Diaschismic extensions: Difference between revisions

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For technical data on 7-limit and higher-limit srutal: see [[Diaschismic family #Srutal]].
For technical data on 7-limit and higher-limit srutal: see [[Diaschismic family #Srutal]].


== Interval chains ==
== Intervals ==
=== Diaschismic ===
=== Diaschismic (2.3.5.7.17) ===
<div><div style="display: inline-grid; margin-right: 25px;">
<div><div style="display: inline-grid; margin-right: 25px;">
{| class="wikitable center-1 right-2"
{| class="wikitable center-1 right-2"
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</div>
</div>


== Intervals ==
=== Srutal (17-limit) ===
<div class="toccolours mw-collapsible mw-collapsed" style="width: 600px; overflow: auto;">
<div class="toccolours mw-collapsible mw-collapsed" style="width: 600px; overflow: auto;">
<div style="line-height: 1.6;">'''Intervals of srutal {{nowrap|(34d &amp; 46)}}'''</div>
<div style="line-height: 1.6;">'''Intervals of srutal {{nowrap|(34d &amp; 46)}}'''</div>
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| 21/16
| 21/16
| 7/5
| 7/5
|}
<nowiki />* In 17-limit POTE tuning
</div></div>
<div class="toccolours mw-collapsible mw-collapsed" style="width: 600px; overflow: auto;">
<div style="line-height: 1.6;">'''Intervals of diaschismic {{nowrap|(46 &amp; 58)}}'''</div>
<div class="mw-collapsible-content">
{| class="wikitable"
|-
! Generator
! &minus;17
! &minus;16
! &minus;15
! &minus;14
! &minus;13
! &minus;12
|-
! Cents*
| 35.19
| 139.01
| 242.82
| 346.63
| 450.44
| 554.25
|-
! Ratios
|
| 13/12
|
| 11/9
| 22/17, 13/10
| 11/8
|-
! Generator
! &minus;11
! &minus;10
! &minus;9
! &minus;8
! &minus;7
! &minus;6
|-
! Cents*
| 58.07
| 161.88
| 265.69
| 369.50
| 473.32
| 577.13
|-
! Ratios
|
| 11/10
| 7/6
| 21/17, 26/21
| 21/16
| 7/5
|-
! Generator
! &minus;5
! &minus;4
! &minus;3
! &minus;2
! &minus;1
! &minus; 0
|-
! Cents*
| 80.94
| 184.75
| 288.56
| 392.38
| 496.19
| 600.00
|-
! Ratios
| 22/21, 21/20
| 10/9
| 20/17, 13/11
| 5/4
| 4/3
| 24/17, 17/12
|-
! Generator
! 0
! 1
! 2
! 3
! 4
! 5
|-
! Cents*
| 0.00
| 103.81
| 207.62
| 311.44
| 415.25
| 519.06
|-
! Ratios
| 1/1
| 18/17, 17/16, <br />16/15
| 9/8, 17/15
| 6/5
| 14/11
|
|-
! Generator
! 6
! 7
! 8
! 9
! 10
! 11
|-
! Cents*
| 22.87
| 126.68
| 230.50
| 334.31
| 438.12
| 541.93
|-
! Ratios
|
| 15/14, 14/13
| 8/7
| 17/14
| 9/7
| 15/11
|-
! Generator
! 12
! 13
! 14
! 15
! 16
! 17
|-
! Cents*
| 45.75
| 149.56
| 253.37
| 357.18
| 460.99
| 564.81
|-
! Ratios
|
| 12/11
| 15/13
| 16/13
| 17/13
| 18/13
|}
|}
<nowiki />* In 17-limit POTE tuning
<nowiki />* In 17-limit POTE tuning