1029/1024: Difference between revisions
Expansion |
m add slendric comma as it's known as this on other places on the xen wiki and is a clearer name in meaning |
||
| Line 1: | Line 1: | ||
{{Infobox Interval | {{Infobox Interval | ||
| Name = gamelisma, gamelan residue | | Name = slendric comma, gamelisma, gamelan residue | ||
| Color name = Lz<sup>3</sup>2, latrizo 2nd,<br>Latrizo comma | | Color name = Lz<sup>3</sup>2, latrizo 2nd,<br>Latrizo comma | ||
| Comma = yes | | Comma = yes | ||
}} | }} | ||
'''1029/1024''', the '''gamelisma''', is a [[7-limit]] (also 2.3.7 subgroup) [[small comma]] measuring about 8.4 cents. It is the amount by which a stack of three [[8/7]]s falls short of [[3/2]]. Tempering out this comma for the 2.3.7 subgroup leads to [[slendric]] temperament. In addition to the perfect fifth being split into three equal parts, the [[256/243|Pythagorean limma (256/243)]] is also split into three in the same way, one for [[64/63]]~[[49/48]] and two for [[28/27]]. It therefore provides the little interval known as [[quark]]. | '''1029/1024''', the '''slendric comma''' or '''gamelisma''', is a [[7-limit]] (also 2.3.7 subgroup) [[small comma]] measuring about 8.4 cents. It is the amount by which a stack of three [[8/7]]s falls short of [[3/2]]. Tempering out this comma for the 2.3.7 subgroup leads to [[slendric]] temperament. In addition to the perfect fifth being split into three equal parts, the [[256/243|Pythagorean limma (256/243)]] is also split into three in the same way, one for [[64/63]]~[[49/48]] and two for [[28/27]]. It therefore provides the little interval known as a [[quark]]. | ||
== Temperaments == | == Temperaments == | ||
Revision as of 23:08, 5 May 2024
| Interval information |
gamelisma,
gamelan residue
Latrizo comma
reduced harmonic
1029/1024, the slendric comma or gamelisma, is a 7-limit (also 2.3.7 subgroup) small comma measuring about 8.4 cents. It is the amount by which a stack of three 8/7s falls short of 3/2. Tempering out this comma for the 2.3.7 subgroup leads to slendric temperament. In addition to the perfect fifth being split into three equal parts, the Pythagorean limma (256/243) is also split into three in the same way, one for 64/63~49/48 and two for 28/27. It therefore provides the little interval known as a quark.
Temperaments
Tempering out this comma alone in the 7-limit leads to the rank-3 gamelismic temperament, or in the 2.3.7 subgroup, the rank-2 slendric temperament. Either case, it enables the slendric pentad. See Gamelismic family for the rank-3 family where it is tempered out. See Gamelismic clan for the rank-2 clan where it is tempered out.
Etymology
This comma was known as the gamelan residue no later than May 2001. It was allegedly named by Adriaan Fokker[1].