153/152: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| JI glyph =
| Name = Ganassi's comma, ganassisma
| Ratio = 153/152
| Color name = 19u17o1, nuso 1sn,<br>Nuso comma
| Monzo = -3 2 0 0 0 0 1 -1
| Comma = yes
| Cents = 11.35240
| Name = ganassisma
| Sound =
| Color name =  
| FJS name = P1<sup>17</sup><sub>19</sub>
}}
}}


'''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]].


[[Category:19-limit]]
== Temperaments ==
[[Category:Superparticular]]
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:Small commas]]
 
[[Category:Ratio]]
== 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]]

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