171/170: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Name = Nosugu comma
| Name = malcolmisma
| Color name = 19o17ug1, nosugu 1sn
| Color name = 19o17ug1, nosugu 1sn
| Comma = yes
| Comma = yes
}}
}}


'''171/170''' is a [[19-limit]] [[superparticular]] comma. It is the amount by which [[19/17]] exceeds [[10/9]].
'''171/170''', the '''malcolmisma''', is a [[19-limit]] [[superparticular]] comma. It is the amount by which [[19/17]] exceeds [[10/9]].
 
== Etymology ==
The name ''malcolmisma'' was named after [[Wikipedia:Alexander Malcolm (writer on music)|Alexander Malcolm]] by [[User:Xenllium|Xenllium]] in 2023.


== See also ==
== See also ==
* [[Small comma]]
* [[Small comma]]
* [[List of superparticular intervals]]
* [[List of superparticular intervals]]

Revision as of 00:04, 15 August 2023

Interval information
Ratio 171/170
Factorization 2-1 × 32 × 5-1 × 17-1 × 19
Monzo [-1 2 -1 0 0 0 -1 1
Size in cents 10.15389¢
Name malcolmisma
Color name 19o17ug1, nosugu 1sn
FJS name [math]\displaystyle{ \text{P1}^{19}_{5,17} }[/math]
Special properties superparticular,
reduced
Tenney norm (log2 nd) 14.8272
Weil norm (log2 max(n, d)) 14.8357
Wilson norm (sopfr(nd)) 49
Comma size small
S-expression S18⋅S19
Open this interval in xen-calc

171/170, the malcolmisma, is a 19-limit superparticular comma. It is the amount by which 19/17 exceeds 10/9.

Etymology

The name malcolmisma was named after Alexander Malcolm by Xenllium in 2023.

See also