3125/3087: Difference between revisions
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BP | {{Infobox Interval | ||
| Name = Gariboh comma, major BP diesis | |||
| Color name = r<sup>3</sup>y<sup>5</sup>-3, triru-aquinyo negative 3rd | |||
| Comma = yes | |||
}} | |||
'''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 == | |||
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''<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_12900.html Yahoo! Tuning Group | ''Seven limit comma names from pairs of temperament names'']</ref>. | |||
The name ''major BP diesis'' was given on the relevant portion of the Huygens-Fokker website<ref>[https://www.huygens-fokker.org/bpsite/names.html The Bohlen-Pierce Site | ''BP Names and Definitions'']</ref>. | |||
== Notes == | |||
<references /> | |||
[[Category:Gariboh]] | |||
[[Category:Bohlen–Pierce]] | |||
[[Category:Commas named after composers]] | |||
[[Category:Commas named after music theorists]] | |||
[[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].