Alpharabian comma: Difference between revisions
m Xenwolf moved page Alpharabian Comma to Alpharabian comma: best lemma style for linking in text |
cats and links |
||
| Line 1: | Line 1: | ||
The '''Alpharabian comma''' (about 9.18177[[Cent|¢]]), is the interval '''131769/131072''' or {{Monzo| -17 2 0 0 4}} in [[monzo]] notation. 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 interval 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'''. | The '''Alpharabian comma''' (about 9.18177[[Cent|¢]]), is the interval '''131769/131072''' or {{Monzo| -17 2 0 0 4 }} in [[monzo]] notation. 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 interval 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'''. | ||
[[Category:11-limit]] | |||
[[Category:Small comma]] | |||
[[Category:Alpharabian]] | |||
Revision as of 13:00, 17 October 2020
The Alpharabian comma (about 9.18177¢), is the interval 131769/131072 or [-17 2 0 0 4⟩ in monzo notation. 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 interval 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.