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User:Contribution/Collection of tunings: Difference between revisions

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|- style="white-space: nowrap;"
|- style="white-space: nowrap;"
! EDR !! Steps per octave !! Cents !! Why it matters !! Optimization !! Steps per octave !! Cents
! EDR !! Steps per octave !! Cents !! Why it matters !! Optimization !! Steps per octave !! Cents
|-
|5edo
|5
|
|EDO ≤ 29, Alpha 2/1 analogue
|
|
|
|-
|6edo
|6
|
|EDO ≤ 29
|
|
|
|-
|7edo
|7
|
|EDO ≤ 29, Beta 2/1 analogue
|
|
|
|-
|8edo
|8
|
|EDO ≤ 29
|
|
|
|-
|9edo
|9
|
|EDO ≤ 29
|
|
|
|-
|-
|7ed5/3
|7ed5/3
Line 77: Line 37:
|12
|12
|
|
|EDO ≤ 29, Has a strong zeta peak, Gamma 2/1 analogue
|EDO ≤ 29, Has a strong zeta peak
|34zpi
|34zpi
|12.0231830072926
|12.0231830072926
Line 545: Line 505:
|
|
|
|
|}
{| class="wikitable sortable"
|+ style="font-size: 105%;" | EDRs collection & optimization
|- style="white-space: nowrap;"
! colspan="4" | EDRs !! colspan="3" | Optimization
|- style="white-space: nowrap;"
! EDR !! Steps per octave !! Cents !! Why it matters !! Optimization !! Steps per octave !! Cents
|-
|5edo
|5
|
|EDO ≤ 29, Alpha 2/1 analogue
|-
|6edo
|6
|
|EDO ≤ 29
|-
|7edo
|7
|
|EDO ≤ 29, Beta 2/1 analogue
|-
|8edo
|8
|
|EDO ≤ 29
|-
|9edo
|9
|
|EDO ≤ 29
|-
|7ed5/3
|9.49840814199706858453236308296456727180164766756424872573514114916072877570
|
|Alpha 5/3 analogue
|-
|10edo
|10
|
|EDO ≤ 29
|-
|26zpi
|10.0084563372591
|119.898609691954
|
|-
|11edo
|11
|
|EDO ≤ 29
|-
|12edo
|12
|
|EDO ≤ 29, Has a strong zeta peak, Gamma 2/1 analogue
|-
|34zpi
|12.0231830072926
|99.8071807833375
|
|-
|9ed5/3
|12.2122390397105167515416096780973007780306898582968912188023243346352227116
|
|Beta 5/3 analogue
|-
|13edo
|13
|
|EDO ≤ 29
|-
|42zpi
|13.9002525327005
|86.3293668353859
|
|-
|14edo
|14
|
|EDO ≤ 29
|-
|15edo
|15
|
|EDO ≤ 29
|-
|47zpi
|15.0534898676781
|79.7157343943591
|
|-
|9ed3/2
|15.3856016221630929927857123595661272655350336171249650076700851565894672010
|
|Carlos Alpha 3/2
|-
|51zpi
|15.9443732426877
|75.2616601314409
|
|-
|16edo
|16
|
|EDO ≤ 29
|-
|17edo
|17
|
|EDO ≤ 29
|-
|<s>56zpi no-5 analogue</s>
|<s>17.0347927675362037047409871190907115584257359751871828691074626558313</s>
|
|
|-
|56zpi
|17.0445886606675
|70.4035764012981
|
|-
|18edo
|18
|
|EDO ≤ 29
|-
|11ed3/2
|18.8046242048660025467380928839141555467650410875971794538189929691649043568
|
|Carlos Beta 3/2
|-
|65zpi
|18.9480867166984
|63.3309324546460
|
|-
|19edo
|19
|
|EDO ≤ 29, Has a strong zeta peak
|-
|20edo
|20
|
|EDO ≤ 29
|-
|21edo
|21
|
|EDO ≤ 29
|-
|75zpi
|21.0279383259393
|57.0669354931351
|
|-
|16ed5/3
|21.7106471817075853360739727610618680498323375258611399445374654837959514873
|
|Gamma 5/3 analogue
|-
|22edo
|22
|
|EDO ≤ 29, Has a strong zeta peak
|-
|80zpi
|22.0251467420146
|54.4831784348982
|
|-
|11ed7/5
|22.6604698881675975718539343001772210291924199534946609650608950558236849973
|
|Alpha 7/5 analogue
