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BudjarnLambeth (talk | contribs)
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BudjarnLambeth (talk | contribs)
autopatrolled, emailconfirmed
18,215 edits
Make detailed manual table of intervals
Line 92: Line 92:
* 9/7.10/2.12/2.20/7.23/14.24/7.29/7.31/7.33/7 subgroup '''(14th-prime)'''
* 9/7.10/2.12/2.20/7.23/14.24/7.29/7.31/7.33/7 subgroup '''(14th-prime)'''
* 7/4.9/4.10/2.12/2.13/4.17/16.19/8.49/16 subgroup '''(16th-prime)'''
* 7/4.9/4.10/2.12/2.13/4.17/16.19/8.49/16 subgroup '''(16th-prime)'''
* 10/2.12/2.11/3.16/15.17/15.21/10.22/5.23/15.25/6.28/15 subgroup '''(30th-prime)'''
* 10/2.12/2.11/3.16/15.17/15.21/10.22/5.23/15.25/6.28/15 subgroup '''(30th-prime:''' 5th, third & half''')'''
* 7/4.9/4.10/2.12/2.11/3.13/9.19/9.25/6.31/9.35/9 subgroup '''(36th-prime)'''
* 7/4.9/4.10/2.12/2.11/3.13/9.19/9.25/6.31/9.35/9 subgroup '''(36th-prime:''' 9th & quarter''')'''
* 10/2.11/3.12/2.13/9.16/15.17/15.19/9.21/10.22/5.23/15.25/6.28/15.31/9.35/9 subgroup '''(90th-prime)'''
* 7/4.9/4.10/2.12/2.13/4.18/17.28/17 subgroup '''(68th-prime:''' 17th & quarter''')'''
* 7/4.9/4.10/2.12/2.13/4.14/11.15/11.16/11.17/11.18/11.19/8.23/11.28/11 subgroup '''(88th-prime:''' 11th & 8th''')'''
* 10/2.11/3.12/2.13/9.16/15.17/15.19/9.21/10.22/5.23/15.25/6.28/15.31/9.35/9 subgroup '''(90th-prime:''' 9th, 5th & quarter''')'''
* 7/4.9/4.9/7.10/2.12/2.13/4.17/16.19/8.20/7.23/14.24/7.29/7.31/7.33/7.49/16 subgroup '''(112th-prime:''' 16th & 14th''')'''
* 6/5.10/2.12/2.21/10.22/5.24/13.27/10.29/13.39/10 subgroup '''(130th-prime:''' 13th & 5th & half''')'''


== Intervals ==  
== Intervals ==
# 107.2 (18/17, 17/16, 16/15)
{| class="wikitable mw-collapsible"
# 214.3 (17/15)
|+
# 321.5 (6/5, 23/19)
Intervals of 26ed5
# 428.7 (14/11, 9/7)
! rowspan="2" |Step
# 535.8 (19/14, 15/11)
! rowspan="2" |Cents
# 643.0 (13/9, 16/11)
! colspan="7" |Just intonation approximation
# 750.2 (23/15, 17/11)
|-
# 857.3 (18/11, 23/14, 28/17)
!68th-prime
# 964.5 (7/4)
!88th-prime
# 1071.7 (24/13, 13/7, 28/15)
!90th-prime
# 1178.8 (49/25)
!112th-prime
# 1286.0 (23/11, 21/10, 19/9)
!130th-prime
# 1393.2 (29/13, 9/4)
!Integer ( 5.6.12.22.32... as above)
# 1500.3 (19/8)
!Integer (simplified)
# 1607.5 (28/11)
|-
# 1714.7 (27/10)
!1
# 1821.8 (20/7)
!107.2
# 1929.0 (49/16)
|18/17
# 2036.2 (13/4)
|
# 2143.3 (24/7, 31/9)
| 16/15
# 2250.5 (11/3)
|17/16
# 2357.7 (35/9, 39/10)
|
# 2464.8 (29/7, 25/6)
| 36/34, 34/32
# 2572.0 (22/5, 31/7)
|18/17, 17/16
# 2679.1 (33/7)
|-
# 2786.3 (5/1)
! 2
!214.3
|
|
|17/15
|
|
|
|
|-
!3
!321.5
|
|
|6/5
|
|6/5
|6/5
|6/5
|-
!4
! 428.7
|
| 14/11
|
|9/7
|
| 63/49
| 9/7
|-
! 5
!535.8
|
|15/11
|
|19/14
|
|
|
|-
!6
!643.0
|
|16/11
|13/9
|
|
|32/22
|16/11
|-
!7
!750.2
|
|17/11
|23/15
|
|
|34/22
|17/11
|-
!8
!857.3
|28/17
|18/11
|
|23/14
|
|
|
|-
!9
!964.5
|7/4
|7/4
|
|7/4
|
|56/32
|7/4
|-
!10
!1071.7
|
|
|28/15
|13/7
|24/13
|
|
|-
!11
!1178.8
|
|
|49/25
|
|
|49/25
|49/25
|-
!12
!1286.0
|
|23/11
|21/10, 19/9
|
|21/10
|46/22
|23/11
|-
!13
!1393.2
|9/4
|9/4
|
|9/4
|29/13
|
|
|-
!14
!1500.3
|
|19/8
|
|19/8
|
|
|
|-
!15
!1607.5
|
|28/11
|
|
|
|56/22
|28/11
|-
!16
!1714.7
|
|
|27/10
|
|27/10
|
|
|-
!17
!1821.8
|
|
|
|20/7
|
|
|
|-
!18
!1929.0
|
|
|
|49/16
|
|
|
|-
!19
!2036.2
|13/4
|13/4
|
|13/4
|
|
|
|-
!20
!2143.3
|
|
|31/9
|24/7
|
|
|
|-
!21
!2250.5
|
|
|11/3
|
|
|22/6
|11/3
|-
!22
!2357.7
|
|
|35/9, 39/10
|
|39/10
|
|
|-
!23
!2464.8
|
|
|25/6
|29/7
|
|25/6
|25/6
|-
!24
!2572.0
|
|
|22/5
|31/7
|22/5
|22/5
|22/5
|-
!25
!2679.1
|
|
|
|33/7
|
|
|
|-
!26
!2786.3
|5/1
|5/1
|5/1
|5/1
|5/1
|5/1
|
|}


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