Morion: Difference between revisions
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1 step of [[72edo]]. | The '''morion''' (plural: '''moria''') is a [[unit of interval size]] equivalent to 1 step 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]]. | ||
[[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. | [[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 | 1 morion is exactly 170.5 [[prima]]s. | ||
[[Category:72edo]] | |||
[[Category:Interval size measures]] | |||
Latest revision as of 04:54, 5 July 2024
The morion (plural: moria) is a unit of interval size equivalent to 1 step 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.