Sparkisma: Difference between revisions

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Clarify the names according to a discussion on Discord
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The '''sparkisma''', with a ratio of '''14400/14399''', is an [[unnoticeable comma|unnoticeable]] [[17-limit]] [[superparticular]] [[comma]] that separates the lynchisma ([[120/119]]) and the biyatisma ([[121/120]]), as well as the amount by which a stack consisting of [[7/4]], [[121/64]] and [[17/16]] falls short of [[225/128]], the Neapolitan augmented sixth, upon [[octave reduction]]. Tempering this out creates a form of [[spark microtemperament]].
The '''sparkisma''', with a ratio of '''14400/14399''', is an [[unnoticeable comma|unnoticeable]] [[17-limit]] [[superparticular]] [[comma]] that separates the lynchisma ([[120/119]]) and the biyatisma ([[121/120]]), as well as the amount by which a stack consisting of [[7/4]], [[121/64]] and [[17/16]] falls short of [[225/128]], the Neapolitan augmented sixth, upon [[octave reduction]]. Tempering this out in the full 17-limit results in the '''sparkismic temperament''', or in the 2.3.5.7.11.17 subgroup, the '''spark temperament'''.  


== See also ==
== See also ==
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[[Category:Unnoticeable commas]]
[[Category:Unnoticeable commas]]
[[Category:Superparticular]]
[[Category:Superparticular]]
[[Category:Spark]]
[[Category:Sparkismic]]

Revision as of 00:51, 12 July 2022

Interval information
Ratio 14400/14399
Factorization 26 × 32 × 52 × 7-1 × 11-2 × 17-1
Monzo [6 2 2 -1 -2 0 -1
Size in cents 0.1202288¢
Name sparkisma
Color name Sululuruyoyo comma
FJS name [math]\displaystyle{ \text{dd}{-2}^{5,5}_{7,11,11,17} }[/math]
Special properties square superparticular,
reduced
Tenney height (log2 nd) 27.6275
Weil height (log2 max(n, d)) 27.6276
Wilson height (sopfr(nd)) 74
Open this interval in xen-calc

The sparkisma, with a ratio of 14400/14399, is an unnoticeable 17-limit superparticular comma that separates the lynchisma (120/119) and the biyatisma (121/120), as well as the amount by which a stack consisting of 7/4, 121/64 and 17/16 falls short of 225/128, the Neapolitan augmented sixth, upon octave reduction. Tempering this out in the full 17-limit results in the sparkismic temperament, or in the 2.3.5.7.11.17 subgroup, the spark temperament.

See also