Morion: Difference between revisions

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'''Morion''' is an [[interval size measure]] equivalent to 1 degree of [[72edo]].
The '''morion''' is an [[interval size measure]] equivalent to 1 degree of [[72edo]].


6 moria make 1 degree of [[12edo]].
6 '''moria''' make 1 degree of [[12edo]].


[[72edo]] is useful as a fine-grain [[interval size measure]], particularly in barbershop harmony, wherein 1 , 2, and 3 moria represent 'small', 'medium' and 'large' adjustments from 12edo in microtuning of harmony parts to [[7-limit]] [[JI]]. 1 morion takes, for example, [[16/9]] to [[9/5]], via [[81/80]]; 2 moria takes, for example, [[16/9]] to [[7/4]], via [[64/63]]; and 3 moria takes, for example, [[9/5]] to [[7/4]], via [[36/35]].
[[72edo]] is useful as a fine-grain [[interval size measure]], particularly in barbershop harmony, wherein 1 , 2, and 3 moria represent 'small', 'medium' and 'large' adjustments from 12edo in microtuning of harmony parts to [[7-limit]] [[JI]]. 1 morion takes, for example, [[16/9]] to [[9/5]], via [[81/80]]; 2 moria takes, for example, [[16/9]] to [[7/4]], via [[64/63]]; and 3 moria takes, for example, [[9/5]] to [[7/4]], via [[36/35]].

Revision as of 17:38, 16 April 2021

The morion is an interval size measure equivalent to 1 degree of 72edo.

6 moria make 1 degree of 12edo.

72edo is useful as a fine-grain interval size measure, particularly in barbershop harmony, wherein 1 , 2, and 3 moria represent 'small', 'medium' and 'large' adjustments from 12edo in microtuning of harmony parts to 7-limit JI. 1 morion takes, for example, 16/9 to 9/5, via 81/80; 2 moria takes, for example, 16/9 to 7/4, via 64/63; and 3 moria takes, for example, 9/5 to 7/4, via 36/35.

72edo is also fantastic in the 11-limit, and provides a great framework for extending barbershop harmony to the 11-limit, where the large adjustment (3 moria) already familiar to harmony singers may also take, for example, 4/3 to 11/8, via 33/32, and the medium adjustment (2 moria) may also take, for example, 9/5 to 11/6, or 15/8 to 11/6, via 55/54 or 45/44 respectively.

1 morion is exactly 170.5 primas