153/152: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Name = ganassisma
| Name = Ganassi's comma, ganassisma
| Color name = 19u17o1, nuso 1sn,<br>Nuso comma
| Color name = 19u17o1, nuso 1sn,<br>Nuso comma
| Comma = yes
| Comma = yes
}}
}}


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


== Temperaments ==
== 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.
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.
== Etymology ==
153/152 is named after {{w|Sylvestro Ganassi}}, who devised a well-temperament based in part on the consecutive integers 16:17:18:19, therefore making 19/17 span a whole tone just like 9/8 (18/16).
== External links ==
* [http://www.tonalsoft.com/enc/g/ganassi.aspx Ganassi's Well-temperament] on [[Tonalsoft Encyclopedia]]
[[Category:Commas named after individuals]]
[[Category:Commas named after individuals]]
{{todo|add etymology}}

Latest revision as of 03:36, 12 July 2026

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

153/152, Ganassi's comma or the 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.

Etymology

153/152 is named after Sylvestro Ganassi, who devised a well-temperament based in part on the consecutive integers 16:17:18:19, therefore making 19/17 span a whole tone just like 9/8 (18/16).

External links