ABACABA JI scales: Difference between revisions

Lhearne (talk | contribs)
Lhearne (talk | contribs)
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=== Tetrachord to 7/6 -> C = 54/49 (~168.21c) ===
=== Tetrachord to 9/8 -> C = 32/27 (~294.13c) ===
{| class="wikitable"
{| class="wikitable"
|+
|+
Line 1,678: Line 1,678:
|-
|-
|21/20 (~84.47c)
|21/20 (~84.47c)
|200/189 (~97.94c)
|50/49 (~34.98c)
|1/1 21/20 10/9 7/6 9/7 27/20 10/7 3/2
|1/1 21/20 15/14 9/8 4/3 7/5 10/7 2/1
|147
|-
|27/26 (~65.34c)
|169/162 (~73.24c)
|1/1 27/26 13/12 9/8 4/3 18/13 13/9 3/2
|243
|243
|-
|-
|19/18 (~93.60c)
|33/32 (~53.27c)
|378/361 (~79.65c)
|128/121 (~97.36c)
|1/1 19/18 21/19 7/6 9/7 19/14 27/19 3/2
|1/1 33/32 12/11 9/8 4/3 11/8 16/11 3/2
|361
|363
|-
|25/24 (~70.67c)
|648/625 (~62.57c)
|1/1 25/24 27/25 9/8 4/3 25/18 36/25 3/2
|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
|}
|}


=== Tetrachord to 9/8 -> C = 32/27 (~294.13c) ===
=== Tetrachord to 7/6 -> C = 54/49 (~168.21c) ===
{| class="wikitable"
{| class="wikitable"
|+
|+
Line 1,696: Line 1,711:
!odd-limit of scale intervals
!odd-limit of scale intervals
|-
|-
|27/26 (~65.34c)
|21/20 (~84.47c)
|169/162 (~73.24c)
|200/189 (~97.94c)
|1/1 27/26 13/12 9/8 4/3 18/13 13/9 3/2
|1/1 21/20 10/9 7/6 9/7 27/20 10/7 3/2
|243
|243
|-
|-
|25/24 (~70.67c)
|19/18 (~93.60c)
|648/625 (~62.57c)
|378/361 (~79.65c)
|1/1 25/24 27/25 9/8 4/3 25/18 36/25 3/2
|1/1 19/18 21/19 7/6 9/7 19/14 27/19 3/2
|625
|361
|}
|}


Line 1,752: Line 1,767:
|1/1 19/18 9/8 19/16 24/19 4/3 27/19 3/2
|1/1 19/18 9/8 19/16 24/19 4/3 27/19 3/2
|361
|361
|}
=== Tetrachord to 33/28 -> C = 392/363 (~133.06c) ===
{| class="wikitable"
|+
!A
!B
!Scale
!odd-limit of scale intervals
|-
|15/14 (~119.44c)
|77/75 (~45.56c)
|1/1 15/14 11/10 33/28 14/11 15/11 7/5 3/2
|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
|}
|}


Line 1,765: Line 1,799:
|361/351 (~48.63c)
|361/351 (~48.63c)
|1/1 39/38 19/18 13/12 18/13 27/19 19/13 3/2
|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
|}
=== Tetrachord to 39/34 -> C = 578/507 (~226.90c) ===
{| class="wikitable"
|+
!A
!B
!Scale
!odd-limit of scale intervals
|-
|18/17 (~98.95c)
|221/216 (~39.62c)
|1/1 18/17 13/12 39/34 17/13 18/13 17/12 3/2
|507
|507
|}
|}
Line 1,808: Line 1,870:
|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
|}
=== Tetrachord to 10/9 -> C = 243/200 (~337.15c) ===
{| class="wikitable"
|+
!A
!B
!Scale
!odd-limit of scale intervals
|-
|25/24 (~70.67c)
|128/125 (~41.06c)
|1/1 25/24 16/15 10/9 27/20 45/32 36/25 3/2
|675
|}
|}


Line 1,835: Line 1,916:
|704/675 (~72.83c)
|704/675 (~72.83c)
|1/1 45/44 16/15 12/11 11/8 45/32 22/15 3/2
|1/1 45/44 16/15 12/11 11/8 45/32 22/15 3/2
|675
|}
== Tetrachord to 45/38 -> C = 722/675 (~116.53c) ===
{| class="wikitable"
|+
!A
!B
!Scale
!odd-limit of scale intervals
|-
|15/14 (~119.44c)
|98/95 (~53.83c)
|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
|}
|}