1029/1024: Difference between revisions

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Created page with "{{Infobox Interval | JI glyph = | Ratio = 1029/1024 | Monzo = -10 1 0 3 | Cents = 8.4327 | Name = gamelisma, gamelan residue | Sound = | Color name = z<sup>3</sup>2, trizo 2..."
 
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'''1029/1024''', the '''gamelisma''', is the amount by which three [[8/7]]s fall short of one [[3/2]]. Tempering out this comma leads to [[slendric]] temperament.
'''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 that the perfect fifth is split into three equal parts, the [[256/243|Pythagorean limma (256/243)]] is also so split, one for [[64/63]]~[[49/48]] and two for [[28/27]]. It therefore provides the little interval known as [[quark]].
 
== See also ==
* [[Gamelismic family]]
* [[Gamelismic clan]]
* [[Small comma]]


[[Category:7-limit]]
[[Category:7-limit]]
[[Category:Interval]]
[[Category:Interval]]
[[Category:Small comma]]
[[Category:Small comma]]
[[Category:Gamelismic]]

Revision as of 06:49, 25 January 2021

Interval information
Ratio 1029/1024
Factorization 2-10 × 3 × 73
Monzo [-10 1 0 3
Size in cents 8.43272¢
Names gamelisma,
gamelan residue
Color name z32, trizo 2nd
FJS name [math]\displaystyle{ \text{m2}^{7,7,7} }[/math]
Special properties reduced,
reduced harmonic
Tenney norm (log2 nd) 20.007
Weil norm (log2 max(n, d)) 20.0141
Wilson norm (sopfr(nd)) 44
Open this interval in xen-calc

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 that the perfect fifth is split into three equal parts, the Pythagorean limma (256/243) is also so split, one for 64/63~49/48 and two for 28/27. It therefore provides the little interval known as quark.

See also