Scala analysis: edo-42
42 equal divisions of the octave
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 28.571 cents 28.571429 2: 57.143 cents 57.142857 3: 85.714 cents 85.714286 4: 114.286 cents 114.285714 5: 142.857 cents 142.857143 6: 171.429 cents 171.428571 7: 200.000 cents 200.000000 8: 228.571 cents 228.571429 9: 257.143 cents 257.142857 10: 285.714 cents 285.714286 11: 314.286 cents 314.285714 12: 342.857 cents 342.857143 13: 371.429 cents 371.428571 14: 400.000 cents 400.000000 15: 428.571 cents 428.571429 16: 457.143 cents 457.142857 17: 485.714 cents 485.714286 18: 514.286 cents 514.285714 19: 542.857 cents 542.857143 20: 571.429 cents 571.428571 21: 600.000 cents 600.000000 22: 628.571 cents 628.571429 23: 657.143 cents 657.142857 24: 685.714 cents 685.714286 25: 714.286 cents 714.285714 26: 742.857 cents 742.857143 27: 771.429 cents 771.428571 28: 800.000 cents 800.000000 29: 828.571 cents 828.571429 30: 857.143 cents 857.142857 31: 885.714 cents 885.714286 32: 914.286 cents 914.285714 33: 942.857 cents 942.857143 34: 971.429 cents 971.428571 35: 1000.000 cents 1000.000000 36: 1028.571 cents 1028.571429 37: 1057.143 cents 1057.142857 38: 1085.714 cents 1085.714286 39: 1114.286 cents 1114.285714 40: 1142.857 cents 1142.857143 41: 1171.429 cents 1171.428571 42: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 28.5714 cents 28.5714 1: 28.5714 cents 28.5714 2: 28.5714 cents 28.5714 3: 28.5714 cents 28.5714 4: 28.5714 cents 28.5714 5: 28.5714 cents 28.5714 6: 28.5714 cents 28.5714 7: 28.5714 cents 28.5714 8: 28.5714 cents 28.5714 9: 28.5714 cents 28.5714 10: 28.5714 cents 28.5714 11: 28.5714 cents 28.5714 12: 28.5714 cents 28.5714 13: 28.5714 cents 28.5714 14: 28.5714 cents 28.5714 15: 28.5714 cents 28.5714 16: 28.5714 cents 28.5714 17: 28.5714 cents 28.5714 18: 28.5714 cents 28.5714 19: 28.5714 cents 28.5714 20: 28.5714 cents 28.5714 21: 28.5714 cents 28.5714 22: 28.5714 cents 28.5714 23: 28.5714 cents 28.5714 24: 28.5714 cents 28.5714 25: 28.5714 cents 28.5714 26: 28.5714 cents 28.5714 27: 28.5714 cents 28.5714 28: 28.5714 cents 28.5714 29: 28.5714 cents 28.5714 30: 28.5714 cents 28.5714 31: 28.5714 cents 28.5714 32: 28.5714 cents 28.5714 33: 28.5714 cents 28.5714 34: 28.5714 cents 28.5714 35: 28.5714 cents 28.5714 36: 28.5714 cents 28.5714 37: 28.5714 cents 28.5714 38: 28.5714 cents 28.5714 39: 28.5714 cents 28.5714 40: 28.5714 cents 28.5714 41: 28.5714 cents 28.5714 42: 28.5714 cents 28.5714
