User:Contribution/Collection of tunings: Difference between revisions

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|26zpi
|26zpi
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|10.0084563372591
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|119.898609691954
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|34zpi
|34zpi
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|12.0231830072926
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|99.8071807833375
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|42zpi
|42zpi
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|13.9002525327005
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|86.3293668353859
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|47zpi
|47zpi
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|15.0534898676781
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|79.7157343943591
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|51zpi
|51zpi
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|15.9443732426877
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|75.2616601314409
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|EDO ≤ 29
|EDO ≤ 29
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|56zpi no-5 analogue
|<s>56zpi no-5 analogue</s>
|17.0347927675362037047409871190907115584257359751871828691074626558313
|<s>17.0347927675362037047409871190907115584257359751871828691074626558313</s>
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|56zpi
|56zpi
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|17.0445886606675
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|70.4035764012981
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|65zpi
|65zpi
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|18.9480867166984
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|63.3309324546460
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|75zpi
|75zpi
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|21.0279383259393
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|57.0669354931351
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|80zpi
|80zpi
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|22.0251467420146
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|54.4831784348982
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|90zpi
|90zpi
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|24.0057421830853
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|49.9880399800983
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|93zpi
|<s>93zpi</s>
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|<s>24.5782550666850</s>
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|<s>48.8236449961234</s>
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|EDO ≤ 29
|EDO ≤ 29
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|100zpi
|25.9356996537225
|46.2682717652372
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|26edo
|26edo
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|106zpi
|106zpi
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|27.0866140827635
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|44.3023257293579
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|116zpi
|116zpi
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|28.9399661541990
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|41.4651487014917
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|127zpi
|127zpi
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|30.9783816349790
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|38.7366910944446
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|144zpi
|144zpi
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|34.0448410043159
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|35.2476312005063
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|Carlos Gamma 3/2
|Carlos Gamma 3/2
|-
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|151zpi
|<s>151zpi</s>
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|<s>35.2948974160593</s>
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|<s>33.9992488391253</s>
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|151zpi no-2 analogue
|151zpi no-2 analogue
|35.3059427335608633586867709728239574896988978536248407971925774931920
|35.3059427335608633586867709728239574896988978536248407971925774931920
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|33.9886123153797795726938859938695575674205028551304634432771826217692714955
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|155zpi
|<s>155zpi</s>
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|<s>35.9823877000425</s>
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|<s>33.3496490006021</s>
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|161zpi
|<s>161zpi</s>
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|<s>37.0275229191254</s>
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|<s>32.4083250889078</s>
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|184zpi
|184zpi
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|40.9880783925993
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|29.2768055263764
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|186zpi
|<s>186zpi</s>
|41.3438354846780
|<s>41.3438354846780</s>
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|<s>29.0248832971658</s>
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|Has a strong no-2 no-5 zeta peak
|Has a strong no-2 no-5 zeta peak
|-
|-
|188zpi
|<s>188zpi</s>
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|<s>41.6477381898475</s>
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|<s>28.8130893094339</s>
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|214zpi
|214zpi
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|46.0089748051542
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|26.0818678330031
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|257zpi
|257zpi
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|52.9968291550147
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|22.6428640945673
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|282zpi
|<s>282zpi</s>
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|<s>56.9682909142655</s>
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|<s>21.0643496713977</s>
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|289zpi
|289zpi
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|58.0667185533159
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|20.6658827964969
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|301zpi
|301zpi
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|59.9201656607655
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|20.0266469020418
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|Has a strong zeta peak
|Has a strong zeta peak
|-
|334zpi
|65.0158450885860
|18.4570391781413
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|28ed4/3
|28ed4/3
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|354zpi
|354zpi
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|68.0493056282519
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|17.6342725163943
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|380zpi
|380zpi
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|71.9506065993786
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|16.6781081733140
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|414zpi
|414zpi
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|76.9918536925042
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|15.5860645308353
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|Has a strong zeta peak
|Has a strong zeta peak
|-
|435zpi
|80.0731374302484
|14.9862992572924
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|455zpi no-3 no-5 analogue
|455zpi no-3 no-5 analogue
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|455zpi
|<s>455zpi</s>
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|<s>82.9665108106434</s>
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|<s>14.4636671866169</s>
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|462zpi
|462zpi
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|83.9972142607288
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|14.2861880666087
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|483zpi
|483zpi
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|87.0139255957575
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|13.7908960178956
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|532zpi
|532zpi
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|93.9836761074943
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|12.7681747480009
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|568zpi
|568zpi
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|99.0473345956631
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|12.1154194093028
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|695zpi
|<s>695zpi</s>
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|<s>116.484048333840</s>
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|<s>10.3018397554387</s>
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|1114zpi
|1114zpi
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|170.995891689006
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|7.01771246166817
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|1936zpi
|1936zpi
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|270.017794631965
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|4.44415154799558
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|2293zpi
|2293zpi
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|311.004029926555
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|3.85847090239759
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|-
|-

