|
|
| Line 16: |
Line 16: |
| !Cents | | !Cents |
| !Why it matters | | !Why it matters |
| |-
| |
| |7ed5/3
| |
| |9.49840814199707
| |
| |126.336958999921
| |
| |
| |
| |9.50583353877785
| |
| |126.238272015258
| |
| |Alpha 5/3 analogue
| |
| |-
| |
| |10edo
| |
| |10
| |
| |120.
| |
| | colspan="3" |None
| |
| |
| |
| |-
| |
| |11edo
| |
| |11
| |
| |109.090909090909
| |
| | colspan="3" |None
| |
| |
| |
| |-
| |
| |12edo
| |
| |12
| |
| |100.
| |
| |34zpi
| |
| |12.0231830072926
| |
| |99.8071807833375
| |
| |EDO ≤ 29, Has a strong zeta peak
| |
| |-
| |
| |9ed5/3
| |
| |12.2122390397105
| |
| |98.2620792221608
| |
| |
| |
| |12.2053823008782
| |
| |98.3172808862904
| |
| |Beta 5/3 analogue
| |
| |-
| |
| |13edo
| |
| |13
| |
| |92.3076923076923
| |
| | colspan="3" |None
| |
| |
| |
| |-
| |
| |14edo
| |
| |14
| |
| |85.7142857142857
| |
| |42zpi
| |
| |13.9002525327005
| |
| |86.3293668353859
| |
| |EDO ≤ 29
| |
| |-
| |
| |15edo
| |
| |15
| |
| |80.
| |
| |47zpi
| |
| |15.0534898676781
| |
| |79.7157343943591
| |
| |EDO ≤ 29
| |
| |-
| |
| |9ed3/2
| |
| |15.3856016221631
| |
| |77.9950000961542
| |
| |
| |
| |15.3915238996928
| |
| |77.9649895501219
| |
| |Carlos Alpha 3/2
| |
| |-
| |
| |16edo
| |
| |16
| |
| |75.
| |
| | colspan="3" |None
| |
| |
| |
| |-
| |
| |17edo
| |
| |17
| |
| |70.5882352941176
| |
| |56zpi
| |
| |17.0445886606675
| |
| |70.4035764012981
| |
| |EDO ≤ 29
| |
| |-
| |
| |18edo
| |
| |18
| |
| |66.6666666666667
| |
| | colspan="3" |None
| |
| |
| |
| |-
| |
| |11ed3/2
| |
| |18.8046242048660
| |
| |63.8140909877625
| |
| |
| |
| |18.7990736394111
| |
| |63.8329325698408
| |
| |Carlos Beta 3/2
| |
| |-
| |
| |19edo
| |
| |19
| |
| |63.1578947368421
| |
| |65zpi
| |
| |18.9480867166984
| |
| |63.3309324546460
| |
| |EDO ≤ 29, Has a strong zeta peak
| |
| |-
| |
| |20edo
| |
| |20
| |
| |60.
| |
| | colspan="3" |None
| |
| |
| |
| |-
| |
| |21edo
| |
| |21
| |
| |57.1428571428571
| |
| | colspan="3" |None
| |
| |
| |
| |-
| |
| |16ed5/3
| |
| |21.7106471817076
| |
| |55.2724195624655
| |
| |
| |
| |21.7094399215509
| |
| |55.2754932571412
| |
| |Gamma 5/3 analogue
| |
| |-
| |
| |22edo
| |
| |22
| |
| |54.5454545454545
| |
| |80zpi
| |
| |22.0251467420146
| |
| |54.4831784348982
| |
| |EDO ≤ 29, Has a strong zeta peak
| |
| |-
| |
| |11ed7/5
| |
| |22.6604698881676
| |
| |52.9556538731173
| |
| |
| |
| |22.6653911133366
| |
| |52.9441558718088
| |
| |Alpha 7/5 analogue
| |
| |-
| |
| |23edo
| |
| |23
| |
| |52.1739130434783
| |
| | colspan="3" |None
| |
| |
| |
| |-
| |
| |24edo
| |
| |24
| |
| |50.
| |
| |90zpi
| |
| |24.0057421830853
| |
| |49.9880399800983
| |
| |EDO ≤ 29
| |
| |-
| |
| |39edt
| |
| |24.6062603892868
| |
| |48.7680769452663
| |
| |93zpi no-2 analogue
| |
| |24.5738316304204
| |
| |48.8324335434323
| |
| |Has a strong no-2 zeta peak
| |
| |-
| |
| |25edo
| |
| |25
| |
| |48.
