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 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 [[Bohlen-Pierce]] scale, and from this it derives its name. Generator for the bohpier can be used either [[13edt|13ED3]], [[19ed5|19ED5]], or [[23ed7|23ED7]]. [[41edo|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 temperament''' is a rank-two temperament for 7, 11, and 13 [[Harmonic limit|prime limits]]. It 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 [[Bohlen-Pierce]] scale, and from this it derives its name. Generator for the bohpier can be used either [[13edt|13ED3]], [[19ed5|19ED5]], or [[23ed7|23ED7]]. [[41edo|41EDO]] is an excellent tuning for the bohpier, with generator 5\41, and MOS of 8, 9, 17, 25, or 33 notes are available.

See [[Sensamagic clan #Bohpier]] for more technical data.

== ~~Interval~~ ==

== Intervals ==

Bohpier is considered as a [[cluster temperament]] with eight clusters of notes in an octave. The chroma interval between adjacent notes in each cluster represents 40/39 ~ 50/49 ~ 55/54 ~ 56/55 ~ 66/65 ~ 78/77 all tempered together.

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! Ratios

|-

~~| text-align:"center"~~ | 1

| 1

| 17

| 92.25

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|}

== ~~Scale~~ ==

== Scales ==

* [[Bohpier8]]

* [[Bohpier8]] - [[1L 7s]] scale

* [[Bohpier9]]

* [[Bohpier9]] - [[8L 1s]] scale

* [[Bohpier17]]

* [[Bohpier17]] - [[8L 9s]] scale

* [[Bohpier25]]

* [[Bohpier25]] - [[8L 17s]] scale

* [[Bohpier33]]

* [[Bohpier33]] - [[8L 25s]] scale

[[Category:Temperaments]]

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-'''Bohpier temperament''' is a rank-two temperament for 7, 11, and 13 [[Harmonic limit|prime limits]]. It 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 [[Bohlen-Pierce]] scale, and from this it derives its name. Generator for the bohpier can be used either [[13edt|13ED3]], [[19ed5|19ED5]], or [[23ed7|23ED7]]. [[41edo|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 temperament''' is a rank-two temperament for 7, 11, and 13 [[Harmonic limit|prime limits]]. It 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 [[Bohlen-Pierce]] scale, and from this it derives its name. Generator for the bohpier can be used either [[13edt|13ED3]], [[19ed5|19ED5]], or [[23ed7|23ED7]]. [[41edo|41EDO]] is an excellent tuning for the bohpier, with generator 5\41, and MOS of 8, 9, 17, 25, or 33 notes are available.
 See [[Sensamagic clan #Bohpier]] for more technical data.
-== Interval ==
+== Intervals ==
 Bohpier is considered as a [[cluster temperament]] with eight clusters of notes in an octave. The chroma interval between adjacent notes in each cluster represents 40/39 ~ 50/49 ~ 55/54 ~ 56/55 ~ 66/65 ~ 78/77 all tempered together.
@@ Line 34: / Line 34: @@
 ! Ratios
 |-
-| text-align:"center" | 1
+| 1
 | 17
 | 92.25
@@ Line 280: / Line 280: @@
 |}
-== Scale ==
+== Scales ==
-* [[Bohpier8]]
+* [[Bohpier8]] - [[1L 7s]] scale
-* [[Bohpier9]]
+* [[Bohpier9]] - [[8L 1s]] scale
-* [[Bohpier17]]
+* [[Bohpier17]] - [[8L 9s]] scale
-* [[Bohpier25]]
+* [[Bohpier25]] - [[8L 17s]] scale
-* [[Bohpier33]]
+* [[Bohpier33]] - [[8L 25s]] scale
 [[Category:Temperaments]]