Tuning Methods

Harmonic Series Tunings

Simple Skip-sets

22- through 29-base, skip 3

A red number in the Rounded Tuning Table column flags it as beyond the +/-99 cent limit set by some hardware synthesizer tuning tables.


23-base · 25-base · 26-base · 28-base · 29-base



22-base, Skip 3
22-55
Scale
Degree
Harmonic   Ratio   QuotientCentsTuning
Table
Rounded
Tuning
Table
Gap
in
Cents
1221:110.0048.324840
24623:221.04545454576.9625.272577
34949:441.113636364186.3334.6535109
42525:221.136363636221.31-30.37-3035
55213:111.181818182289.21-62.47-6268
6555:41.25386.31-65.37-6597
72814:111.272727273417.51-134.18-13431
83131:221.409090909593.72-57.97-58176
93417:111.545454545753.641.952160
103737:221.681818182900.0348.3448146
114020:111.8181818181035.0083.3183135
124343:221.9545454551160.20108.52109125
 1200.00 

22-base · 25-base · 26-base · 28-base · 29-base



23-base, Skip 3
23-56
Scale
Degree
Harmonic   Ratio   QuotientCentsTuning
Table
Rounded
Tuning
Table
Gap
in
Cents
1231:110.0077.287777
24747:461.0217391337.2314.521537
35025:231.086956522144.3521.6422107
42626:231.130434783212.25-10.46-1068
55353:461.152173913245.23-77.49-7733
65628:231.217391304340.55-82.16-8295
72929:231.260869565401.30-121.41-12161
83232:231.391304348571.73-50.99-51170
93535:231.52173913726.874.154155
103838:231.652173913869.2446.5247142
114141:231.7826086961000.7978.0778132
124444:231.9130434781123.04100.33100122
 1200.00 

22-base · 23-base · 26-base · 28-base · 29-base



25-base, Skip 3
25-58
Scale
Degree
Harmonic   Ratio   QuotientCentsTuning
Table
Rounded
Tuning
Table
Gap
in
Cents
1251:110.0029.773035
25226:251.0467.90-2.33-268
35511:101.1165.00-5.23-597
42828:251.12196.20-74.03-7431
55829:251.16256.95-113.28-11361
63131:251.24372.41-97.82-98115
73434:251.36532.33-37.90-38160
83737:251.48678.728.498146
9408:51.6813.6943.4643135
104343:251.72938.8968.6669125
114646:251.841055.6585.4285117
124949:251.961165.0294.7995109
 1200.00 

22-base · 23-base · 25-base · 28-base · 29-base



26-base, Skip 3
26-59
Scale
Degree
Harmonic   Ratio   QuotientCentsTuning
Table
Rounded
Tuning
Table
Gap
in
Cents
1261:110.0053.635468
25353:521.01923076932.98-13.39-1333
35614:131.076923077128.30-18.07-1895
42929:261.115384615189.05-57.32-5761
55959:521.134615385218.64-127.73-12830
63216:131.230769231359.47-86.90-87141
73535:261.346153846514.61-31.76-32155
83819:131.461538462656.9910.6211142
94141:261.576923077788.5342.1642132
104422:131.692307692910.7964.4264122
114747:261.8076923081024.9878.6179114
125025:131.9230769231132.1085.7386107
 1200.00 

22-base · 23-base · 25-base · 26-base · 29-base



28-base, Skip 3
28-61
Scale
Degree
Harmonic   Ratio   QuotientCentsTuning
Table
Rounded
Tuning
Table
Gap
in
Cents
1281:110.0025.002531
25829:281.03571428660.75-14.25-1461
36161:561.089285714148.06-26.94-2787
43131:281.107142857176.21-98.79-9928
53417:141.214285714336.13-38.87-39160
63737:281.321428571482.527.528146
74010:71.428571429617.4942.4942135
84343:281.535714286742.6967.6968125
94623:141.642857143859.4584.4584117
104949:281.75968.8393.8394109
115213:71.8571428571071.7096.7097103
125555:281.9642857141168.8193.819497
 1200.00 

22-base · 23-base · 25-base · 26-base · 28-base



29-base, Skip 3
29-62
Scale
Degree
Harmonic   Ratio   QuotientCentsTuning
Table
Rounded
Tuning
Table
Gap
in
Cents
1291:110.0053.635461
25959:581.01724137929.59-16.78-1730
36231:291.068965517115.46-30.91-3186
43232:291.103448276170.42-75.95-7655
53535:291.206896552325.56-20.81-21155
63838:291.310344828467.9421.5722142
74141:291.413793103599.4953.1253132
84444:291.517241379721.7475.3775122
94747:291.620689655835.9389.5690114
105050:291.724137931943.0596.6897107
115353:291.8275862071043.9397.5698101
125656:291.9310344831139.2592.889395
 1200.00 


Copyright 2005 by David J. Finnamore
All rights reserved.
tuning@elvenminstrel.com