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{{Infobox regtemp | |||
| Title = Bohpier | |||
| Subgroups = 2.3.5.7, 2.3.5.7.11, 2.3.5.7.11.13 | |||
| Comma basis = [[245/243]], [[3125/3087]] (7-limit); <br>[[100/99]], [[245/243]], [[1344/1331]] (11-limit; <br>[[100/99]], [[144/143]], [[196/195]], [[275/273]]<br>(13-limit) | |||
| Edo join 1 = 41 | Edo join 2 = 49f | |||
| Mapping = 1; 13 19 23 12 14 | |||
| Generators = 12/11 | |||
| Generators tuning = 146.5 | |||
| Optimization method = CWE | |||
| MOS scales = [[1L 7s]], [[8L 1s]], [[8L 9s]], [[8L 17s]] | |||
| Odd limit 1 = 9 | Mistuning 1 = 6.53 | Complexity 1 = 25 | |||
| Odd limit 2 = 13-limit 21 | Mistuning 2 = 12.5 | Complexity 2 = 41 | |||
}} | |||
'''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. | '''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 | 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. | 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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[[Category:Sensamagic clan]] | [[Category:Sensamagic clan]] | ||
[[Category:Gariboh clan]] | [[Category:Gariboh clan]] | ||
[[Category: | [[Category:Canopic clan]] | ||
[[Category:Bohlen–Pierce]] | [[Category:Bohlen–Pierce]] | ||