5- to 10-tone scales in 53edo
53edo is a strict zeta edo, which approximates the harmonic series very closely.
This article lists some 5- to 10-note scales in 53edo. The tuning of each scale degree is given in cents.
Subsets of MOS scales
Quartonic[27]
Misneb[32]
Hemikleismic[38]
Hemischis/Hemigari[29]
Orson/Orwell[31]
Kleiboh[34]
Hanson/Catakleismic/Countercata[32]
Amity/Houborizic[33]
Submajor[33]
Ditonic/Coditone[29]
Hamity[25]
Vulture/Buzzard[33]
Hemlholtz/Garibaldi/Pontiac[29]
Tricot[36]
Untriton/Aufo[35]
Parent MOS scales (for reference)
Modes of these scales are still considered to be the same scale.
Quartonic[27]
45.283018867924525
90.56603773584905
135.8490566037736
181.1320754716981
226.4150943396226
271.6981132075472
316.9811320754717
362.2641509433962
407.5471698113207
452.8301886792452
498.1132075471698
543.3962264150944
588.6792452830189
611.3207547169811
656.6037735849056
701.8867924528302
747.1698113207547
792.4528301886792
837.7358490566037
883.0188679245282
928.3018867924528
973.5849056603773
1018.8679245283018
1064.1509433962262
1109.433962264151
1154.7169811320755
1200.
Misneb[32]
45.283018867924525
67.9245283018868
113.2075471698113
158.49056603773585
181.1320754716981
226.4150943396226
271.6981132075472
294.33962264150944
339.62264150943395
384.90566037735846
407.5471698113207
452.8301886792452
498.1132075471698
520.754716981132
566.0377358490566
611.3207547169811
633.9622641509434
679.2452830188679
701.8867924528302
747.1698113207547
792.4528301886792
815.0943396226414
860.3773584905659
905.6603773584905
928.3018867924528
973.5849056603773
1018.8679245283018
1041.509433962264
1086.7924528301887
1132.0754716981132
1154.7169811320755
1200.
Hemikleismic[38]
22.641509433962263
67.9245283018868
90.56603773584905
135.8490566037736
158.49056603773585
181.1320754716981
226.4150943396226
249.0566037735849
294.33962264150944
316.9811320754717
339.62264150943395
384.90566037735846
407.5471698113207
452.8301886792452
475.47169811320754
498.1132075471698
543.3962264150944
566.0377358490566
611.3207547169811
633.9622641509434
656.6037735849056
701.8867924528302
724.5283018867924
747.1698113207547
792.4528301886792
815.0943396226414
860.3773584905659
883.0188679245282
905.6603773584905
950.9433962264151
973.5849056603773
1018.8679245283018
1041.509433962264
1064.1509433962262
1109.433962264151
1132.0754716981132
1177.3584905660377
1200.
Hemischis/Hemigari[14]
45.283018867924525
203.77358490566036
249.0566037735849
294.33962264150944
452.8301886792452
498.1132075471698
656.6037735849056
701.8867924528302
747.1698113207547
905.6603773584905
950.9433962264151
996.2264150943396
1154.7169811320755
1200.
Hemischis/Hemigari[29]
45.283018867924525
90.56603773584905
113.2075471698113
158.49056603773585
203.77358490566036
249.0566037735849
294.33962264150944
339.62264150943395
362.2641509433962
407.5471698113207
452.8301886792452
498.1132075471698
543.3962264150944
588.6792452830189
611.3207547169811
656.6037735849056
701.8867924528302
747.1698113207547
792.4528301886792
837.7358490566037
860.3773584905659
905.6603773584905
950.9433962264151
996.2264150943396
1041.509433962264
1086.7924528301887
1109.433962264151
1154.7169811320755
1200.
Orson/Orwell[22]
45.283018867924525
113.2075471698113
158.49056603773585
226.4150943396226
271.6981132075472
316.9811320754717
384.90566037735846
430.18867924528297
498.1132075471698
543.3962264150944
588.6792452830189
656.6037735849056
701.8867924528302
769.8113207547169
815.0943396226414
883.0188679245282
928.3018867924528
973.5849056603773
1041.509433962264
1086.7924528301887
1154.7169811320755
1200.
Orson/Orwell[31]
45.283018867924525
67.9245283018868
113.2075471698113
158.49056603773585
203.77358490566036
226.4150943396226
271.6981132075472
316.9811320754717
339.62264150943395
384.90566037735846
430.18867924528297
475.47169811320754
498.1132075471698
543.3962264150944
588.6792452830189
611.3207547169811
656.6037735849056
701.8867924528302
724.5283018867924
769.8113207547169
815.0943396226414
860.3773584905659
883.0188679245282
928.3018867924528
973.5849056603773
996.2264150943396
1041.509433962264
1086.7924528301887
1132.0754716981132
1154.7169811320755
1200.
