Bohpier: Difference between revisions

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'''Bohpier ~~temperament~~''' is a rank-~~two~~ temperament ~~for 7~~, 11, and 13 [[~~Harmonic limit~~|~~prime limits~~]]. It is a member of [[~~Sensamagic~~ clan|sensamagic]], [[~~Gariboh~~ clan|gariboh]], [[~~Arcturus~~ clan|arcturus]], and [[~~Mirkwai~~ clan|mirkwai]] ~~temperaments~~, and tempers out 100/99, 144/143, 196/195, and 275/273 ~~in the 13-limit, as well as the [[245/243|sensamagic comma]] (245/243) and the gariboh comma (3125/3087)~~. ~~It is strongly related to the [[Bohlen–Pierce]] scale, and from this it derives its name. Generator~~ for ~~the~~ bohpier ~~can be used either~~ [[13edt]], [[19ed5]], or [[23ed7]]. [[41edo]] ~~is an excellent tuning for the bohpier~~, with generator 5\41~~, and MOS~~ of 8, 9, 17, 25, or 33 notes are available.

'''Bohpier''' is a [[rank-2 temperament|rank-2]] [[regular temperament|temperament]] which can be described as the [[Bohlen–Pierce]] scale with [[2/1|octaves]]. From this strong relation it derives its name. In this temperament, like in Bohlen–Pierce, 13 generator steps give the [[3/1|3rd harmonic]], 19 give the [[5/1|5th harmonic]], and 23 give the [[7/1|7th harmonic]], [[tempering out]] the sensamagic comma ([[245/243]]) and the gariboh comma ([[3125/3087]]). The only difference is the addition of the [[period]] of an octave.

It is a member of [[sensamagic clan|sensamagic]], [[gariboh clan|gariboh]], [[arcturus clan|arcturus]], and [[mirkwai clan|mirkwai]] [[temperament families and clans|clans]], and the [[extension]] to the 13-limit tempers out 100/99, 144/143, 196/195, and 275/273.

Possible generators for bohpier include [[13edt|1\13edt]], [[19ed5|1\19ed5]], and [[23ed7|1\23ed7]]. Another excellent tuning for the temperament is [[41edo]], with generator 5\41. [[Mos scale]]s of 8, 9, 17, 25, or 33 notes are available.

== Temperament data ==

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-'''Bohpier temperament''' is a rank-two temperament for 7, 11, and 13 [[Harmonic limit|prime limits]]. It is a member of [[Sensamagic clan|sensamagic]], [[Gariboh clan|gariboh]], [[Arcturus clan|arcturus]], and [[Mirkwai clan|mirkwai]] temperaments, and tempers out 100/99, 144/143, 196/195, and 275/273 in the 13-limit, as well as the [[245/243|sensamagic comma]] (245/243) and the gariboh comma (3125/3087). It is strongly related to the [[Bohlen–Pierce]] scale, and from this it derives its name. Generator for the bohpier can be used either [[13edt]], [[19ed5]], or [[23ed7]]. [[41edo]] is an excellent tuning for the bohpier, with generator 5\41, and MOS of 8, 9, 17, 25, or 33 notes are available.
+'''Bohpier''' is a [[rank-2 temperament|rank-2]] [[regular temperament|temperament]] which can be described as the [[Bohlen–Pierce]] scale with [[2/1|octaves]]. From this strong relation it derives its name. In this temperament, like in Bohlen–Pierce, 13 generator steps give the [[3/1|3rd harmonic]], 19 give the [[5/1|5th harmonic]], and 23 give the [[7/1|7th harmonic]], [[tempering out]] the sensamagic comma ([[245/243]]) and the gariboh comma ([[3125/3087]]). The only difference is the addition of the [[period]] of an octave.
+It is a member of [[sensamagic clan|sensamagic]], [[gariboh clan|gariboh]], [[arcturus clan|arcturus]], and [[mirkwai clan|mirkwai]] [[temperament families and clans|clans]], and the [[extension]] to the 13-limit tempers out 100/99, 144/143, 196/195, and 275/273.
+Possible generators for bohpier include [[13edt|1\13edt]], [[19ed5|1\19ed5]], and [[23ed7|1\23ed7]]. Another excellent tuning for the temperament is [[41edo]], with generator 5\41. [[Mos scale]]s of 8, 9, 17, 25, or 33 notes are available.
 == Temperament data ==