|-
|23edo
|23
|
|EDO ≤ 29
|-
|24edo
|24
|
|EDO ≤ 29
|-
|90zpi
|24.0057421830853
|49.9880399800983
|
|-
|93zpi no-2 analogue
|24.5738316304204445883184323365600165414701853056787276394517489970293
|48.8324335434322607337830293873763777285246843568212813459755275268185837463
|
|-
|<s>93zpi</s>
|<s>24.5782550666850</s>
|<s>48.8236449961234</s>
|
|-
|39edt
|24.6062603892868400468815574593676733176838399651433366869555428097087228538
|
|Has a strong no-2 zeta peak
|-
|25edo
|25
|
|EDO ≤ 29
|-
|100zpi
|25.9356996537225
|46.2682717652372
|
|-
|26edo
|26
|
|EDO ≤ 29
|-
|13ed7/5
|26.7805553223798880394637405365730793981364963086755084132537850659734459059
|
|Beta 7/5 analogue
|-
|27edo
|27
|
|EDO ≤ 29, Has a strong zeta peak
|-
|106zpi
|27.0866140827635
|44.3023257293579
|
|-
|28edo
|28
|
|EDO ≤ 29
|-
|116zpi
|28.9399661541990
|41.4651487014917
|
|-
|29edo
|29
|
|EDO ≤ 29
|-
|127zpi
|30.9783816349790
|38.7366910944446
|
|-
|31edo
|31
|
|Has a strong zeta peak
|-
|13ed4/3
|31.3224709154917170595712563005616739301927219730991737328958039656595105508
|
|Alpha 4/3 analogue
|-
|34edo
|34
|
|Has a strong zeta peak
|-
|144zpi
|34.0448410043159
|35.2476312005063
|
|-
|20ed3/2
|34.1902258270290955395238052434802828123000747047221444614890781257543715579
|
|Carlos Gamma 3/2
|-
|<s>151zpi</s>
|<s>35.2948974160593</s>
|<s>33.9992488391253</s>
|
|-
|151zpi no-2 analogue
|35.3059427335608633586867709728239574896988978536248407971925774931920
|33.9886123153797795726938859938695575674205028551304634432771826217692714955
|
|-
|56edt
|35.3320662000016164775735184031946078407767958473853039607566768549663712773
|
|Has a strong no-2 zeta peak
|-
|155zpi no-5 analogue
|35.9775957344990354876843659181629374042162799645238247644819739175425
|33.3540909419168338960282298282173036675588854165862895775989035929190051321
|
|-
|<s>155zpi</s>
|<s>35.9823877000425</s>
|<s>33.3496490006021</s>
|
|-
|36edo
|36
|
|Has a strong no-5 zeta peak
|-
|15ed4/3
|36.1413125947981350687360649621865468425300638151144312302643891911455890971
|
|Beta 4/3 analogue
|-
|37edo
|37
|
|Has a strong no-3 zeta peak
|-
|161zpi no-3 analogue
|37.0117501336435252522939269985227920601261578745487306336979972897294
|32.4221360964286053986540281462323756320027885683144327873809896041665053646
|
|-
|<s>161zpi</s>
|<s>37.0275229191254</s>
|<s>32.4083250889078</s>
|
|-
|184zpi
|40.9880783925993
|29.2768055263764
|
|-
|41edo
|41
|
|Has a strong zeta peak
|-
|<s>186zpi</s>
|<s>41.3438354846780</s>
|<s>29.0248832971658</s>
|
|-
|96ed5
|41.3449495750457328643302306013407006787000254796570031349096996442235599236
|
|Has a strong no-2 no-3 zeta peak
|-
|186zpi no-2 no-3 analogue
|41.3477989230936
|29.0221010852836
|
|-
|188zpi no-2 no-5 analogue
|41.6281274155763001275416027845619755345480144939422820248677372190977
|28.8266629920755754571831740158108063867663530357929200798818480023767470361
|
|-
|66edt
|41.6413637357161908485687895466222163837726522487041082394632262933532232911
