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Diaschismic extensions: Difference between revisions

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fixed interval tunings
Line 37: Line 37:
! 2.3.5.17 subgroup !! Intervals of 7
! 2.3.5.17 subgroup !! Intervals of 7
|-
|-
| −8 || 220.3 || 100/81 || 21/17, 56/45
| −8 || 370.6 || 100/81 || 21/17, 56/45
|-
|-
| −7 || 440.6 || 125/96 || '''21/16''', 112/85
| −7 || 474.2 || 125/96 || '''21/16''', 112/85
|-
|-
| −6 || 660.9 || 25/18 || 7/5
| −6 || 577.9 || 25/18 || 7/5
|-
|-
| −5 || 881.1 || 25/24 || 21/20
| −5 || 81.6 || 25/24 || 21/20
|-
|-
| −4 || 1101.4 || 10/9, 75/68 || 28/25
| −4 || 185.3 || 10/9, 75/68 || 28/25
|-
|-
| −3 || 1321.7 || 20/17, 32/27 || 119/100
| −3 || 289.0 || 20/17, 32/27 || 119/100
|-
|-
| −2 || 1542.0 || '''5/4''', 34/27, 64/51 || 63/50
| −2 || 392.6 || '''5/4''', 34/27, 64/51 || 63/50
|-
|-
| −1 || 1762.2 || 4/3, 45/34 || 168/125
| −1 || 496.3 || 4/3, 45/34 || 168/125
|-
|-
| 0 || 0.0 || '''1/1''' || 126/125
| 0 || 0.0 || '''1/1''' || 126/125
|-
|-
| 1 || 220.3 || 16/15, '''17/16''', 18/17 ||  
| 1 || 103.7 || 16/15, '''17/16''', 18/17 ||  
|-
|-
| 2 || 440.6 || '''9/8''', 17/15 || 125/112
| 2 || 207.4 || '''9/8''', 17/15 || 125/112
|-
|-
| 3 || 660.9 || 6/5, 81/68 || 25/21
| 3 || 311.0 || 6/5, 81/68 || 25/21
|-
|-
| 4 || 881.1 || 32/25, 51/40, 81/64 || 80/63
| 4 || 414.7 || 32/25, 51/40, 81/64 || 80/63
|-
|-
| 5 || 1101.4 || 27/20, 34/25 || 75/56, 85/63
| 5 || 518.4 || 27/20, 34/25 || 75/56, 85/63
|-
|-
| 6 || 1321.7 || 51/50, 81/80 || 85/84
| 6 || 22.1 || 51/50, 81/80 || 85/84
|-
|-
| 7 || 1542.0 || 27/25 || 15/14, 68/63
| 7 || 125.8 || 27/25 || 15/14, 68/63
|-
|-
| 8 || 1762.2 || 144/125 || 8/7
| 8 || 229.5 || 144/125 || 8/7
|}
|}
<nowiki />* In 3.5.7-targeted [[DKW theory|DKW]] tuning for [[BPS]]
<nowiki />* In 7-limit [[POTE]] tuning
</div>
</div>


Line 82: Line 82:
! 2.3.5.17 subgroup !! Intervals of 7
! 2.3.5.17 subgroup !! Intervals of 7
|-
|-
| &minus;8 || 1762.2 || 125/72 || '''7/4'''
| &minus;8 || 970.6 || 125/72 || '''7/4'''
|-
|-
| &minus;7 || 1542.0 || 50/27 || 28/15, 63/34
| &minus;7 || 1074.2 || 50/27 || 28/15, 63/34
|-
|-
| &minus;6 || 1321.7 || 100/51, 160/81 || 168/85
| &minus;6 || 1177.9 || 100/51, 160/81 || 168/85
|-  
|-  
| &minus;5 || 1101.4 || 40/27, 25/17 || 112/75, 126/85
| &minus;5 || 681.6 || 40/27, 25/17 || 112/75, 126/85
|-
|-
| &minus;4 || 881.1 || '''25/16''', 80/51, 128/81 || 63/40
| &minus;4 || 785.3 || '''25/16''', 80/51, 128/81 || 63/40
|-
|-
| &minus;3 || 660.9 || 5/3, 136/81 || 42/25
| &minus;3 || 889.0 || 5/3, 136/81 || 42/25
|-
|-
| &minus;2 || 440.6 || 16/9, 30/17 || 224/125
| &minus;2 || 992.6 || 16/9, 30/17 || 224/125
|-
|-
| &minus;1 || 220.3 || '''15/8''', 17/9, 32/17 ||
| &minus;1 || 1096.3 || '''15/8''', 17/9, 32/17 ||
|-
|-
| 0 || 0.0 || 17/12, 24/17, 45/32, 64/45 ||
| 0 || 600.0 || 17/12, 24/17, 45/32, 64/45 ||
|-
|-
| 1 || 1762.2 || '''3/2''', 68/45 || 125/84
| 1 || 703.7 || '''3/2''', 68/45 || 125/84
|-
|-
| 2 || 1542.0 || 8/5, 27/17, 51/32 || 100/63
| 2 || 807.4 || 8/5, 27/17, 51/32 || 100/63
|-
|-
| 3 || 1321.7 || 17/10, '''27/16''' || 200/119
| 3 || 911.0 || 17/10, '''27/16''' || 200/119
|-
|-
| 4 || 1101.4 || 9/5, 136/75 || 25/14
| 4 || 1014.7 || 9/5, 136/75 || 25/14
|-
|-
| 5 || 881.1 || 48/25 || 40/21
| 5 || 1118.4 || 48/25 || 40/21
|-
|-
| 6 || 660.9 || 36/25 || 10/7
| 6 || 622.1 || 36/25 || 10/7
|-
|-
| 7 || 440.6 || 192/125 || 32/21, 85/56
| 7 || 725.8 || 192/125 || 32/21, 85/56
|-
|-
| 8 || 220.3 || 81/50 || 34/21, 45/28
| 8 || 829.5 || 81/50 || 34/21, 45/28
|}
|}
<nowiki />* In 3.5.7-targeted [[DKW theory|DKW]] tuning for [[BPS]]
<nowiki />* In 7-limit [[POTE]] tuning
</div>
</div>


Retrieved from "https://en.xen.wiki/w/Diaschismic_extensions"