Revision as of 22:50, 8 June 2025

Equal-step tunings

Name Steps per octave Step size (cents) Why it matters
5edo EDO ≤ 29, Alpha 2/1 analogue
6edo EDO ≤ 29
7edo EDO ≤ 29, Beta 2/1 analogue
8edo EDO ≤ 29
9edo EDO ≤ 29
7ed5/3 Alpha 5/3 analogue
10edo EDO ≤ 29
26zpi 10.0084563372591 119.898609691954
11edo EDO ≤ 29
12edo EDO ≤ 29, Has a strong zeta peak, Gamma 2/1 analogue
34zpi 12.0231830072926 99.8071807833375
9ed5/3 Beta 5/3 analogue
13edo EDO ≤ 29
42zpi 13.9002525327005 86.3293668353859
14edo EDO ≤ 29
15edo EDO ≤ 29
47zpi 15.0534898676781 79.7157343943591
9ed3/2 Carlos Alpha 3/2
51zpi 15.9443732426877 75.2616601314409
16edo EDO ≤ 29
17edo EDO ≤ 29
56zpi no-5 analogue 17.0347927675362037047409871190907115584257359751871828691074626558313
56zpi 17.0445886606675 70.4035764012981
18edo EDO ≤ 29
11ed3/2 Carlos Beta 3/2
65zpi 18.9480867166984 63.3309324546460
19edo EDO ≤ 29, Has a strong zeta peak
20edo EDO ≤ 29
21edo EDO ≤ 29
75zpi 21.0279383259393 57.0669354931351
16ed5/3 Gamma 5/3 analogue
22edo EDO ≤ 29, Has a strong zeta peak
80zpi 22.0251467420146 54.4831784348982
11ed7/5 Alpha 7/5 analogue
23edo EDO ≤ 29
24edo EDO ≤ 29
90zpi 24.0057421830853 49.9880399800983
93zpi no-2 analogue 24.5738316304204445883184323365600165414701853056787276394517489970293
93zpi 24.5782550666850 48.8236449961234
39edt Has a strong no-2 zeta peak
25edo EDO ≤ 29
100zpi 25.9356996537225 46.2682717652372
26edo EDO ≤ 29
13ed7/5 Beta 7/5 analogue
27edo EDO ≤ 29, Has a strong zeta peak
106zpi 27.0866140827635 44.3023257293579
28edo EDO ≤ 29
116zpi 28.9399661541990 41.4651487014917
29edo EDO ≤ 29
127zpi 30.9783816349790 38.7366910944446
31edo Has a strong zeta peak
13ed4/3 Alpha 4/3 analogue
34edo Has a strong zeta peak
144zpi 34.0448410043159 35.2476312005063
20ed3/2 Carlos Gamma 3/2
151zpi 35.2948974160593 33.9992488391253
151zpi no-2 analogue 35.3059427335608633586867709728239574896988978536248407971925774931920 33.9886123153797795726938859938695575674205028551304634432771826217692714955
56edt Has a strong no-2 zeta peak
155zpi no-5 analogue 35.9775957344990354876843659181629374042162799645238247644819739175425
155zpi 35.9823877000425 33.3496490006021
36edo Has a strong no-5 zeta peak
15ed4/3 Beta 4/3 analogue
37edo Has a strong no-3 zeta peak
161zpi no-3 analogue 37.0117501336435252522939269985227920601261578745487306336979972897294
161zpi 37.0275229191254 32.4083250889078
41edo Has a strong zeta peak
184zpi 40.9880783925993 29.2768055263764
186zpi 41.3438354846780 29.0248832971658
96ed5 Has a strong no-2 no-3 zeta peak
186zpi no-2 no-3 analogue 41.3477989230936
188zpi no-2 no-5 analogue 41.6281274155763001275416027845619755345480144939422820248677372190977
66edt Has a strong no-2 no-5 zeta peak
188zpi 41.6477381898475 28.8130893094339
46edo Has a strong zeta peak
214zpi 46.0089748051542 26.0818678330031
24ed7/5 Gamma 7/5 analogue
53edo Has a strong zeta peak
257zpi 52.9968291550147 22.6428640945673
282zpi 56.9682909142655 21.0643496713977
282zpi no-3 no-5 analogue 56.9949885079206769176514037038198357725273287855611008976484058072516
57edo Has a strong no-3 no-5 zeta peak
58edo Has a strong zeta peak
289zpi 58.0667185533159 20.6658827964969
301zpi 59.9201656607655 20.0266469020418
60edo Has a strong zeta peak
65edo Has a strong zeta peak
334zpi 65.0158450885860 18.4570391781413
28ed4/3 Gamma 4/3 analogue
68edo Has a strong zeta peak
354zpi 68.0493056282519 17.6342725163943
380zpi 71.9506065993786 16.6781081733140
72edo Has a strong zeta peak
414zpi 76.9918536925042 15.5860645308353
77edo Has a strong zeta peak
80edo Has a strong zeta peak
435zpi 80.0731374302484 14.9862992572924
455zpi no-3 no-5 analogue 82.9585473728587401934282446836610895074185494886540503684148508037660
455zpi 82.9665108106434 14.4636671866169
83edo Has a strong no-3 no-5 zeta peak
462zpi 83.9972142607288 14.2861880666087
84edo Has a strong zeta peak
87edo Has a strong zeta peak
483zpi 87.0139255957575 13.7908960178956
532zpi 93.9836761074943 12.7681747480009
94edo Has a strong zeta peak
99edo Has a strong zeta peak
568zpi 99.0473345956631 12.1154194093028
327ed7 Has a strong no-2 no-3 no-5 zeta peak
695zpi no-2 no-3 no-5 analogue 116.481879086491562246584713240674074197523436163157572853694264779074
695zpi 116.484048333840 10.3018397554387
1114zpi 170.995891689006 7.01771246166817
171edo Exceptionally strong zeta peak
270edo Exceptionally strong zeta peak
1936zpi 270.017794631965 4.44415154799558
311edo Exceptionally strong zeta peak
2293zpi 311.004029926555 3.85847090239759
342edo 171*2^n family
684edo 171*2^n family
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