Hanson/Catakleismic/Countercata[15]
67.9245283018868
181.1320754716981
249.0566037735849
316.9811320754717
384.90566037735846
498.1132075471698
566.0377358490566
633.9622641509434
701.8867924528302
815.0943396226414
883.0188679245282
950.9433962264151
1018.8679245283018
1132.0754716981132
1200.
Hanson/Catakleismic/Countercata[34]
45.283018867924525
67.9245283018868
113.2075471698113
135.8490566037736
181.1320754716981
203.77358490566036
249.0566037735849
271.6981132075472
316.9811320754717
362.2641509433962
384.90566037735846
430.18867924528297
452.8301886792452
498.1132075471698
520.754716981132
566.0377358490566
588.6792452830189
633.9622641509434
679.2452830188679
701.8867924528302
747.1698113207547
769.8113207547169
815.0943396226414
837.7358490566037
883.0188679245282
928.3018867924528
950.9433962264151
996.2264150943396
1018.8679245283018
1064.1509433962262
1086.7924528301887
1132.0754716981132
1154.7169811320755
1200.
Amity/Houborizic[11]
158.49056603773585
181.1320754716981
339.62264150943395
498.1132075471698
520.754716981132
679.2452830188679
701.8867924528302
860.3773584905659
1018.8679245283018
1041.509433962264
1200.
Amity/Houborizic[32]
22.641509433962263
45.283018867924525
135.8490566037736
158.49056603773585
181.1320754716981
203.77358490566036
294.33962264150944
316.9811320754717
339.62264150943395
362.2641509433962
384.90566037735846
475.47169811320754
498.1132075471698
520.754716981132
543.3962264150944
633.9622641509434
656.6037735849056
679.2452830188679
701.8867924528302
724.5283018867924
815.0943396226414
837.7358490566037
860.3773584905659
883.0188679245282
905.6603773584905
996.2264150943396
1018.8679245283018
1041.509433962264
1064.1509433962262
1154.7169811320755
1177.3584905660377
1200.
Submajor[23]
22.641509433962263
113.2075471698113
135.8490566037736
226.4150943396226
249.0566037735849
339.62264150943395
362.2641509433962
384.90566037735846
475.47169811320754
498.1132075471698
588.6792452830189
611.3207547169811
701.8867924528302
724.5283018867924
815.0943396226414
837.7358490566037
860.3773584905659
950.9433962264151
973.5849056603773
1064.1509433962262
1086.7924528301887
1177.3584905660377
1200.
Submajor[33]
22.641509433962263
90.56603773584905
113.2075471698113
135.8490566037736
203.77358490566036
226.4150943396226
249.0566037735849
271.6981132075472
339.62264150943395
362.2641509433962
384.90566037735846
452.8301886792452
475.47169811320754
498.1132075471698
566.0377358490566
588.6792452830189
611.3207547169811
633.9622641509434
701.8867924528302
724.5283018867924
747.1698113207547
815.0943396226414
837.7358490566037
860.3773584905659
928.3018867924528
950.9433962264151
973.5849056603773
996.2264150943396
1064.1509433962262
1086.7924528301887
1109.433962264151
1177.3584905660377
1200.
Ditonic/Coditone[29]
22.641509433962263
45.283018867924525
67.9245283018868
90.56603773584905
294.33962264150944
316.9811320754717
339.62264150943395
362.2641509433962
384.90566037735846
407.5471698113207
430.18867924528297
452.8301886792452
475.47169811320754
498.1132075471698
701.8867924528302
724.5283018867924
747.1698113207547
769.8113207547169
792.4528301886792
815.0943396226414
837.7358490566037
860.3773584905659
883.0188679245282
905.6603773584905
1109.433962264151
1132.0754716981132
1154.7169811320755
1177.3584905660377
1200.
Hamity[25]
67.9245283018868
90.56603773584905
158.49056603773585
181.1320754716981
249.0566037735849
271.6981132075472
339.62264150943395
362.2641509433962
430.18867924528297
498.1132075471698
520.754716981132
588.6792452830189
611.3207547169811
679.2452830188679
701.8867924528302
769.8113207547169
837.7358490566037
860.3773584905659
928.3018867924528
950.9433962264151
1018.8679245283018
1041.509433962264
1109.433962264151
1132.0754716981132
1200.
Vulture/Buzzard[13]
22.641509433962263
226.4150943396226
249.0566037735849
452.8301886792452
475.47169811320754
498.1132075471698
701.8867924528302
724.5283018867924
747.1698113207547
950.9433962264151
973.5849056603773
1177.3584905660377
1200.