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 42 28.57143 cents 2: 42 57.14286 cents 3: 42 85.71429 cents 4: 42 114.28571 cents 5: 42 142.85714 cents 6: 42 171.42857 cents 7: 42 200.00000 cents 8: 42 228.57143 cents 9: 42 257.14286 cents 10: 42 285.71429 cents 11: 42 314.28571 cents 12: 42 342.85714 cents 13: 42 371.42857 cents 14: 42 400.00000 cents 15: 42 428.57143 cents 16: 42 457.14286 cents 17: 42 485.71429 cents 18: 42 514.28571 cents 19: 42 542.85714 cents 20: 42 571.42857 cents 21: 42 600.00000 cents 22: 42 628.57143 cents 23: 42 657.14286 cents 24: 42 685.71429 cents 25: 42 714.28571 cents 26: 42 742.85714 cents 27: 42 771.42857 cents 28: 42 800.00000 cents 29: 42 828.57143 cents 30: 42 857.14286 cents 31: 42 885.71429 cents 32: 42 914.28571 cents 33: 42 942.85714 cents 34: 42 971.42857 cents 35: 42 1000.00000 cents 36: 42 1028.57143 cents 37: 42 1057.14286 cents 38: 42 1085.71429 cents 39: 42 1114.28571 cents 40: 42 1142.85714 cents 41: 42 1171.42857 cents Only one interval per interval class, scale is equal tempered Average number of different intervals per interval class: 1.00000 = 1
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 0.0 : 28.6 57.1 85.7 114.3 142.9 171.4 200.0 228.6 257.1 285.7 314.3 342.9 371.4 400.0 428.6 457.1 485.7 514.3 542.9 571.4 600.0 628.6 657.1 685.7 714.3 742.9 771.4 800.0 828.6 857.1 885.7 914.3 942.9 971.4 1000.0 1028.6 1057.1 1085.7 1114.3 1142.9 1171.4 1200.0 28.6 : 28.6 57.1 85.7 114.3 142.9 171.4 200.0 228.6 257.1 285.7 314.3 342.9 371.4 400.0 428.6 457.1 485.7 514.3 542.9 571.4 600.0 628.6 657.1 685.7 714.3 742.9 771.4 800.0 828.6 857.1 885.7 914.3 942.9 971.4 1000.0 1028.6 1057.1 1085.7 1114.3 1142.9 1171.4 1200.0 57.1 : 28.6 57.1 85.7 114.3 142.9 171.4 200.0 228.6 257.1 285.7 314.3 342.9 371.4 400.0 428.6 457.1 485.7 514.3 542.9 571.4 600.0 628.6 657.1 685.7 714.3 742.9 771.4 800.0 828.6 857.1 885.7 914.3 942.9 971.4 1000.0 1028.6 1057.1 1085.7 1114.3 1142.9 1171.4 1200.0 85.7 : 28.6 57.1 85.7 114.3 142.9 171.4 200.0 228.6 257.1 285.7 314.3 342.9 371.4 400.0 428.6 457.1 485.7 514.3 542.9 571.4 600.0 628.6 657.1 685.7 714.3 742.9 771.4 800.0 828.6 857.1 885.7 914.3 942.9 971.4 1000.0 1028.6 1057.1 1085.7 1114.3 1142.9 1171.4 1200.0 114.3 : 28.6 57.1 85.7 114.3 142.9 171.4 200.0 228.6 257.1 285.7 314.3 342.9 371.4 400.0 428.6 457.1 485.7 514.3 542.9 571.4 600.0 628.6 657.1 685.7 714.3 742.9 771.4 800.0 828.6 857.1 885.7 914.3 942.9 971.4 1000.0 1028.6 1057.1 1085.7 1114.3 1142.9 1171.4 1200.0 142.9 : 28.6 57.1 85.7 