3125/3087: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Name = BP major diesis D
| Name = Gariboh comma, BP major diesis
| Color name = r<sup>3</sup>y<sup>5</sup>-3, triru-aquinyo negative 3rd
| Color name = r<sup>3</sup>y<sup>5</sup>-3, triru-aquinyo negative 3rd
| Comma = yes
| Comma = yes
}}
}}


The [[Bohlen-Pierce scale|Bohlen-Pierce]] "major diesis D", the [[ratio]] 3125/3087. It is [[monzo]] [-2, 5, -3> for primes <3 5 7>. It is approximately 21.181 [[Cent|cents]] wide. More information is available at [https://www.huygens-fokker.org/bpsite/names.html www.huygens-fokker.org/bpsite/names.html].
'''3125/3087''', the '''gariboh comma''', also known as the ''[[Bohlen-Pierce scale|BP]] major diesis'', is a [[small comma|small]] [[7-limit]] [[comma]] measuring about 21.2{{cent}}.
 
== 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.  
 
== 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 ''BP major diesis'' was given in <ref>[https://www.huygens-fokker.org/bpsite/names.html The Bohlen-Pierce Site | ''BP Names and Definitions'']</ref>.
 
== Notes ==
 
[[Category:Bohlen-Pierce]]
[[Category:Bohlen-Pierce]]
[[Category:7-limit]]
[[Category:7-limit]]

Revision as of 11:13, 2 January 2024

Interval information
Ratio 3125/3087
Factorization 3-2 × 55 × 7-3
Monzo [0 -2 5 -3
Size in cents 21.18085¢
Names Gariboh comma,
BP major diesis
Color name r3y5-3, triru-aquinyo negative 3rd
FJS name [math]\displaystyle{ \text{ddd}{-3}^{5,5,5,5,5}_{7,7,7} }[/math]
Special properties reduced
Tenney height (log2 nd) 23.2016
Weil height (log2 max(n, d)) 23.2193
Wilson height (sopfr(nd)) 52
Comma size small
Open this interval in xen-calc

3125/3087, the gariboh comma, also known as the BP major diesis, is a small 7-limit comma measuring about 21.2 ¢.

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.

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 BP major diesis was given in [2].

Notes