| |
| | colspan="3" |None
| |
| |
| |
| |-
| |
| |26edo
| |
| |26
| |
| |46.1538461538462
| |
| |100zpi
| |
| |25.9356996537225
| |
| |46.2682717652372
| |
| |EDO ≤ 29
| |
| |-
| |
| |13ed7/5
| |
| |26.7805553223799
| |
| |44.8086302003300
| |
| |
| |
| |26.7758951088566
| |
| |44.8164289231577
| |
| |Beta 7/5 analogue
| |
| |-
| |
| |27edo
| |
| |27
| |
| |44.4444444444444
| |
| |106zpi
| |
| |27.0866140827635
| |
| |44.3023257293579
| |
| |EDO ≤ 29, Has a strong zeta peak
| |
| |-
| |
| |28edo
| |
| |28
| |
| |42.8571428571429
| |
| | colspan="3" |None
| |
| |
| |
| |-
| |
| |29edo
| |
| |29
| |
| |41.3793103448276
| |
| |116zpi
| |
| |28.9399661541990
| |
| |41.4651487014917
| |
| |EDO ≤ 29
| |
| |-
| |
| |31edo
| |
| |31
| |
| |38.7096774193548
| |
| |127zpi
| |
| |30.9783816349790
| |
| |38.7366910944446
| |
| |Has a strong zeta peak
| |
| |-
| |
| |13ed4/3
| |
| |31.3224709154917
| |
| |38.3111537795856
| |
| |
| |
| |31.3266790320926
| |
| |38.3060074376432
| |
| |Alpha 4/3 analogue
| |
| |-
| |
| |34edo
| |
| |34
| |
| |35.2941176470588
| |
| |144zpi
| |
| |34.0448410043159
| |
| |35.2476312005063
| |
| |Has a strong zeta peak
| |
| |-
| |
| |20ed3/2
| |
| |34.1902258270291
| |
| |35.0977500432694
| |
| |
| |
| |34.1894540921914
| |
| |35.0985422804417
| |
| |Carlos Gamma 3/2
| |
| |-
| |
| |56edt
| |
| |35.3320662000016
| |
| |33.9634821583105
| |
| |151zpi no-2 analogue
| |
| |35.3059427335609
| |
| |33.9886123153798
| |
| |Has a strong no-2 zeta peak
| |
| |-
| |
| |36edo
| |
| |36
| |
| |33.3333333333333
| |
| |155zpi no-5 analogue
| |
| |35.9775957344990
| |
| |33.3540909419168
| |
| |Has a strong no-5 zeta peak
| |
| |-
| |
| |15ed4/3
| |
| |36.1413125947981
| |
| |33.2029999423075
| |
| |
| |
| |36.1372975038827
| |
| |33.2066890135066
| |
| |Beta 4/3 analogue
| |
| |-
| |
| |37edo
| |
| |37
| |
| |32.4324324324324
| |
| |161zpi no-3 analogue
| |
| |37.0117501336435
| |
| |32.4221360964286
| |
| |Has a strong no-3 zeta peak
| |
| |-
| |
| |41edo
| |
| |41
| |
| |29.2682926829268
| |
| |184zpi
| |
| |40.9880783925993
| |
| |29.2768055263764
| |
| |Has a strong zeta peak
| |
| |-
| |
| |96ed5
| |
| |41.3449495750457
| |
| |29.0241011860920
| |
| |186zpi no-2 no-3 analogue
| |
| |41.3477989230936
| |
| |29.0221010852836
| |
| |Has a strong no-2 no-3 zeta peak
| |
| |-
| |
| |66edt
| |
| |41.6413637357162
| |
| |28.8175000131119
| |
| |188zpi no-2 no-5 analogue
| |
| |41.6281274155763
| |
| |28.8266629920756
| |
| |Has a strong no-2 no-5 zeta peak
| |
| |-
| |
| |46edo
| |
| |46
| |
| |26.0869565217391
| |
| |214zpi
| |
| |46.0089748051542
| |
| |26.0818678330031
| |
| |Has a strong zeta peak
| |
| |-
| |
| |24ed7/5
| |
| |49.4410252105475
| |
| |24.2713413585121
| |
| |
| |
| |49.4404896216012
| |
| |24.2716042900130
| |
| |Gamma 7/5 analogue
| |
| |-
| |
| |53edo
| |
| |53
| |
| |22.6415094339623
| |
| |257zpi
| |
| |52.9968291550147
| |
| |22.6428640945673
| |
| |Has a strong zeta peak
| |
| |-
| |
| |57edo
| |
| |57
| |
| |21.0526315789474
| |
| |282zpi no-3 no-5 analogue
| |
| |56.9949885079207
| |
| |21.0544827083040
| |
| |Has a strong no-3 no-5 zeta peak
| |
| |-
| |
| |58edo
| |
| |58
| |
| |20.6896551724138