114.3 142.9 171.4 200.0 228.6 257.1 285.7 314.3 342.9 371.4 400.0 428.6 457.1 485.7 514.3 542.9 571.4 600.0 628.6 657.1 685.7 714.3 742.9 771.4 800.0 828.6 857.1 885.7 914.3 942.9 971.4 1000.0 1028.6 1057.1 1085.7 1114.3 1142.9 1171.4 1200.0 171.4 : 28.6 57.1 85.7 114.3 142.9 171.4 200.0 228.6 257.1 285.7 314.3 342.9 371.4 400.0 428.6 457.1 485.7 514.3 542.9 571.4 600.0 628.6 657.1 685.7 714.3 742.9 771.4 800.0 828.6 857.1 885.7 914.3 942.9 971.4 1000.0 1028.6 1057.1 1085.7 1114.3 1142.9 1171.4 1200.0 200.0 : 28.6 57.1 85.7 114.3 142.9 171.4 200.0 228.6 257.1 285.7 314.3 342.9 371.4 400.0 428.6 457.1 485.7 514.3 542.9 571.4 600.0 628.6 657.1 685.7 714.3 742.9 771.4 800.0 828.6 857.1 885.7 914.3 942.9 971.4 1000.0 1028.6 1057.1 1085.7 1114.3 1142.9 1171.4 1200.0 228.6 : 28.6 57.1 85.7 114.3 142.9 171.4 200.0 228.6 257.1 285.7 314.3 342.9 371.4 400.0 428.6 457.1 485.7 514.3 542.9 571.4 600.0 628.6 657.1 685.7 714.3 742.9 771.4 800.0 828.6 857.1 885.7 914.3 942.9 971.4 1000.0 1028.6 1057.1 1085.7 1114.3 1142.9 1171.4 1200.0 257.1 : 28.6 57.1 85.7 114.3 142.9 171.4 200.0 228.6 257.1 285.7 314.3 342.9 371.4 400.0 428.6 457.1 485.7 514.3 542.9 571.4 600.0 628.6 657.1 685.7 714.3 742.9 771.4 800.0 828.6 857.1 885.7 914.3 942.9 971.4 1000.0 1028.6 1057.1 1085.7 1114.3 1142.9 1171.4 1200.0 285.7 : 28.6 57.1 85.7 114.3 142.9 171.4 200.0 228.6 257.1 285.7 314.3 342.9 371.4 400.0 428.6 457.1 485.7 514.3 542.9 571.4 600.0 628.6 657.1 685.7 714.3 742.9 771.4 800.0 828.6 857.1 885.7 914.3 942.9 971.4 1000.0 1028.6 1057.1 1085.7 1114.3 1142.9 1171.4 1200.0 314.3 : 28.6 57.1 85.7 114.3 142.9 171.4 200.0 228.6 257.1 285.7 314.3 342.9 371.4 400.0 428.6 457.1 485.7 514.3 542.9 571.4 600.0 628.6 657.1 685.7 714.3 742.9 771.4 800.0 828.6 857.1 885.7 914.3 942.9 971.4 1000.0 1028.6 1057.1 1085.7 1114.3 1142.9 1171.4 1200.0 342.9 : 28.6 57.1 85.7 114.3 142.9 171.4 200.0 228.6 257.1 285.7 314.3 342.9 371.4 400.0 428.6 457.1 485.7 514.3 542.9 571.4 600.0 628.6 657.1 685.7 714.3 742.9 771.4 800.0 828.6 857.1 885.7 914.3 942.9 971.4 1000.0 1028.6 1057.1 1085.7 1114.3 1142.9 1171.4 1200.0 371.4 : 28.6 57.1 85.7 114.3 142.9 171.4 200.0 228.6 257.1 285.7 314.3 342.9 371.4 400.0 428.6 457.1 485.7 514.3 542.9 571.4 600.0 628.6 657.1 685.7 714.3 742.9 771.4 800.0 828.6 857.1 885.7 914.3 942.9 971.4 1000.0 1028.6 1057.1 1085.7 1114.3 1142.9 1171.4 1200.0 400.0 : 28.6 57.1 85.7 114.3 142.9 171.4 200.0 228.6 257.1 285.7 314.3 342.9 371.4 400.0 428.6 457.1 485.7 514.3 542.9 571.4 