Self Similar Non-Octave Scales: JI Ratios

Self Similar Non-Octave Scales: JI Ratios

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For those following the Self Similar Scale posts:

/tuning/topicId_18578.html#18578

/tuning/topicId_18578.html#18612

/tuning/topicId_18622.html#18622

Here are three non-octave scales based on simple Just Intonation
ratio, for those with more harmonic sensibilities and needs:

25 Tone Non-Octave Self Similar Scale, Based on Chain of Five 3/2
Fifths

Cents Consecutive
0
2.889 2.889
5.777 2.889
8.666 2.889
17.332 8.666
25.998 8.666
51.997 25.998
77.995 25.998
155.990 77.995
233.985 77.995
467.970 233.985
701.955 233.985
1403.910 701.955
2105.865 701.955
2807.820 701.955
3041.805 233.985
3275.790 233.985
3353.785 77.995
3431.780 77.995
3457.778 25.998
3483.777 25.998
3492.443 8.666
3501.109 8.666
3503.998 2.889
3506.886 2.889
3509.775 2.889

25 Tone Non-Octave Self Similar Scale, Based on Chain of Five 5/4
Major Thirds

Cents Consecutive
0
1.590 1.590
3.180 1.590
4.769 1.590
9.539 4.769
14.308 4.769
28.616 14.308
42.924 14.308
85.847 42.924
128.771 42.924
257.542 128.771
386.314 128.771
772.627 386.314
1158.941 386.314
1545.255 386.314
1674.026 128.771
1802.797 128.771
1845.721 42.924
1888.645 42.924
1902.953 14.308
1917.261 14.308
1922.030 4.769
1926.799 4.769
1928.389 1.590
1929.979 1.590
1931.569 1.590

25 Tone Non-Octave Self Similar Scale, Based on Chain of Five 6/5
Minor Thirds

Cents Consecutive
0
1.299 1.299
2.598 1.299
3.897 1.299
7.794 3.897
11.690 3.897
23.381 11.690
35.071 11.690
70.143 35.071
105.214 35.071
210.428 105.214
315.641 105.214
631.283 315.641
946.924 315.641
1262.565 315.641
1367.779 105.214
1472.993 105.214
1508.064 35.071
1543.135 35.071
1554.826 11.690
1566.516 11.690
1570.413 3.897
1574.310 3.897
1575.609 1.299
1576.907 1.299
1578.206 1.299

Thanks,
and enjoy,

Jacky Ligon