96/95: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Name = 19th-partial chroma
| Name = 19th-partial chroma
| Color name = nugu unison, 19ug1
| Color name = 19ug1, nugu 1sn,<br>Nugu comma
| Comma = yes
| Comma = yes
}}
}}


'''96/95''' is a [[19-limit]] [[superparticular]] interval of about 18.13{{cent}}. It is the difference between [[6/5]] and [[19/16]]. In [[Ben Johnston's notation]], 95/96 is the formal comma used to express 19-limit intervals, while the [[Functional Just System]] and [[Helmholtz-Ellis notation]] use [[513/512]] instead.
'''96/95''' is a [[small comma|small]] [[19-limit]] [[superparticular]] [[comma]] of about 18.13{{cent}}. It is the difference between [[6/5]] and [[19/16]], and between [[5/4]] and [[24/19]].
 
This interval is the 19th-partial chroma (19-limit formal comma) used to express 19-limit intervals in [[Ben Johnston's notation]], denoted with "{{invert|19}}" (a turned "19"), while its reciprocal is denoted with a plain "19". If the base note is C, then [[19/16]] is represented by C–Eb19. The [[Functional Just System]] and [[Helmholtz-Ellis notation]] use [[513/512]] as the formal comma instead.
 
It is also known as the [[Rootminor triad|rootminor]] comma, and when tempered out it equates the 16:19:24 otonal minor triad with the 10:12:15 utonal.
 
[[Category:Commas named systematically]]

Latest revision as of 11:14, 13 November 2024

Interval information
Ratio 96/95
Subgroup monzo 2.3.5.19 [5 1 -1 -1
Size in cents 18.12827¢
Name 19th-partial chroma
Color name 19ug1, nugu 1sn,
Nugu comma
FJS name [math]\displaystyle{ \text{P1}_{5,19} }[/math]
Special properties superparticular,
reduced
Tenney height (log2 nd) 13.1548
Weil height (log2 max(n, d)) 13.1699
Wilson height (sopfr(nd)) 37
Comma size small
S-expression S16 × S17 × S18
Open this interval in xen-calc

96/95 is a small 19-limit superparticular comma of about 18.13 ¢. It is the difference between 6/5 and 19/16, and between 5/4 and 24/19.

This interval is the 19th-partial chroma (19-limit formal comma) used to express 19-limit intervals in Ben Johnston's notation, denoted with "19" (a turned "19"), while its reciprocal is denoted with a plain "19". If the base note is C, then 19/16 is represented by C–Eb19. The Functional Just System and Helmholtz-Ellis notation use 513/512 as the formal comma instead.

It is also known as the rootminor comma, and when tempered out it equates the 16:19:24 otonal minor triad with the 10:12:15 utonal.