153/152: Difference between revisions

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'''153/152''', the '''Ganassi's comma''' or '''ganassisma''', is a [[19-limit]] [[superparticular]] comma. It is the amount by which [[19/17]] falls short of [[9/8]].
'''153/152''', the '''Ganassi's comma''' or '''ganassisma''', is a [[19-limit]] [[superparticular]] comma. It is the amount by which [[19/17]] falls short of [[9/8]].
== Temperaments ==
If the comma is tempered out in 2.3.19/17, it leads to the '''little ganassi''' temperament, and if this is extended to the full prime subgroup 2.3.17.19, it leads to the '''ganassi''' temperament.
[[Category:Commas named after individuals]]
{{todo|add etymology}}

Latest revision as of 06:34, 16 March 2025

Interval information
Ratio 153/152
Subgroup monzo 2.3.17.19 [-3 2 1 -1
Size in cents 11.3524¢
Name ganassisma
Color name 19u17o1, nuso 1sn,
Nuso comma
FJS name [math]\displaystyle{ \text{P1}^{17}_{19} }[/math]
Special properties superparticular,
reduced
Tenney height (log2 nd) 14.5053
Weil height (log2 max(n, d)) 14.5148
Wilson height (sopfr(nd)) 48
Comma size small
S-expression S17 × S18
Open this interval in xen-calc

153/152, the Ganassi's comma or ganassisma, is a 19-limit superparticular comma. It is the amount by which 19/17 falls short of 9/8.

Temperaments

If the comma is tempered out in 2.3.19/17, it leads to the little ganassi temperament, and if this is extended to the full prime subgroup 2.3.17.19, it leads to the ganassi temperament.