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ABACABA JI scales: Difference between revisions

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Lhearne (talk | contribs)
autopatrolled, emailconfirmed
1,636 edits
Lhearne (talk | contribs)
autopatrolled, emailconfirmed
1,636 edits
got rid of scales where A*A was above the limit, i.e., where odd-limit of A was above the root of the described odd limit of the scales for the section
Line 1,686: Line 1,686:
|1/1 27/26 13/12 9/8 4/3 18/13 13/9 3/2
|1/1 27/26 13/12 9/8 4/3 18/13 13/9 3/2
|243
|243
|-
|33/32 (~53.27c)
|128/121 (~97.36c)
|1/1 33/32 12/11 9/8 4/3 11/8 16/11 3/2
|363
|-
|-
|25/24 (~70.67c)
|25/24 (~70.67c)
Line 1,696: Line 1,691:
|1/1 25/24 27/25 9/8 4/3 25/18 36/25 3/2
|1/1 25/24 27/25 9/8 4/3 25/18 36/25 3/2
|625
|625
|-
|45/44 (~38.91c)
|242/225 (~126.10c)
|1/1 45/44 11/10 9/8 4/3 15/11 22/15 3/2
|675
|}
|}


Line 1,781: Line 1,771:
|1/1 15/14 11/10 33/28 14/11 15/11 7/5 3/2
|1/1 15/14 11/10 33/28 14/11 15/11 7/5 3/2
|363
|363
|-
|33/32 (~53.27c)
|256/231 (~177.90c)
|1/1 33/32 8/7 33/28 14/11 21/16 16/11 3/2
|363
|}
=== Tetrachord to 13/12 -> C = 216/169 (~424.81c) ===
{| class="wikitable"
|+
!A
!B
!Scale
!odd-limit of scale intervals
|-
|39/38 (~44.97c)
|361/351 (~48.63c)
|1/1 39/38 19/18 13/12 18/13 27/19 19/13 3/2
|507
|}
=== Tetrachord to 21/19 -> C = 361/294 (~355.42c) ===
{| class="wikitable"
|+
!A
!B
!Scale
!odd-limit of scale intervals
|-
|39/38 (~44.97c)
|532/507 (~83.33c)
|1/1 39/38 14/13 21/19 19/14 39/28 19/13 3/2
|507
|}
|}


Line 1,870: Line 1,827:
|1/1 25/24 12/11 25/22 33/25 11/8 36/25 3/2
|1/1 25/24 12/11 25/22 33/25 11/8 36/25 3/2
|625
|625
|-
|45/44 (~38.91c)
|88/81 (~143.50c)
|1/1 45/44 10/9 25/22 33/25 27/20 22/15 3/2
|675
|}
|}


Line 1,902: Line 1,854:
|512/495 (~58.46c)
|512/495 (~58.46c)
|1/1 33/32 16/15 11/10 15/11 45/32 16/11 3/2
|1/1 33/32 16/15 11/10 15/11 45/32 16/11 3/2
|675
|}
=== Tetrachord to 12/11 -> C = 121/96 (~400.68c) ===
{| class="wikitable"
|+
!A
!B
!Scale
!odd-limit of scale intervals
|-
|45/44 (~38.91c)
|704/675 (~72.83c)
|1/1 45/44 16/15 12/11 11/8 45/32 22/15 3/2
|675
|675
|}
|}
Line 1,929: Line 1,867:
|15/14 (~119.44c)
|15/14 (~119.44c)
|98/95 (~53.83c)
|98/95 (~53.83c)
|1/1 15/14 21/19 45/38 19/15 19/14 7/5 3/2
|1/1 15/14 21/19 45/38 19/15 19/14 7/5 3/2
|675
|-
|39/38 (~44.97c)
|190/169 (~202.77c)
|1/1 39/38 15/13 45/38 19/15 13/10 19/13 3/2
|675
|675
|}
|}
Line 1,960: Line 1,893:
|}
|}


=== Tetrachord to 12/11 -> C = 121/108 (~196.77c)===
=== Tetrachord to 10/9 -> C = 27/25 (~133.24c)===
{| class="wikitable"
|+
!A
!B
!Scale
!odd-limit of scale intervals
|-
|34/33 (~51.68c)
|297/289 (~47.27c)
|1/1 34/33 18/17 12/11 34/27 22/17 4/3
|363
|}
 
=== Tetrachord to 17/15 -> C = 300/289 (~64.67c)  ===
{| class="wikitable"
|+
!A
!B
!Scale
!odd-limit of scale intervals
|-
|34/33 (~51.68c)
|363/340 (113.32c)
|1/1 34/33 11/10 17/15 20/17 40/33 22/17 4/3
|363
|}
 
=== Tetrachord to 10/9 -> C = 27/25 (~133.24c) ===
{| class="wikitable"
{| class="wikitable"
|+
|+
Line 1,995: Line 1,900:
!Scale
!Scale
!odd-limit of scale intervals
!odd-limit of scale intervals
|-
|40/39 (~43.83c)
|169/160 (~94.74c)
|1/1 40/39 13/12 10/9 6/5 16/13 13/10 4/3
|507
|-
|-
|25/24 (~70.67c)
|25/24 (~70.67c)
Line 2,023: Line 1,923:
|147/143 (~47.76c)
|147/143 (~47.76c)
|1/1 22/21 14/13 44/39 13/11 26/21 14/11 4/3
|1/1 22/21 14/13 44/39 13/11 26/21 14/11 4/3
|507
|-
|40/39 (~43.83c)
|429/400 (~121.17c)
|1/1 40/39 11/10 44/39 13/11 40/33 13/10 4/3
|507
|507
|}
|}
Line 2,043: Line 1,938:
|1/1 24/23 13/12 26/23 46/39 16/13 23/18 4/3
|1/1 24/23 13/12 26/23 46/39 16/13 23/18 4/3
|529
|529
|}
=== Tetrachord to 16/15 -> C = 75/64 (~274.58c) ===
{| class="wikitable"
|+
!A
!B
!Scale
!odd-limit of scale intervals
|-
|40/39 (~43.83c)
|507/500 (~24.07c)
|1/1 40/39 26/25 16/15 5/4 50/39 13/10 4/3
|625
|}
|}


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