600.0 628.6 657.1 685.7 714.3 742.9 771.4 800.0 828.6 857.1 885.7 914.3 942.9 971.4 1000.0 1028.6 1057.1 1085.7 1114.3 1142.9 1171.4 1200.0 428.6 : 28.6 57.1 85.7 114.3 142.9 171.4 200.0 228.6 257.1 285.7 314.3 342.9 371.4 400.0 428.6 457.1 485.7 514.3 542.9 571.4 600.0 628.6 657.1 685.7 714.3 742.9 771.4 800.0 828.6 857.1 885.7 914.3 942.9 971.4 1000.0 1028.6 1057.1 1085.7 1114.3 1142.9 1171.4 1200.0 457.1 : 28.6 57.1 85.7 114.3 142.9 171.4 200.0 228.6 257.1 285.7 314.3 342.9 371.4 400.0 428.6 457.1 485.7 514.3 542.9 571.4 600.0 628.6 657.1 685.7 714.3 742.9 771.4 800.0 828.6 857.1 885.7 914.3 942.9 971.4 1000.0 1028.6 1057.1 1085.7 1114.3 1142.9 1171.4 1200.0 485.7 : 28.6 57.1 85.7 114.3 142.9 171.4 200.0 228.6 257.1 285.7 314.3 342.9 371.4 400.0 428.6 457.1 485.7 514.3 542.9 571.4 600.0 628.6 657.1 685.7 714.3 742.9 771.4 800.0 828.6 857.1 885.7 914.3 942.9 971.4 1000.0 1028.6 1057.1 1085.7 1114.3 1142.9 1171.4 1200.0 514.3 : 28.6 57.1 85.7 114.3 142.9 171.4 200.0 228.6 257.1 285.7 314.3 342.9 371.4 400.0 428.6 457.1 485.7 514.3 542.9 571.4 600.0 628.6 657.1 685.7 714.3 742.9 771.4 800.0 828.6 857.1 885.7 914.3 942.9 971.4 1000.0 1028.6 1057.1 1085.7 1114.3 1142.9 1171.4 1200.0 542.9 : 28.6 57.1 85.7 114.3 142.9 171.4 200.0 228.6 257.1 285.7 314.3 342.9 371.4 400.0 428.6 457.1 485.7 514.3 542.9 571.4 600.0 628.6 657.1 685.7 714.3 742.9 771.4 800.0 828.6 857.1 885.7 914.3 942.9 971.4 1000.0 1028.6 1057.1 1085.7 1114.3 1142.9 1171.4 1200.0 571.4 : 28.6 57.1 85.7 114.3 142.9 171.4 200.0 228.6 257.1 285.7 314.3 342.9 371.4 400.0 428.6 457.1 485.7 514.3 542.9 571.4 600.0 628.6 657.1 685.7 714.3 742.9 771.4 800.0 828.6 857.1 885.7 914.3 942.9 971.4 1000.0 1028.6 1057.1 1085.7 1114.3 1142.9 1171.4 1200.0 600.0 : 28.6 57.1 85.7 114.3 142.9 171.4 200.0 228.6 257.1 285.7 314.3 342.9 371.4 400.0 428.6 457.1 485.7 514.3 542.9 571.4 600.0 628.6 657.1 685.7 714.3 742.9 771.4 800.0 828.6 857.1 885.7 914.3 942.9 971.4 1000.0 1028.6 1057.1 1085.7 1114.3 1142.9 1171.4 1200.0 628.6 : 28.6 57.1 85.7 114.3 142.9 171.4 200.0 228.6 257.1 285.7 314.3 342.9 371.4 400.0 428.6 457.1 485.7 514.3 542.9 571.4 600.0 628.6 657.1 685.7 714.3 742.9 771.4 800.0 828.6 857.1 885.7 914.3 942.9 971.4 1000.0 1028.6 1057.1 1085.7 1114.3 1142.9 1171.4 1200.0 657.1 : 28.6 57.1 85.7 114.3 142.9 171.4 200.0 228.6 257.1 285.7 314.3 342.9 371.4 400.0 428.6 457.1 485.7 514.3 542.9 571.4 600.0 628.6 657.1 685.7 714.3 742.9 771.4 800.0 828.6 857.1 885.7 914.3 942.9 971.4 1000.0 1028.6 1057.1 