| |
| |289zpi
| |
| |58.0667185533159
| |
| |20.6658827964969
| |
| |Has a strong zeta peak
| |
| |-
| |
| |60edo
| |
| |60
| |
| |20.0000000000000
| |
| |301zpi
| |
| |59.9201656607655
| |
| |20.0266469020418
| |
| |Has a strong zeta peak
| |
| |-
| |
| |65edo
| |
| |65
| |
| |18.4615384615385
| |
| |334zpi
| |
| |65.0158450885860
| |
| |18.4570391781413
| |
| |Has a strong zeta peak
| |
| |-
| |
| |28ed4/3
| |
| |67.4637835102899
| |
| |17.7873213976647
| |
| |
| |
| |67.4633901646646
| |
| |17.7874251067289
| |
| |Gamma 4/3 analogue
| |
| |-
| |
| |68edo
| |
| |68
| |
| |17.6470588235294
| |
| |354zpi
| |
| |68.0493056282519
| |
| |17.6342725163943
| |
| |Has a strong zeta peak
| |
| |-
| |
| |72edo
| |
| |72
| |
| |16.6666666666667
| |
| |380zpi
| |
| |71.9506065993786
| |
| |16.6781081733140
| |
| |Has a strong zeta peak
| |
| |-
| |
| |77edo
| |
| |77
| |
| |15.5844155844156
| |
| |414zpi
| |
| |76.9918536925042
| |
| |15.5860645308353
| |
| |Has a strong zeta peak
| |
| |-
| |
| |80edo
| |
| |80
| |
| |15.0000000000000
| |
| |435zpi
| |
| |80.0731374302484
| |
| |14.9862992572924
| |
| |Has a strong zeta peak
| |
| |-
| |
| |83edo
| |
| |83
| |
| |14.4578313253012
| |
| |455zpi no-3 no-5 analogue
| |
| |82.9585473728587
| |
| |14.4650555970632
| |
| |Has a strong no-3 no-5 zeta peak
| |
| |-
| |
| |84edo
| |
| |84
| |
| |14.2857142857143
| |
| |462zpi
| |
| |83.9972142607288
| |
| |14.2861880666087
| |
| |Has a strong zeta peak
| |
| |-
| |
| |87edo
| |
| |87
| |
| |13.7931034482759
| |
| |483zpi
| |
| |87.0139255957575
| |
| |13.7908960178956
| |
| |Has a strong zeta peak
| |
| |-
| |
| |94edo
| |
| |94
| |
| |12.7659574468085
| |
| |532zpi
| |
| |93.9836761074943
| |
| |12.7681747480009
| |
| |Has a strong zeta peak
| |
| |-
| |
| |99edo
| |
| |99
| |
| |12.1212121212121
| |
| |568zpi
| |
| |99.0473345956631
| |
| |12.1154194093028
| |
| |Has a strong zeta peak
| |
| |-
| |
| |327ed7
| |
| |116.479750184323
| |
| |10.3022198974591
| |
| |695zpi no-2 no-3 no-5 analogue
| |
| |116.481879086492
| |
| |10.3020316070705
| |
| |Has a strong no-2 no-3 no-5 zeta peak
| |
| |-
| |
| |171edo
| |
| |171
| |
| |7.01754385964912
| |
| |1114zpi
| |
| |170.995891689006
| |
| |7.01771246166817
| |
| |Exceptionally strong zeta peak
| |
| |-
| |
| |270edo
| |
| |270
| |
| |4.44444444444444
| |
| |1936zpi
| |
| |270.017794631965
| |
| |4.44415154799558
| |
| |Exceptionally strong zeta peak
| |
| |-
| |
| |311edo
| |
| |311
| |
| |3.85852090032154
| |
| |2293zpi
| |
| |311.004029926555
| |
| |3.85847090239759
| |
| |Exceptionally strong zeta peak
| |
| |-
| |
| |342edo
| |
| |342
| |
| |3.50877192982456
| |
| | colspan="3" |None
| |
| |
| |
| |-
| |
| |684edo
| |
| |684
| |
| |1.75438596491228
| |
| | colspan="3" |None
| |
| |
| |
| |}
| |
| {| class="wikitable sortable"
| |
| |+ style="font-size: 105%;" | EDRs collection & optimization
| |
| |- style="white-space: nowrap;"
| |
| ! colspan="3" | EDRs !! colspan="3" | Optimization !! Comments
| |
| |
| |
| |- style="white-space: nowrap;"
| |
| ! EDR !! Steps per octave !! Cents !! Optimization !! Steps per octave !! Cents !! Why it matters
| |
| |- | | |- |
| |7ed5/3 | | |7ed5/3 |