3125/3087: Difference between revisions
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'''3125/3087''', the '''gariboh comma''', also known as the ''major [[Bohlen-Pierce scale|BP]] diesis'', is a [[small comma|small]] [[7-limit]] [[comma]] measuring about 21.2{{cent}}. It is the amount by which a stack of two [[25/21]]'s exceeds [[7/5]]. | '''3125/3087''', the '''gariboh comma''', also known as the ''major [[Bohlen-Pierce scale|BP]] diesis'', is a [[small comma|small]] [[7-limit]] [[comma]] measuring about 21.2{{cent}}. It is the amount by which a stack of two [[25/21]]'s exceeds [[7/5]], or the amount by which a stack of three [[7/5]]s exceeds two [[5/3]]s. | ||
== Temperaments == | == Temperaments == | ||
Tempering out this comma in the 7-limit leads to the rank-3 [[gariboh]] temperament. See [[Gariboh family]] for the rank-3 temperament family where it is tempered out. See [[Gariboh clan]] for the rank-2 temperament clan where it is tempered out, | Tempering out this comma in the 7-limit leads to the rank-3 [[gariboh]] temperament. See [[Gariboh family]] for the rank-3 temperament family where it is tempered out. See [[Gariboh clan]] for the rank-2 temperament clan where it is tempered out, headed by 3.5.7 [[sirius]] temperament. Additionally, it can be tempered out in the 2.5/3.7/3 fractional subgroup, leading to [[gariberttet]]. | ||
== Etymology == | == Etymology == | ||
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== Notes == | == Notes == | ||
<references /> | |||
[[Category:Gariboh]] | [[Category:Gariboh]] | ||
[[Category: | [[Category:Bohlen–Pierce]] | ||
[[Category:Commas named after composers]] | [[Category:Commas named after composers]] | ||
[[Category:Commas named after music theorists]] | [[Category:Commas named after music theorists]] | ||
[[Category:Commas named by combining multiple temperament names]] | [[Category:Commas named by combining multiple temperament names]] | ||
Latest revision as of 13:01, 10 March 2025
| Interval information |
major BP diesis
3125/3087, the gariboh comma, also known as the major BP diesis, is a small 7-limit comma measuring about 21.2 ¢. It is the amount by which a stack of two 25/21's exceeds 7/5, or the amount by which a stack of three 7/5s exceeds two 5/3s.
Temperaments
Tempering out this comma in the 7-limit leads to the rank-3 gariboh temperament. See Gariboh family for the rank-3 temperament family where it is tempered out. See Gariboh clan for the rank-2 temperament clan where it is tempered out, headed by 3.5.7 sirius temperament. Additionally, it can be tempered out in the 2.5/3.7/3 fractional subgroup, leading to gariberttet.
Etymology
The name gariboh was given by Gene Ward Smith in 2005. It is a contraction of garibaldi and bohpier, the latter itself being a contraction of Bohlen-Pierce[1].
The name major BP diesis was given on the relevant portion of the Huygens-Fokker website[2].