189/187: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Ratio = 189/187
| Ratio = 189/187
| Name = chouten comma
| Comma = yes
| Comma = yes
}}
}}
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This comma is the difference between [[21/11]] and [[17/9]], or [[11/9]] and [[21/17]],  etc.
This comma is the difference between [[21/11]] and [[17/9]], or [[11/9]] and [[21/17]],  etc.
{{stub}}
==Commatic relations==
This comma is the sum of the following comma combinations:
 
* [[144/143]] and [[273/272]]
* [[126/125]] and [[375/374]]
* [[120/119]] and [[441/440]]
* [[105/104]] and [[936/935]]
* [[100/99]] and [[1701/1700]]
* [[343/342]] and [[210/209]]
 
also the difference between following comma pairs:
 
* [[56/55]] and [[136/135]]
* [[81/80]] and [[561/560]]
* [[91/90]] and [[2431/2430]]
==Temperament==
Tempering out this comma in the 3.7.11.17 [[subgroup]] leads to the rank-3 '''chouten temperament'''.
===Chouten===
[[rank]]: 3
 
subgroup: 3.7.11.17
 
[[comma basis]]: [ 3 1 -1 -1] 189/187
 
[[edt]]s: 5, 22, 17, 12, 27, 26, 7, 9, 48, 31, 21, 6[+17], 53, 43, 16
 
edt join: 5 & 22 & 48
 
[[mapping]]: [⟨1 1 2 2], ⟨0 1 0 1], ⟨0 0 1 -1]]
 
[[preimage]]: 3, 7/3, 11/9
 
[[WE tuning]]: 1899.601, 1466.758, 355.824
 
[[CWE tuning]]: 1901.955, 1466.397, 355.180
 
WE errors: -2.354, -2.467, 3.709, 5.181
 
CWE errors: 0.000, -0.473, 7.772, 10.172
 
[[badness]](sintel): 0.056
 
all the [[patent val]]s(edo): 2 7 8 10 12 14 16 24 26 28 29 31 33 34 36 40 41 43 50 55 57 60 64 65 67 69 81 88 91 93 98 100 110 117 122 134
==Etymology==
Chouten is the abbreviation for '''chouzetsusaikawa tenshi-chan''' which is a fictional character from the game '''needy streamer overload'''. This name was humorously proposed in 2023 within a small online community at first, and has been introduced to serve as a optional naming for this comma.
 
[[Category:Commas named after mythology or literature]]

Revision as of 01:27, 26 October 2025

Interval information
Ratio 189/187
Factorization 33 × 7 × 11-1 × 17-1
Monzo [0 3 0 1 -1 0 -1⟩
Size in cents 18.41756¢
Name chouten comma
FJS name [math]\displaystyle{ \text{A1}^{7}_{11,17} }[/math]
Special properties reduced
Tenney norm (log2 nd) 15.1091
Weil norm (log2 max(n, d)) 15.1245
Wilson norm (sopfr(nd)) 44
Comma size small
Open this interval in xen-calc

189/187, is a 17-limit or 3.7.11.17-subgroup comma of about 18.42 cents.

This comma is the difference between 21/11 and 17/9, or 11/9 and 21/17, etc.

Commatic relations

This comma is the sum of the following comma combinations:

also the difference between following comma pairs:

Temperament

Tempering out this comma in the 3.7.11.17 subgroup leads to the rank-3 chouten temperament.

Chouten

rank: 3

subgroup: 3.7.11.17

comma basis: [ 3 1 -1 -1] 189/187

edts: 5, 22, 17, 12, 27, 26, 7, 9, 48, 31, 21, 6[+17], 53, 43, 16

edt join: 5 & 22 & 48

mapping: [⟨1 1 2 2], ⟨0 1 0 1], ⟨0 0 1 -1]]

preimage: 3, 7/3, 11/9

WE tuning: 1899.601, 1466.758, 355.824

CWE tuning: 1901.955, 1466.397, 355.180

WE errors: -2.354, -2.467, 3.709, 5.181

CWE errors: 0.000, -0.473, 7.772, 10.172

badness(sintel): 0.056

all the patent vals(edo): 2 7 8 10 12 14 16 24 26 28 29 31 33 34 36 40 41 43 50 55 57 60 64 65 67 69 81 88 91 93 98 100 110 117 122 134

Etymology

Chouten is the abbreviation for chouzetsusaikawa tenshi-chan which is a fictional character from the game needy streamer overload. This name was humorously proposed in 2023 within a small online community at first, and has been introduced to serve as a optional naming for this comma.

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