Bohpier: Difference between revisions

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'''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]]. The [[extension]] to the [[13-limit]] sees more involvement of the octave, with 14 steps giving the interval class of [[11/1|11]] and 12 steps giving the interval class of [[13/1|13]], tempering out [[100/99]], [[144/143]], [[196/195]], and [[275/273]].

It is a member of [[sensamagic clan|sensamagic]], [[gariboh clan|gariboh]], [[arcturus clan|arcturus]], and [[mirkwai clan|mirkwai]] [[temperament families and clans|clans]]. The [[extension]] to the [[13-limit]] sees more involvement of the octave, with 12 steps giving the interval class of [[11/1|11]] and 14 steps giving the interval class of [[13/1|13]], tempering 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.

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 '''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]]. The [[extension]] to the [[13-limit]] sees more involvement of the octave, with 14 steps giving the interval class of [[11/1|11]] and 12 steps giving the interval class of [[13/1|13]], tempering out [[100/99]], [[144/143]], [[196/195]], and [[275/273]].
+It is a member of [[sensamagic clan|sensamagic]], [[gariboh clan|gariboh]], [[arcturus clan|arcturus]], and [[mirkwai clan|mirkwai]] [[temperament families and clans|clans]]. The [[extension]] to the [[13-limit]] sees more involvement of the octave, with 12 steps giving the interval class of [[11/1|11]] and 14 steps giving the interval class of [[13/1|13]], tempering 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.