Alpharabian comma: Difference between revisions
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The '''Alpharabian comma''' | {{Infobox Interval | ||
| JI glyph = | |||
| Ratio = 131769/131072 | |||
| Monzo = -17 2 0 0 4 | |||
| Cents = 9.18177 | |||
| Name = Alpharabian comma | |||
| Color name = | |||
| FJS name = | |||
| Sound = | |||
}} | |||
The '''Alpharabian comma''' is the [[11-limit]] interval '''131769/131072''' measuring about 9.2[[¢]]. It is the amount by which a stack of two [[128/121]] diatonic semitones falls short of a [[9/8]] whole tone. The term "Alpharabian" comes from Alpharabius – another name for Al-Farabi – and was chosen due to the fact that [[33/32]], also known as the the Al-Farabi Quartertone, is the primary limma of the 11-limit, a fact which lends itself to the idea of just 11-limit tuning being called "Alpharabian tuning" in the same way that just 3-limit tuning is called "Pythagorean tuning". Given that the Alpharabian comma and the Pythagorean comma are similar in that both commas represent the difference between two of their respective p-limit's primary diatonic semitones and a 9/8 whole tone, it follows that tempering out the Alpharabian comma results in a member of the '''Alpharabian family'''. | |||
== See also == | |||
* [[Small comma]] | |||
[[Category:11-limit]] | [[Category:11-limit]] | ||
[[Category:Small comma]] | [[Category:Small comma]] | ||
[[Category:Alpharabian]] | [[Category:Alpharabian]] | ||
Revision as of 09:55, 1 December 2020
| Interval information |
reduced harmonic
The Alpharabian comma is the 11-limit interval 131769/131072 measuring about 9.2¢. It is the amount by which a stack of two 128/121 diatonic semitones falls short of a 9/8 whole tone. The term "Alpharabian" comes from Alpharabius – another name for Al-Farabi – and was chosen due to the fact that 33/32, also known as the the Al-Farabi Quartertone, is the primary limma of the 11-limit, a fact which lends itself to the idea of just 11-limit tuning being called "Alpharabian tuning" in the same way that just 3-limit tuning is called "Pythagorean tuning". Given that the Alpharabian comma and the Pythagorean comma are similar in that both commas represent the difference between two of their respective p-limit's primary diatonic semitones and a 9/8 whole tone, it follows that tempering out the Alpharabian comma results in a member of the Alpharabian family.