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Pinetone: Difference between revisions

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1,636 edits
m →Intervals and chords: table formatting
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!Occurence
!Occurence
|-
|-
!1-step
! rowspan="3" |1-step
|s
|s
M
L
|major step
|major step
minor step
major step
| minor step
| minor step
major step
major step
|minor step
|minor step
minor-major step
major step
|25/24, 33/32, 27/26
|25/24, 33/32, 27/26
27/25, 12/11, 13/12
10/9, 11/10
|66.766
|66.766
142.775
175.892
|1
|1
3
4
|-
|-
!2-step
|M
|minor step
|major step
|minor-major step
|27/25, 12/11, 13/12
|142.775
|3
|-
|L
|major step
|major step
|major step
|10/9, 11/10
|175.892
|4
|-
! rowspan="4" |2-step
|M + s
|M + s
L + s
L + M
L + L
|minor 2-step
|minor 2-step
major 2-step
minor 2-step
major 2-step
|minor 2-step
|minor 2-step
minor 2-step
major 2-step
major 2-step
|small 2-step
|small 2-step
minor 2-step
major 2-step
large 2-step
|9/8
|9/8
15/13 (7/6 or 8/7)
6/5
11/9, 16/13
|209.542
|209.542
242.658
318.667
351.784
| 1
| 1
1
5
1
|-
|-
!3-step
|L + s
|major 2-step
|minor 2-step
|minor 2-step
|15/13 (7/6 or 8/7)
|242.658
|1
|-
|L + M
|minor 2-step
|major 2-step
|major 2-step
|6/5
|318.667
|5
|-
|L + L
|major 2-step
|major 2-step
|large 2-step
|11/9, 16/13
|351.784
|1
|-
! rowspan="3" |3-step
|L + M + s
|L + M + s
L + 2M
2L + M
|major 3-step
|major 3-step
minor 3-step
major 3-step
|minor 3-step
|minor 3-step
major 3-step
major 3-step
|minor 3-step
|minor 3-step
minor-major 3-step
major 3-step
|5/4
|5/4
13/10 (9/7 or 21/16)
4/3
|385.433
|385.433
461.433
494.559
|3
|3
1
4
|-
|-
!4-step
|L + 2M
|minor 3-step
|major 3-step
|minor-major 3-step
|13/10 (9/7 or 21/16)
|461.433
|1
|-
|2L + M
|major 3-step
|major 3-step
|major 3-step
|4/3
|494.559
|4
|-
! rowspan="4" |4-step
|L + 2M + s
|L + 2M + s
2L + M + s
2L + 2M
3L + M
|minor 4-step
|minor 4-step
major 4-step
minor 4-step
major 4-step
|minor 4-step
|minor 4-step
minor 4-step
major 4-step
major 4-step
|small 4-step
|small 4-step
minor 4-step
major 4-step
large 4-step
|27/20, 15/11
|27/20, 15/11
25/18, 11/8, 18/13
36/25, 16/11, 13/9
40/27, 22/15
|528.209
|528.209
561.325
637.334
670.451
|2
|2
2
2
2
|-
|-
!5-step
|2L + M + s
|major 4-step
|minor 4-step
|minor 4-step
|25/18, 11/8, 18/13
|561.325
|2
|-
|2L + 2M
|minor 4-step
|major 4-step
|major 4-step
|36/25, 16/11, 13/9
|637.334
|2
|-
|3L + M
|major 4-step
|major 4-step
|large 4-step
|40/27, 22/15
|670.451
|2
|-
! rowspan="3" |5-step
|2L + 2M + s
|2L + 2M + s
3L + M + s
3L + 2M
|minor 5-step
|minor 5-step
major 5-step
minor 5-step
|minor 5-step
|minor 5-step
minor 5-step
major 5-step
| minor 5-step
| minor 5-step
major-minor 5-step
major 5-step
|3/2
|3/2
20/13 (14/9 or 32/16)
8/5
|704.101
|704.101
737.217
813.227
|4
|4
1
3
|-
|-
!6-step
|3L + M + s
|major 5-step
|minor 5-step
|major-minor 5-step
|20/13 (14/9 or 32/16)
|737.217
|1
|-
|3L + 2M
|minor 5-step
|major 5-step
|major 5-step
|8/5
|813.227
|3
|-
! rowspan="4" |6-step
|2L + 3M + s
|2L + 3M + s
3L + 2M + s
3L + 3M
4L + 2M
|minor 6-step
|minor 6-step
major 6-step
minor 6-step
major 6-step
|minor 6-step
|minor 6-step
minor 6-step
major 6-step
major 6-step
|small 6-step
|small 6-step
minor 6-step
major 6-step
large 6-step
|18/11, 13/8
|18/11, 13/8
5/3
26/15 (12/7 or 7/4)
16/9
|846.876
|846.876
879.992
956.002
989.118
|1
|1
5
1
1
|-
|-
!7-step
|3L + 2M + s
|major 6-step
|minor 6-step
|minor 6-step
|5/3
|879.992
|5
|-
|3L + 3M
|minor 6-step
|major 6-step
|major 6-step
|26/15 (12/7 or 7/4)
|956.002
|1
|-
|4L + 2M
|major 6-step
|major 6-step
|large 6-step
|16/9
|989.118
|1
|-
! rowspan="3" |7-step
|3L + 3M + s
|3L + 3M + s
4L + 2M + s
4L + 3M
| minor 7-step
| minor 7-step
major 7-step
minor 7-step
|minor 7-step
|minor 7-step
minor 7-step
major 7-step
|minor 7-step
|minor 7-step
major-minor 7-step
major 7-step
|9/5, 20/11
|9/5, 20/11
50/27, 11/6, 24/13
48/25, 64/33, 52/27
| 1022.768
| 1022.768
1055.884
1131.983
|4
|4
3
|-
 
|4L + 2M + s
1
|major 7-step
|minor 7-step
|major-minor 7-step
|50/27, 11/6, 24/13
|1055.884
|3
|-
|4L + 3M
|minor 7-step
|major 7-step
|major 7-step
|48/25, 64/33, 52/27
|1131.983
|1
|}
|}
<nowiki>*</nowiki> Non-bracketed JI ratios are those approximated in 2.3.5.11.13 ptolemismic Pinetone; bracketed JI ratios are shows in pairs: the first interval in each pair is the 2.3.7 interval approximated by additionally tempering out 91/90 or 126/125 (Starling); the second is the 2.3.7 interval approximated by additionally tempering out 105/104 or 245/243 (Supermagic).
<nowiki>*</nowiki> Non-bracketed JI ratios are those approximated in 2.3.5.11.13 ptolemismic Pinetone; bracketed JI ratios are shows in pairs: the first interval in each pair is the 2.3.7 interval approximated by additionally tempering out 91/90 or 126/125 (Starling); the second is the 2.3.7 interval approximated by additionally tempering out 105/104 or 245/243 (Supermagic).
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