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Pinetone: Difference between revisions

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!Occurence
!Occurence
|-
|-
!1-step
! rowspan="3" |1-step
|s
|s
M
L
|minor step
|minor 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="2" |2-step
|L + s
|L + s
L + M
|perfect 2-step
|perfect 2-step
perfect 2-step
|minor 2-step
|minor 2-step
major 2-step
|minor 2-step
|minor 2-step
major 2-step
|15/13 (7/6 or 8/7)
|15/13 (7/6 or 8/7)
6/5
|242.658
|242.658
318.667
|2
|2
6
|-
|-
!3-step
|L + M
|perfect 2-step
|major 2-step
|major 2-step
|6/5
|318.667
|6
|-
! rowspan="4" |3-step
|L + M + s
|L + M + s
2L + s
L + 2M
2L + M
|minor 3-step
|minor 3-step
major 3-step
minor 3-step
major 3-step
|minor 3-step
|minor 3-step
minor 3-step
major 3-step
major 3-step
|minor 3-step
|minor 3-step
major-minor 3-step
minor-major 3-step
major 3-step
|5/4
|5/4
50/39
13/10 (9/7 or 21/16)
4/3
| 385.433
| 385.433
418.550
461.433
494.559
|2
|2
1
2
3
|-
|-
!4-step
|2L + s
|major 3-step
|minor 3-step
|major-minor 3-step
|50/39
|418.550
|1
|-
|L + 2M
|minor 3-step
|major 3-step
|minor-major 3-step
|13/10 (9/7 or 21/16)
|461.433
|2
|-
|2L + M
|major 3-step
|major 3-step
|major 3-step
|4/3
|494.559
|3
|-
! rowspan="2" |4-step
|2L + M + s
|2L + M + s
2L + 2M
|perfect 4-step
|perfect 4-step
perfect 4-step
|minor 4-step
|minor 4-step
major 4-step
|minor 4-step
|minor 4-step
major 4-step
|25/18, 11/8, 18/13
|25/18, 11/8, 18/13
36/25, 16/11, 13/9
| 561.325
| 561.325
637.334
|4
|4
4
|-
|-
! 5-step
|2L + 2M
|perfect 4-step
|major 4-step
|major 4-step
|36/25, 16/11, 13/9
|637.334
|4
|-
! rowspan="4" | 5-step
|2L + 2M + s
|2L + 2M + s
3L + M + s
2L + 3M
3L + 2M
|minor 5-step
|minor 5-step
major 5-step
minor 5-step
major 5-step
|minor 5-step
|minor 5-step
minor 5-step
major 5-step
major 5-step
|minor 5-step
|minor 5-step
major-minor 5-step
minor-major 5-step
major 5-step
|3/2
|3/2
20/13 (14/9 or 32/16)
39/25
8/5
|704.101
|704.101
737.217
780.120
813.227
| 3
| 3
2
1
2
|-
|-
! 6-step
|3L + M + s
|major 5-step
|minor 5-step
|major-minor 5-step
|20/13 (14/9 or 32/16)
|737.217
|2
|-
|2L + 3M
|minor 5-step
|major 5-step
|minor-major 5-step
|39/25
|780.120
|1
|-
|3L + 2M
|major 5-step
|major 5-step
|major 5-step
|8/5
|813.227
|2
|-
! rowspan="2" | 6-step
|3L + 2M + s
|3L + 2M + s
3L + 3M
|perfect 6-step
|perfect 6-step
perfect 6-step
|minor 6-step
|minor 6-step
major 6-step
|minor 6-step
|minor 6-step
major 6-step
|5/3
|5/3
26/15 (12/7 or 7/4)
|879.992
|879.992
956.002
|6
|6
2
|-
|-
!7-step
|3L + 3M
|perfect 6-step
|major 6-step
|major 6-step
|26/15 (12/7 or 7/4)
|956.002
|2
|-
! rowspan="3" |7-step
|3L + 3M + s
|3L + 3M + s
4L + 2M + s
4L + 3M
|minor 7-step
|minor 7-step
major 7-step
major 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
|major 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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