ABACABA JI scales: Difference between revisions

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Line 1,432: Line 1,432:
|23/22
|23/22
|550/529
|550/529
|1/1 23/22 25/23 25/22 44/24 46/25 44/23 2/1
|1/1 23/22 25/23 25/22 44/25 46/25 44/23 2/1
|625
|625
|}
|}
Line 1,686: Line 1,686:
|1/1 19/18 21/19 7/6 9/7 19/14 27/19 3/2
|1/1 19/18 21/19 7/6 9/7 19/14 27/19 3/2
|361
|361
|-
|28/27 (~62.96c)
|243/224 (~140.95c)
|1/1 28/27 9/8 7/6 9/7 16/9 27/14 3/2
|729
|}
|}


=== Tetrachord to 9/8 -> C = 32/27 ===
=== Tetrachord to 9/8 -> C = 32/27 (~294.13c) ===
{| class="wikitable"
{| class="wikitable"
|+
|+
Line 1,701: Line 1,696:
!odd-limit of scale intervals
!odd-limit of scale intervals
|-
|-
|27/26
|27/26 (~65.34c)
|169/162
|169/162 (~73.24c)
|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
|351
|243
|-
|-
|25/24
|25/24 (~70.67c)
|648/625
|648/625 (~62.57c)
|1/1 25/24 27/25 9/8 4/3 25/18 3/2  36/25 3/2
|1/1 25/24 27/25 9/8 4/3 25/18 36/25 3/2
|625
|625
|}
|}


=== Tetrachord to 15/13 -> C = ===
=== Tetrachord to 15/13 -> C = 169/150 (~206.47c) ===
{| class="wikitable"
{| class="wikitable"
|+
|+
Line 1,720: Line 1,715:
!odd-limit of scale intervals
!odd-limit of scale intervals
|-
|-
|27/26
|27/26 (~65.34c)
|260/243
|260/243 (~117.07c)
|1/1 27/26 10/9 15/13 39/30 27/20 13/9 3/2
|1/1 27/26 10/9 15/13 39/30 27/20 13/9 3/2
|351
|243
|}
 
=== Tetrachord to 17/14 -> C = 294/289 (~29.70c) ===
{| class="wikitable"
|+
!A
!B
!Scale
!odd-limit of scale intervals
|-
|17/16 (~104.96c)
|128/117 (~115.56c)
|1/1 17/16 8/7 17/14 28/17 21/16 24/17 3/2
|289
|-
|15/14 (~119.44c)
|238/225 (~97.24c)
|1/1 15/14 17/15 17/14 28/17 45/34 7/5 3/2
|675
|}
 
=== Tetrachord to 19/16 -> C = 384/361 (~106.93c) ===
{| class="wikitable"
|+
!A
!B
!Scale
!odd-limit of scale intervals
|-
|19/18 (~93.60c)
|81/76 (~110.31c)
|1/1 19/18 9/8 19/16 24/19 4/3 27/19 3/2
|361
|}
 
=== Tetrachord to 23/20 -> C = 600/529 (~218.03c) ===
{| class="wikitable"
|+
!A
!B
!Scale
!odd-limit of scale intervals
|-
|23/22 (~76.96c)
|121/115 (~88.05c)
|1/1 23/22 11/10 23/20 30/23 15/11 33/23 3/2
|529
|}
 
=== Tetrachord to 27/23 -> C = 529/486 (~146.77c) ===
{| class="wikitable"
|+
!A
!B
!Scale
!odd-limit of scale intervals
|-
|24/23 (~73.68c)
|69/64 (~130.23c)
|1/1 24/23 9/8 27/23 23/18 4/3 23/16 3/2
|529
|}
 
=== Tetrachord to 25/22 -> C = 726/625 (~259.34c) ===
{| class="wikitable"
|+
!A
!B
!Scale
!odd-limit of scale intervals
|-
|25/24 (~70.67c)
|288/275 (~79.96c)
|1/1 25/24 12/11 25/22 33/25 11/8 36/25 3/2
|625
|}
|}


[[Category: Just intonation scales]]
[[Category: Just intonation scales]]
[[Category: Step-nested scales]]
[[Category: Step-nested scales]]