Rodan: Difference between revisions

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Add an interval table
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Gencom map: [<1 1 -1 3 6 8 8|, <0 3 17 -1 -13 -22 -20|]
Gencom map: [<1 1 -1 3 6 8 8|, <0 3 17 -1 -13 -22 -20|]


=Spectrum of Rodan Tunings by Eigenmonzos=
== Interval Chain ==
{| class="wikitable center-all right-2"
! rowspan="2" | #
! rowspan="2" | Cents*
! colspan="2" | Approximate Ratios
|-
!11-limit
!13-limit
|-
|1
|234.482
|8/7
|
|-
|2
|468.964
|21/16
|
|-
|3
|703.446
|3/2
|
|-
|4
|937.929
|12/7
|
|-
|5
|1172.411
|63/32~160/81
|
|-
|6
|206.893
|9/8
|
|-
|7
|441.375
|9/7
|
|-
|8
|675.857
|40/27
|
|-
|9
|910.339
|27/16
|22/13
|-
|10
|1144.821
|27/14~35/18~64/33
|
|-
|11
|179.304
|10/9
|
|-
|12
|413.786
|14/11~81/64~80/63
|33/26
|-
|13
|648.268
|16/11
|
|-
|14
|882.750
|5/3
|
|-
|15
|1117.232
|21/11~40/21
|
|-
|16
|151.714
|12/11
|
|-
|17
|386.196
|5/4
|
|-
|18
|620.679
|10/7
|
|-
|19
|855.161
|18/11
|64/39
|-
|20
|1089.643
|15/8
|
|-
|21
|124.125
|15/14
|14/13
|-
|22
|358.607
|27/22
|16/13
|}
<nowiki>*</nowiki> in 13-limit POTE tuning
 
== Spectrum of Rodan Tunings by Eigenmonzos ==


{| class="wikitable"
{| class="wikitable"
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|}
|}


[[Category:Rodan]] <!-- main article -->
[[Category:soft redirect]]
[[Category:soft redirect]]

Revision as of 09:55, 8 June 2020

See Gamelismic clan #Rodan.

Gencom: [2 8/7; 154/153 196/195 245/243 273/272 364/363]

Gencom map: [<1 1 -1 3 6 8 8|, <0 3 17 -1 -13 -22 -20|]

Interval Chain

# Cents* Approximate Ratios
11-limit 13-limit
1 234.482 8/7
2 468.964 21/16
3 703.446 3/2
4 937.929 12/7
5 1172.411 63/32~160/81
6 206.893 9/8
7 441.375 9/7
8 675.857 40/27
9 910.339 27/16 22/13
10 1144.821 27/14~35/18~64/33
11 179.304 10/9
12 413.786 14/11~81/64~80/63 33/26
13 648.268 16/11
14 882.750 5/3
15 1117.232 21/11~40/21
16 151.714 12/11
17 386.196 5/4
18 620.679 10/7
19 855.161 18/11 64/39
20 1089.643 15/8
21 124.125 15/14 14/13
22 358.607 27/22 16/13

* in 13-limit POTE tuning

Spectrum of Rodan Tunings by Eigenmonzos

Eigenmonzo Fifth
8/7 693.522
17/13 696.642
7/6 699.847
9/7 700.750
4/3 701.955
24\41 702.439
15/14 702.778
7/5 702.915 (7 and 9 limit minimax)
11/9 703.041 (11 limit minimax)
75\128 703.125
18/13 703.220 (13 and 15 limit minimax)
16/15 703.240
12/11 703.244
15/11 703.359
13/12 703.371
15/13 703.410
51\87 703.448
5/4 703.467 (5 limit minimax)
11/10 703.500
13/10 703.522
11/8 703.542
16/13 703.564
13/11 703.597
18/17 703.726 (17 limit minimax)
17/15 703.748
78\133 703.759
6/5 703.791
20/17 703.894
24/17 703.956
10/9 704.292
14/11 704.377
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