1085.7 1114.3 1142.9 1171.4 1200.0 685.7 : 28.6 57.1 85.7 114.3 142.9 171.4 200.0 228.6 257.1 285.7 314.3 342.9 371.4 400.0 428.6 457.1 485.7 514.3 542.9 571.4 600.0 628.6 657.1 685.7 714.3 742.9 771.4 800.0 828.6 857.1 885.7 914.3 942.9 971.4 1000.0 1028.6 1057.1 1085.7 1114.3 1142.9 1171.4 1200.0 714.3 : 28.6 57.1 85.7 114.3 142.9 171.4 200.0 228.6 257.1 285.7 314.3 342.9 371.4 400.0 428.6 457.1 485.7 514.3 542.9 571.4 600.0 628.6 657.1 685.7 714.3 742.9 771.4 800.0 828.6 857.1 885.7 914.3 942.9 971.4 1000.0 1028.6 1057.1 1085.7 1114.3 1142.9 1171.4 1200.0 742.9 : 28.6 57.1 85.7 114.3 142.9 171.4 200.0 228.6 257.1 285.7 314.3 342.9 371.4 400.0 428.6 457.1 485.7 514.3 542.9 571.4 600.0 628.6 657.1 685.7 714.3 742.9 771.4 800.0 828.6 857.1 885.7 914.3 942.9 971.4 1000.0 1028.6 1057.1 1085.7 1114.3 1142.9 1171.4 1200.0 771.4 : 28.6 57.1 85.7 114.3 142.9 171.4 200.0 228.6 257.1 285.7 314.3 342.9 371.4 400.0 428.6 457.1 485.7 514.3 542.9 571.4 600.0 628.6 657.1 685.7 714.3 742.9 771.4 800.0 828.6 857.1 885.7 914.3 942.9 971.4 1000.0 1028.6 1057.1 1085.7 1114.3 1142.9 1171.4 1200.0 800.0 : 28.6 57.1 85.7 114.3 142.9 171.4 200.0 228.6 257.1 285.7 314.3 342.9 371.4 400.0 428.6 457.1 485.7 514.3 542.9 571.4 600.0 628.6 657.1 685.7 714.3 742.9 771.4 800.0 828.6 857.1 885.7 914.3 942.9 971.4 1000.0 1028.6 1057.1 1085.7 1114.3 1142.9 1171.4 1200.0 828.6 : 28.6 57.1 85.7 114.3 142.9 171.4 200.0 228.6 257.1 285.7 314.3 342.9 371.4 400.0 428.6 457.1 485.7 514.3 542.9 571.4 600.0 628.6 657.1 685.7 714.3 742.9 771.4 800.0 828.6 857.1 885.7 914.3 942.9 971.4 1000.0 1028.6 1057.1 1085.7 1114.3 1142.9 1171.4 1200.0 857.1 : 28.6 57.1 85.7 114.3 142.9 171.4 200.0 228.6 257.1 285.7 314.3 342.9 371.4 400.0 428.6 457.1 485.7 514.3 542.9 571.4 600.0 628.6 657.1 685.7 714.3 742.9 771.4 800.0 828.6 857.1 885.7 914.3 942.9 971.4 1000.0 1028.6 1057.1 1085.7 1114.3 1142.9 1171.4 1200.0 885.7 : 28.6 57.1 85.7 114.3 142.9 171.4 200.0 228.6 257.1 285.7 314.3 342.9 371.4 400.0 428.6 457.1 485.7 514.3 542.9 571.4 600.0 628.6 657.1 685.7 714.3 742.9 771.4 800.0 828.6 857.1 885.7 914.3 942.9 971.4 1000.0 1028.6 1057.1 1085.7 1114.3 1142.9 1171.4 1200.0 914.3 : 28.6 57.1 85.7 114.3 142.9 171.4 200.0 228.6 257.1 285.7 314.3 342.9 371.4 400.0 428.6 457.1 485.7 514.3 542.9 571.4 600.0 628.6 657.1 685.7 714.3 742.9 771.4 800.0 828.6 857.1 885.7 914.3 942.9 971.4 1000.0 1028.6 1057.1 1085.7 1114.3 1142.9 1171.4 1200.0 942.9 : 28.6 57.1 85.7 114.3 142.9 171.4 200.0 228.6 257.1 285.7 