3125/3087: Difference between revisions

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{{Infobox Interval

| Name = BP ~~major~~ diesis D

| Name = Gariboh comma, major BP diesis

| Color name = r<sup>3</sup>y<sup>5</sup>-3, triru-aquinyo negative 3rd

| 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 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 ''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.

[[Category:~~Intervals~~]]

[[Category:~~Bohlen-Pierce~~]]

== Temperaments ==

[[Category:~~7-limit~~]]

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 ==

[[Category:Gariboh]]

[[Category:Bohlen–Pierce]]

[[Category:Commas named after composers]]

[[Category:Commas named after music theorists]]

[[Category:Commas named by combining multiple temperament names]]

@@ Line 1: / Line 1: @@
 {{Infobox Interval
-| Name = BP major diesis D
+| Name = Gariboh comma, major BP diesis
+| Color name = r<sup>3</sup>y<sup>5</sup>-3, triru-aquinyo negative 3rd
 | 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 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 ''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.
-[[Category:Intervals]]
-[[Category:Bohlen-Pierce]]
+== Temperaments ==
-[[Category:7-limit]]
+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]]