も/は# む よ/けb け/よ# ゆ/やb や/ま き/ま# き#/せb せ し し#/てb て ち/ねb ち#/ね に に#/へb へ ひ ひ#/めb め み/けb み#/け