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Line 9: Line 9:
| Step size = 38.710¢
| Step size = 38.710¢
| Fifth = 18\31 = 696.77¢
| Fifth = 18\31 = 696.77¢
| Major 2nd = 5\31 = 194¢
| Major 2nd = 5\31 = 193.5¢
| Minor 2nd = 3\31 = 116¢
| Semitones = 2:3
| Augmented 1sn = 2\31 = 77¢
| Consistency = 11
| Monotonicity = 17
}}
}}
{{Wikipedia| 31 equal temperament }}
{{Wikipedia| 31 equal temperament }}
Line 373: Line 374:
| downminor
| downminor
| zo
| zo
| [a b 0 1>
| {{monzo|a b 0 1}}
| 7/6, 7/4
| 7/6, 7/4
|-
|-
| rowspan="2" | minor
| rowspan="2" | minor
| fourthward wa
| fourthward wa
| [a b> where b < -1
| {{monzo|a b}} where b < -1
| 32/27, 16/9
| 32/27, 16/9
|-
|-
| gu
| gu
| [a b -1>
| {{monzo|a b -1}}
| 6/5, 9/5
| 6/5, 9/5
|-
|-
| rowspan="2" | mid
| rowspan="2" | mid
| ilo
| ilo
| [a b 0 0 1>
| {{monzo|a b 0 0 1}}
| 11/9, 11/6
| 11/9, 11/6
|-
|-
| lu
| lu
| [a b 0 0 -1>
| {{monzo|a b 0 0 -1}}
| 12/11, 18/11
| 12/11, 18/11
|-
|-
| rowspan="2" | major
| rowspan="2" | major
| yo
| yo
| [a b 1>
| {{monzo|a b 1}}
| 5/4, 5/3
| 5/4, 5/3
|-
|-
| fifthward wa
| fifthward wa
| [a b> where b > 1
| {{monzo|a b}} where b > 1
| 9/8, 27/16
| 9/8, 27/16
|-
|-
| upmajor
| upmajor
| ru
| ru
| [a b 0 -1>
| {{monzo|a b 0 -1}}
| 9/7, 12/7
| 9/7, 12/7
|}
|}
Line 414: Line 415:
! [[Kite's color notation|color of the 3rd]]
! [[Kite's color notation|color of the 3rd]]
! JI chord
! JI chord
! edosteps
! EDO-steps
! notes of C chord
! notes of C chord
! written name
! written name
Line 542: Line 543:
| ''[[13/11]], [[22/13]]''
| ''[[13/11]], [[22/13]]''
| ''18.242''
| ''18.242''
|}
{| class="wikitable center-all"
|+Patent val mapping
|-
! Interval, complement
! Error (abs, [[cent|¢]])
|-
| '''[[5/4]], [[8/5]]'''
| '''0.783'''
|-
| [[11/9]], [[18/11]]
| 0.979
|-
| '''[[8/7]], [[7/4]]'''
| '''1.084'''
|-
| [[7/5]], [[10/7]]
| 1.867
|-
| [[15/14]], [[28/15]]
| 3.314
|-
| [[7/6]], [[12/7]]
| 4.097
|-
| [[12/11]], [[11/6]]
| 4.202
|-
| [[16/15]], [[15/8]]
| 4.398
|-
| [[15/11]], [[22/15]]
| 4.985
|-
| '''[[4/3]], [[3/2]]'''
| '''5.181'''
|-
| [[6/5]], [[5/3]]
| 5.964
|-
| [[14/11]], [[11/7]]
| 8.298
|-
| [[9/7]], [[14/9]]
| 9.278
|-
| '''[[11/8]], [[16/11]]'''
| '''9.382'''
|-
| [[11/10]], [[20/11]]
| 10.166
|-
| [[13/10]], [[20/13]]
| 10.302
|-
| [[9/8]], [[16/9]]
| 10.362
|-
| '''[[16/13]], [[13/8]]'''
| '''11.085'''
|-
| [[10/9]], [[9/5]]
| 11.145
|-
| [[14/13]], [[13/7]]
| 12.169
|-
| [[15/13]], [[26/15]]
| 15.483
|-
| [[13/12]], [[24/13]]
| 16.266
|-
| ''[[13/11]], [[22/13]]''
| ''20.468''
|-
| ''[[18/13]], [[13/9]]''
| ''21.447''
|}
|}


Line 788: Line 710:
! rowspan="2" | [[Comma list]]
! rowspan="2" | [[Comma list]]
! rowspan="2" | [[Mapping]]
! rowspan="2" | [[Mapping]]
! rowspan="2" | Optimal<br>8ve stretch (¢)
! rowspan="2" | Optimal <br>8ve stretch (¢)
! colspan="2" | Tuning error
! colspan="2" | Tuning error
|-
|-
Line 1,034: Line 956:
| Loloruyoyo
| Loloruyoyo
| Lehmerisma
| Lehmerisma
|-
| 13
| [[105/104]]
| {{monzo| -3 1 1 1 0 -1 }}
| 16.567
| Thuzoyo
| Animist comma
|-
| 13
| [[144/143]]
| {{monzo| 4 2 0 0 -1 -1 }}
| 12.064
| Thulu
| Grossma
|-
| 13
| [[196/195]]
| {{monzo| 2 -1 -1 2 0 -1 }}
| 8.8554
| Thuzozogu
| Mynucuma
|}
|}
<references/>
<references/>
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