Quinticular comma: Difference between revisions
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Created page with "{{Infobox interval |Ratio = 1419857/1417176 |Name = quinticular comma |Color name = s17o<sup>5</sup>4, saquinso 4th |Comma = yes }} '''1419857/1417176''', the '''quinticular comma''' is a 2.3.17 subgroup comma that is the difference between five 18/17s and one 4/3. It is tempered out in following EDOs: * 12''n'' family (up to 120) * 12''n''+1 family (between 109 and 337) == Etymology == The word ''quinticular'' was introduced by Xenllium..." Tags: Mobile edit Mobile web edit |
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The '''quinticular comma''' is a 2.3.17 [[subgroup]] comma of measuring 3.27 [[cent]]s, with frequency ratio of 1419857/1417176. It forms the difference between five semitones of [[18/17]] and a perfect fourth, [[4/3]]. | |||
* 12''n'' family | |||
* 12''n''+1 family | == Temperaments == | ||
Tempering out this comma in the 2.3.17 subgroup leads to the '''quinticular temperament''', which is related to a number of [[Cluster MOS|cluster temperaments]], such as [[quintaleap]], [[quindromeda]], and [[quintaschis]]. | |||
This comma is tempered out in following EDOs: | |||
* 12''n'' family: [[12edo|12]], [[24edo|24]], [[36edo|36]], [[48edo|48]], [[60edo|60]], [[72edo|72]], [[84edo|84]], [[96edo|96]], [[108edo|108]], [[120edo|120]], 2772, 2784 | |||
* 12''n''+1 family: between [[109edo|109]] and [[337edo|337]] | |||
* 12''n''+2 family: between 326 and 554 | |||
* 12''n''+3 family: between 555 and 783 | |||
* 12''n''+4 family: between 772 and 1000 | |||
* 12''n''+5 family: between 1001 and 1229 | |||
* 12''n''+6 family: between 1230 and 1446 | |||
* 12''n''+7 family: between 1495 and 1663 | |||
* 12''n''+8 family: between 1748 and 1892 | |||
* 12''n''+9 family: between 2001 and 2109 | |||
* 12''n''+10 family: between 2254 and 2338 | |||
* 12''n''+11 family: between 2507 and 2555 | |||
== Etymology == | == Etymology == | ||
Revision as of 09:12, 20 May 2025
| Interval information |
The quinticular comma is a 2.3.17 subgroup comma of measuring 3.27 cents, with frequency ratio of 1419857/1417176. It forms the difference between five semitones of 18/17 and a perfect fourth, 4/3.
Temperaments
Tempering out this comma in the 2.3.17 subgroup leads to the quinticular temperament, which is related to a number of cluster temperaments, such as quintaleap, quindromeda, and quintaschis.
This comma is tempered out in following EDOs:
- 12n family: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 2772, 2784
- 12n+1 family: between 109 and 337
- 12n+2 family: between 326 and 554
- 12n+3 family: between 555 and 783
- 12n+4 family: between 772 and 1000
- 12n+5 family: between 1001 and 1229
- 12n+6 family: between 1230 and 1446
- 12n+7 family: between 1495 and 1663
- 12n+8 family: between 1748 and 1892
- 12n+9 family: between 2001 and 2109
- 12n+10 family: between 2254 and 2338
- 12n+11 family: between 2507 and 2555
Etymology
The word quinticular was introduced by Xenllium in 2025.