Porcupine extensions: Difference between revisions

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Restore the porcupinefish tuning spectrum here
 
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[[Category:Porcupine]]
[[Category:Porcupine]]
[[Category:Temperament extensions]]
[[Category:Temperament extensions]]
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Revision as of 20:05, 8 April 2025

Porcupine has various extensions to the 13-limit.

Tuning spectrum

Tridecimal porcupine

Tuning spectrum of 13-limit porcupine
Edo
generator
Eigenmonzo
(Unchanged-interval)
Generator (¢) Comments
13/12 138.573
13/11 144.605
1\8 150.000 Lower bound of 5-odd-limit diamond monotone
12/11 150.637 Lower bound of 11-odd-limit diamond tradeoff
13/10 151.405
6/5 157.821 Lower bound of 5-, 7-, and 9-odd-limit diamond tradeoff
15/13 158.710
18/13 159.154
2\15 160.000 Lower bound of 7-, 9-, and 11-odd-limit diamond monotone
8/7 161.471
14/11 161.751
7/5 162.047
5\37 162.162
11/8 162.171 13- and 15-odd-limit minimax
8\59 162.712
5/4 162.737 5- and 7-odd-limit minimax
15/14 162.897
7/6 162.986
3\22 163.636 Upper bound of 7-, 9-, and 11-odd-limit diamond monotone
9/7 163.743 9- and 11-odd-limit minimax
16/15 163.966
7\51 164.706
11/10 165.004
4\29 165.517
15/11 165.762
4/3 166.015 Upper bound of 5- and 7-odd-limit diamond tradeoff
14/13 166.037
1\7 171.429 Upper bound of 5-odd-limit diamond monotone
11/9 173.704
16/13 179.736
10/9 182.404 Upper bound of 9- and 11-odd-limit diamond tradeoff

Porcupinefish

Edo
generator
Eigenmonzo
(unchanged-interval)
Generator (¢) Comments
12/11 150.637
6/5 157.821
2\15 160.000
18/13 160.307
15/13 160.860
8/7 161.471
13/12 161.531
14/11 161.751
7/5 162.047
14/13 162.100
13/10 162.149
5\37 162.162
11/8 162.171
16/13 162.322
13/11 162.368 13- and 15-odd-limit minimax
8\59 162.712
5/4 162.737 5- and 7-odd-limit minimax
15/14 162.897
7/6 162.986
3\22 163.636
9/7 163.743 9- and 11-odd-limit minimax
16/15 163.966
7\51 164.706
11/10 165.004
4\29 165.517
15/11 165.762
4/3 166.015
11/9 173.704
10/9 182.404