1029/1024: Difference between revisions
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'''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 | '''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]]. | ||
== See also == | == See also == |
Revision as of 01:30, 25 December 2023
Interval information |
gamelan residue
Latrizo comma
reduced harmonic
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 8/7s 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 quark.
See also
- Gamelismic family, the rank-3 family where it is tempered out
- Gamelismic clan, the rank-2 clan where it is tempered out
- Slendric pentad