Paul Erlich Commas, Temperaments, and Scales with particular

Pentatonic: 0 193.44 504.13 697.57 1008.26 (1201.7) Diatonic: 0 193.44 310.69 504.13 697.57

Porcupine Octatonic: 0 162.32 324.64 486.96 649.28 709.95 872.27 1034.59 (1196.91)

<-Meantone-> <-Porcupine-> <-Augmented-> <-Diminished-> <-Mavila-> <-Srutal-> {2,3,5} projective tuning space

TOP BP Diatonic 0 141.65 440.43 582.08 880.86 1022.51 1321.29 1462.94 1761.72 (1903.37)

TOP Sirius-7 0 293.6 587.2 880.8 1022.6 1316.2 1609.8 (1903.4) TOP Sirius-13 0 141.8

TOP Canopus-7 0 150.19 583.79 733.98 1167.58 1317.77 1751.37 (1901.56) TOP Canopus-10 0

TOP Arcturus-7 0 145.19 734.2 879.39 1024.58 1169.77 1758.78 (1903.97) TOP Arcturus-9 0 145.19

{3,5,7} projective tuning space <-BP-> <-Sirius-> <-Canopus-> <-Arcturus-> <-Toliman-> <-Vega->

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>Paul Erlich Commas, Temperaments, and Scales with particular attention to the BP Diatonic Paul Erlich Commas, Temperaments, and Scales with particular attention to the BP Diatonic

>Pentatonic: 0 193.44 504.13 697.57 1008.26 (1201.7) Diatonic: 0 193.44 310.69 504.13 697.57 Pentatonic: 0 193.44 504.13 697.57 1008.26 (1201.7) Diatonic: 0 193.44 310.69 504.13 697.57 891.01 1008.26 (1201.7) Chromatic: 0 117.25 193.44 310.69 386.88 504.13 580.32 697.57 814.82 891.01 1008.26 1084.45 (1201.7)

>Porcupine – 8 Porcupine – 8

>Porcupine Octatonic: 0 162.32 324.64 486.96 649.28 709.95 872.27 1034.59 (1196.91) Porcupine Octatonic: 0 162.32 324.64 486.96 649.28 709.95 872.27 1034.59 (1196.91)

><-Meantone-> <-Porcupine-> <-Augmented-> <-Diminished-> <-Mavila-> <-Srutal-> {2,3,5} projective tuning space <-Meantone-> <-Porcupine-> <-Augmented-> <-Diminished-> <-Mavila-> <-Srutal-> {2,3,5} projective tuning space

>1 2 3 4 5 6 1 C J E B J E B 1 2 3 4 5 6 1 C J E B J E B G E A G E A G C J G C J E C 1. 2. 3. 4. 5. 6. 1.

>TOP BP Diatonic 0 141.65 440.43 582.08 880.86 1022.51 1321.29 1462.94 1761.72 (1903.37) TOP BP Diatonic 0 141.65 440.43 582.08 880.86 1022.51 1321.29 1462.94 1761.72 (1903.37) TOP BP Pentatonic 0 440.43 880.86 1022.51 1462.94 (1903.37) TOP BP Chromatic 0 141.65 298.78 440.43 582.08 739.21 880.86 1022.51 1164.16 1321.29 1462.94 1604.59 1761.72 (1903.37)

>TOP Sirius-7 0 293.6 587.2 880.8 1022.6 1316.2 1609.8 (1903.4) TOP Sirius-13 0 141.8 TOP Sirius-7 0 293.6 587.2 880.8 1022.6 1316.2 1609.8 (1903.4) TOP Sirius-13 0 141.8 293.6 435.4 587.2 729 880.8 1022.6 1174.4 1316.2 1458 1609.8 1761.5 (1903.4)

>TOP Canopus-7 0 150.19 583.79 733.98 1167.58 1317.77 1751.37 (1901.56) TOP Canopus-10 0 TOP Canopus-7 0 150.19 583.79 733.98 1167.58 1317.77 1751.37 (1901.56) TOP Canopus-10 0 150.19 433.6 583.79 733.98 1017.39 1167.58 1317.77 1467.96 1751.37 (1901.56) TOP Canopus-13 0 150.19 300.38 433.6 583.79 733.98 884.17 1017.39 1167.58 1317.77 1467.96 1601.16 1751.37 (1901.56)

>TOP Arcturus-7 0 145.19 734.2 879.39 1024.58 1169.77 1758.78 (1903.97) TOP Arcturus-9 0 145.19 TOP Arcturus-7 0 145.19 734.2 879.39 1024.58 1169.77 1758.78 (1903.97) TOP Arcturus-9 0 145.19 290.38 734.2 879.39 1024.58 1169.77 1613.59 1758.78 (1903.97) TOP Arcturus-13 0 145.19 290.38 435.57 589.01 734.2 879.39 1024.58 1169.77 1314.96 1468.4 1613.59 1758.78 (1903.97)

>{3,5,7} projective tuning space <-BP-> <-Sirius-> <-Canopus-> <-Arcturus-> <-Toliman-> <-Vega-> {3,5,7} projective tuning space <-BP-> <-Sirius-> <-Canopus-> <-Arcturus-> <-Toliman-> <-Vega->