Vulture/Buzzard[33]
22.641509433962263
45.283018867924525
67.9245283018868
181.1320754716981
203.77358490566036
226.4150943396226
249.0566037735849
271.6981132075472
294.33962264150944
407.5471698113207
430.18867924528297
452.8301886792452
475.47169811320754
498.1132075471698
520.754716981132
543.3962264150944
656.6037735849056
679.2452830188679
701.8867924528302
724.5283018867924
747.1698113207547
769.8113207547169
792.4528301886792
905.6603773584905
928.3018867924528
950.9433962264151
973.5849056603773
996.2264150943396
1018.8679245283018
1132.0754716981132
1154.7169811320755
1177.3584905660377
1200.
Hemlholtz/Garibaldi/Pontiac[29]
22.641509433962263
90.56603773584905
113.2075471698113
181.1320754716981
203.77358490566036
226.4150943396226
294.33962264150944
316.9811320754717
384.90566037735846
407.5471698113207
475.47169811320754
498.1132075471698
520.754716981132
588.6792452830189
611.3207547169811
679.2452830188679
701.8867924528302
724.5283018867924
792.4528301886792
815.0943396226414
883.0188679245282
905.6603773584905
973.5849056603773
996.2264150943396
1018.8679245283018
1086.7924528301887
1109.433962264151
1177.3584905660377
1200.
Tricot[19]
67.9245283018868
135.8490566037736
203.77358490566036
271.6981132075472
294.33962264150944
362.2641509433962
430.18867924528297
498.1132075471698
566.0377358490566
633.9622641509434
701.8867924528302
769.8113207547169
837.7358490566037
905.6603773584905
928.3018867924528
996.2264150943396
1064.1509433962262
1132.0754716981132
1200.
Tricot[36]
22.641509433962263
67.9245283018868
90.56603773584905
135.8490566037736
158.49056603773585
203.77358490566036
226.4150943396226
271.6981132075472
294.33962264150944
339.62264150943395
362.2641509433962
407.5471698113207
430.18867924528297
475.47169811320754
498.1132075471698
543.3962264150944
566.0377358490566
588.6792452830189
633.9622641509434
656.6037735849056
701.8867924528302
724.5283018867924
769.8113207547169
792.4528301886792
837.7358490566037
860.3773584905659
905.6603773584905
928.3018867924528
973.5849056603773
996.2264150943396
1041.509433962264
1064.1509433962262
1109.433962264151
1132.0754716981132
1177.3584905660377
1200.
Untriton/Aufo[35]
22.641509433962263
45.283018867924525
67.9245283018868
90.56603773584905
113.2075471698113
135.8490566037736
158.49056603773585
181.1320754716981
407.5471698113207
430.18867924528297
452.8301886792452
475.47169811320754
498.1132075471698
520.754716981132
543.3962264150944
566.0377358490566
588.6792452830189
611.3207547169811
633.9622641509434
656.6037735849056
679.2452830188679
701.8867924528302
724.5283018867924
747.1698113207547
769.8113207547169
792.4528301886792
1018.8679245283018
1041.509433962264
1064.1509433962262
1086.7924528301887
1109.433962264151
1132.0754716981132
1154.7169811320755
1177.3584905660377
1200.
Other scales
Scales in this section with similar names share some notes in common and may sound consonant together.
Composite Cliffedge (approximated from 60afdo)
271.698
498.113
701.887
1132.075
1200.000
Composite Deja Vu (approximated from 101afdo)
316.981
701.887
815.094
1018.868
1200.000
Composite Dungeon (approximated from 30afdo)
384.906
498.113
701.887
792.453
1200.000
Composite Freeway (approximated from 6afdo)
271.698
498.113
701.887
883.019
1041.509
1200.000
Composite Geode (approximated from 6afdo)
271.698
498.113
701.887
1041.509
1200.000
Composite Labyrinth (approximated from 30afdo)
158.491
316.981
701.887
815.094
1200.000
Composite Mushroom (approximated from 30afdo)
271.698
498.113
701.887
769.811
1200.000
Composite Palace (approximated from Porky in 29edo)
158.491
316.981
498.113
701.887
860.377
1018.868
1200.000
Composite Underpass (approximated from 10afdo)
316.981
701.887
928.302
1018.868
1200.000
Spectral Arcade (approximated from 32afdo)
384.906
475.472
701.887
973.585
1200.000
Spectral Mechanical (approximated from 16afdo)
294.340
384.906
701.887
973.585
1200.000
Spectral Moonbeam (approximated from 16afdo)
203.774
294.340
701.887
1086.792
1200.000
Spectral Springwater (approximated from 8afdo)
203.774
384.906
701.887
973.585
1200.000
Spectral Starship (approximated from 68ifdo)
90.566
384.906
475.472
701.887
973.585
1200.000
Spectral Volcanic (approximated from 16afdo)
113.208
384.906
701.887
973.585
1200.000