|
|Has a strong no-2 no-5 zeta peak
|-
|<s>188zpi</s>
|<s>41.6477381898475</s>
|<s>28.8130893094339</s>
|
|-
|46edo
|46
|
|Has a strong zeta peak
|-
|214zpi
|46.0089748051542
|26.0818678330031
|
|-
|24ed7/5
|49.4410252105474856113176748367503004273289162621701693783146801217971309033
|
|Gamma 7/5 analogue
|-
|257zpi
|52.9968291550147
|22.6428640945673
|
|-
|53edo
|53
|
|Has a strong zeta peak
|-
|<s>282zpi</s>
|<s>56.9682909142655</s>
|<s>21.0643496713977</s>
|
|-
|282zpi no-3 no-5 analogue
|56.9949885079206769176514037038198357725273287855611008976484058072516
|21.0544827083039808806917479490481104480956786904618314090632684997207904034
|
|-
|57edo
|57
|
|Has a strong no-3 no-5 zeta peak
|-
|58edo
|58
|
|Has a strong zeta peak
|-
|289zpi
|58.0667185533159
|20.6658827964969
|
|-
|301zpi
|59.9201656607655
|20.0266469020418
|
|-
|60edo
|60
|
|Has a strong zeta peak
|-
|65edo
|65
|
|Has a strong zeta peak
|-
|334zpi
|65.0158450885860
|18.4570391781413
|
|-
|28ed4/3
|67.4637835102898521283073212627482207727227857882136049631601931568050996480
|
|Gamma 4/3 analogue
|-
|68edo
|68
|
|Has a strong zeta peak
|-
|354zpi
|68.0493056282519
|17.6342725163943
|
|-
|380zpi
|71.9506065993786
|16.6781081733140
|
|-
|72edo
|72
|
|Has a strong zeta peak
|-
|414zpi
|76.9918536925042
|15.5860645308353
|
|-
|77edo
|77
|
|Has a strong zeta peak
|-
|80edo
|80
|
|Has a strong zeta peak
|-
|435zpi
|80.0731374302484
|14.9862992572924
|
|-
|455zpi no-3 no-5 analogue
|82.9585473728587401934282446836610895074185494886540503684148508037660
|14.4650555970631644892614919440394905869155594072293855522604093941309631517
|
|-
|<s>455zpi</s>
|<s>82.9665108106434</s>
|<s>14.4636671866169</s>
|
|-
|83edo
|83
|
|Has a strong no-3 no-5 zeta peak
|-
|462zpi
|83.9972142607288
|14.2861880666087
|
|-
|84edo
|84
|
|Has a strong zeta peak
|-
|87edo
|87
|
|Has a strong zeta peak
|-
|483zpi
|87.0139255957575
|13.7908960178956
|
|-
|532zpi
|93.9836761074943
|12.7681747480009
|
|-
|94edo
|94
|
|Has a strong zeta peak
|-
|99edo
|99
|
|Has a strong zeta peak
|-
|568zpi
|99.0473345956631
|12.1154194093028
|
|-
|327ed7
|116.479750184323251720135904506422003080366592226710079912941501697613698777
|
|Has a strong no-2 no-3 no-5 zeta peak
|-
|695zpi no-2 no-3 no-5 analogue
|116.481879086491562246584713240674074197523436163157572853694264779074
|10.3020316070704971370763940790472253291607124811459581948058543261473166559
|
|-
|<s>695zpi</s>
|<s>116.484048333840</s>
|<s>10.3018397554387</s>
|
|-
|1114zpi
|170.995891689006
|7.01771246166817
|
|-
|171edo
|171
|
|Exceptionally strong zeta peak
|-
|270edo
|270
|
|Exceptionally strong zeta peak
|-
|1936zpi
|270.017794631965
|4.44415154799558
|
|-
|311edo
|311
|
|Exceptionally strong zeta peak
|-
|2293zpi
|311.004029926555
|3.85847090239759
|
|-
|342edo
|342
|
|171*2^n family
|-
|684edo
|684
|
|171*2^n family
|}
|}
Retrieved from "https://en.xen.wiki/w/User:Contribution/Collection_of_tunings"