Tuning Methods

Harmonic Series Tunings

Simple Skip-sets

31- through 38-base, skip 3

 

32-base · 34-base · 35-base · 37-base · 38-base



31-base, Skip 3
31-64
Scale
Degree
Harmonic   Ratio   QuotientCentsTuning
Table
Rounded
Tuning
Table
Gap
in
Cents
1311:110.00-45.77-4628
26432:311.03225806554.96-90.81-9155
33434:311.096774194159.92-85.85-86105
43737:311.193548387306.31-39.47-39146
54040:311.290322581441.28-4.50-4135
64343:311.387096774566.4820.7121125
74646:311.483870968683.2437.4637117
84949:311.580645161792.6246.8447109
95252:311.677419355895.4949.7250103
105555:311.774193548992.6046.824797
115858:311.8709677421084.5438.773992
126161:311.9677419351171.8526.082687
 1200.00 

31-base · 34-base · 35-base · 37-base · 38-base



32-base, Skip 3
32-65
Scale
Degree
Harmonic   Ratio   QuotientCentsTuning
Table
Rounded
Tuning
Table
Gap
in
Cents
1321:110.00-25.71-2655
26565:641.01562526.84-98.87-9927
33535:321.09375155.14-70.57-71128
43819:161.1875297.51-28.20-28142
54141:321.28125429.063.353132
64411:81.375551.3225.6126122
74747:321.46875665.5139.7940114
85025:161.5625772.6346.9247107
95353:321.65625873.5047.7948101
10567:41.75968.8343.114395
115959:321.843751059.1733.463390
126231:161.93751145.0419.321986
 1200.00 

31-base · 32-base · 35-base · 37-base · 38-base



34-base, Skip 3
34-67
Scale
Degree
Harmonic   Ratio   QuotientCentsTuning
Table
Rounded
Tuning
Table
Gap
in
Cents
1341:110.00-97.04-9726
23737:341.088235294146.39-50.65-51146
34020:171.176470588281.36-15.69-16135
44343:341.264705882406.569.5210125
54623:171.352941176523.3226.2826117
64949:341.441176471632.7035.6536109
75226:171.529411765735.5738.5339103
85555:341.617647059832.6835.633697
95829:171.705882353924.6227.582892
106161:341.7941176471011.9314.891587
116432:171.8823529411095.04-2.00-283
126767:341.9705882351174.35-22.69-2379
 1200.00 

31-base · 32-base · 34-base · 37-base · 38-base



35-base, Skip 3
35-68
Scale
Degree
Harmonic   Ratio   QuotientCentsTuning
Table
Rounded
Tuning
Table
Gap
in
Cents
1351:110.00-82.32-8250
23838:351.085714286142.37-39.95-40142
34141:351.171428571273.92-8.40-8132
44444:351.257142857396.1813.8614122
54747:351.342857143510.3728.0528114
65010:71.428571429617.4935.1735107
75353:351.514285714718.3636.0536101
8568:51.6813.6931.373195
95959:351.685714286904.0321.712290
106262:351.771428571989.907.58886
116513:71.8571428571071.70-10.62-1182
126868:351.9428571431149.82-32.50-3378
 1200.00 

31-base · 32-base · 34-base · 35-base · 38-base



37-base, Skip 3
37-70
Scale
Degree
Harmonic   Ratio   QuotientCentsTuning
Table
Rounded
Tuning
Table
Gap
in
Cents
1371:110.00-54.84-5596
24040:371.081081081134.97-19.87-20135
34343:371.162162162260.175.345125
44646:371.243243243376.9322.0922117
54949:371.324324324486.3131.4731109
65252:371.405405405589.1834.3534103
75555:371.486486486686.2931.453197
85858:371.567567568778.2323.402392
96161:371.648648649865.5410.701187
106464:371.72972973948.66-6.18-683
116767:371.8108108111027.96-26.87-2779
127070:371.8918918921103.80-51.04-5176
 1200.00 

31-base · 32-base · 34-base · 35-base · 37-base



38-base, Skip 3
38-71
Scale
Degree
Harmonic   Ratio   QuotientCentsTuning
Table
Rounded
Tuning
Table
Gap
in
Cents
1381:110.00-41.99-42118
24141:381.078947368131.55-10.44-10132
34422:191.157894737253.8011.8112122
44747:381.236842105367.9926.0026114
55025:191.315789474475.1133.1233107
65353:381.394736842575.9934.0034101
75628:191.473684211671.3129.322995
85959:381.552631579761.6619.672090
96231:191.631578947847.525.53686
106565:381.710526316929.33-12.66-1382
116834:191.7894736841007.44-34.55-3578
127171:381.8684210531082.18-59.81-6075
 1200.00 


Copyright 2005 by David J. Finnamore
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tuning@elvenminstrel.com