User:Dummy index/Just odd intonation: Difference between revisions

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Created page with "Widening or narrowing P8 first. ==JO meantone== ===(3/2,5/4)=== 4*P5 = M3 + 2*P8 {| class="wikitable" ! Cents ! Interval ! Ratio |- | 0.0 | P1 | 1/1 |- | 193.157 | M2 | 9/8/(..."
 
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| 15/8/(81/80)^(3/4)
| 15/8/(81/80)^(3/4)
|-
|-
| 1210.753
| 1205.377
| P8
| P8
| 2*(81/80)^(1/4)
| 2*(81/80)^(1/4)
Line 86: Line 86:
===(3/1,5/4)===
===(3/1,5/4)===
4*P12 = M3 + 6*P8
4*P12 = M3 + 6*P8
{| class="wikitable"
! Cents
! Interval
! Ratio
|-
| 0.0
| P1
| 1/1
|-
| 193.157
| M2
| 9/8/(81/80)^(1/2)
|-
| 386.314
| M3
| 5/4
|-
| 505.214
| P4
| 4/3*(81/80)^(1/3)
|-
| 698.371
| P5
| 3/2/(81/80)^(1/6)
|-
| 891.527
| M6
| 5/3*(81/80)^(1/3)
|-
| 1084.684
| M7
| 15/8/(81/80)^(1/6)
|-
| 1203.584
| P8
| 2*(81/80)^(1/6)
|}


==JO 7-limit meantone==
==JO 7-limit meantone==


==JO schismatic==
==JO schismatic==

Revision as of 14:57, 13 October 2021

Widening or narrowing P8 first.

JO meantone

(3/2,5/4)

4*P5 = M3 + 2*P8

Cents Interval Ratio
0.0 P1 1/1
193.157 M2 9/8/(81/80)^(1/2)
386.314 M3 5/4
508.798 P4 4/3*(81/80)^(1/2)
701.955 P5 3/2
895.112 M6 5/3*(81/80)^(1/2)
1088.269 M7 15/8
1210.753 P8 2*(81/80)^(1/2)


(3/1,5/1)

4*P12 = M17 + 2*P8

Cents Interval Ratio
0.0 P1 1/1
187.780 M2 9/8/(81/80)^(3/4)
375.561 M3 5/4/(81/80)^(1/2)
508.798 P4 4/3*(81/80)^(1/2)
696.578 P5 3/2/(81/80)^(1/4)
884.359 M6 5/3
1072.139 M7 15/8/(81/80)^(3/4)
1205.377 P8 2*(81/80)^(1/4)


(3/1,5/4)

4*P12 = M3 + 6*P8

Cents Interval Ratio
0.0 P1 1/1
193.157 M2 9/8/(81/80)^(1/2)
386.314 M3 5/4
505.214 P4 4/3*(81/80)^(1/3)
698.371 P5 3/2/(81/80)^(1/6)
891.527 M6 5/3*(81/80)^(1/3)
1084.684 M7 15/8/(81/80)^(1/6)
1203.584 P8 2*(81/80)^(1/6)


JO 7-limit meantone

JO schismatic