314.3 342.9 371.4 400.0 428.6 457.1 485.7 514.3 542.9 571.4 600.0 628.6 657.1 685.7 714.3 742.9 771.4 800.0 828.6 857.1 885.7 914.3 942.9 971.4 1000.0 1028.6 1057.1 1085.7 1114.3 1142.9 1171.4 1200.0 971.4 : 28.6 57.1 85.7 114.3 142.9 171.4 200.0 228.6 257.1 285.7 314.3 342.9 371.4 400.0 428.6 457.1 485.7 514.3 542.9 571.4 600.0 628.6 657.1 685.7 714.3 742.9 771.4 800.0 828.6 857.1 885.7 914.3 942.9 971.4 1000.0 1028.6 1057.1 1085.7 1114.3 1142.9 1171.4 1200.0 1000.0: 28.6 57.1 85.7 114.3 142.9 171.4 200.0 228.6 257.1 285.7 314.3 342.9 371.4 400.0 428.6 457.1 485.7 514.3 542.9 571.4 600.0 628.6 657.1 685.7 714.3 742.9 771.4 800.0 828.6 857.1 885.7 914.3 942.9 971.4 1000.0 1028.6 1057.1 1085.7 1114.3 1142.9 1171.4 1200.0 1028.6: 28.6 57.1 85.7 114.3 142.9 171.4 200.0 228.6 257.1 285.7 314.3 342.9 371.4 400.0 428.6 457.1 485.7 514.3 542.9 571.4 600.0 628.6 657.1 685.7 714.3 742.9 771.4 800.0 828.6 857.1 885.7 914.3 942.9 971.4 1000.0 1028.6 1057.1 1085.7 1114.3 1142.9 1171.4 1200.0 1057.1: 28.6 57.1 85.7 114.3 142.9 171.4 200.0 228.6 257.1 285.7 314.3 342.9 371.4 400.0 428.6 457.1 485.7 514.3 542.9 571.4 600.0 628.6 657.1 685.7 714.3 742.9 771.4 800.0 828.6 857.1 885.7 914.3 942.9 971.4 1000.0 1028.6 1057.1 1085.7 1114.3 1142.9 1171.4 1200.0 1085.7: 28.6 57.1 85.7 114.3 142.9 171.4 200.0 228.6 257.1 285.7 314.3 342.9 371.4 400.0 428.6 457.1 485.7 514.3 542.9 571.4 600.0 628.6 657.1 685.7 714.3 742.9 771.4 800.0 828.6 857.1 885.7 914.3 942.9 971.4 1000.0 1028.6 1057.1 1085.7 1114.3 1142.9 1171.4 1200.0 1114.3: 28.6 57.1 85.7 114.3 142.9 171.4 200.0 228.6 257.1 285.7 314.3 342.9 371.4 400.0 428.6 457.1 485.7 514.3 542.9 571.4 600.0 628.6 657.1 685.7 714.3 742.9 771.4 800.0 828.6 857.1 885.7 914.3 942.9 971.4 1000.0 1028.6 1057.1 1085.7 1114.3 1142.9 1171.4 1200.0 1142.9: 28.6 57.1 85.7 114.3 142.9 171.4 200.0 228.6 257.1 285.7 314.3 342.9 371.4 400.0 428.6 457.1 485.7 514.3 542.9 571.4 600.0 628.6 657.1 685.7 714.3 742.9 771.4 800.0 828.6 857.1 885.7 914.3 942.9 971.4 1000.0 1028.6 1057.1 1085.7 1114.3 1142.9 1171.4 1200.0 1171.4: 28.6 57.1 85.7 114.3 142.9 171.4 200.0 228.6 257.1 285.7 314.3 342.9 371.4 400.0 428.6 457.1 485.7 514.3 542.9 571.4 600.0 628.6 657.1 685.7 714.3 742.9 771.4 800.0 828.6 857.1 885.7 914.3 942.9 971.4 1000.0 1028.6 1057.1 1085.7 1114.3 1142.9 1171.4 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 28.5714 .. 28.5714 cents 1/1, 0.0000 cents 28.57143 cents 2: 57.1429 .. 57.1429 cents 1/1, 0.0000 cents 28.57143 cents 3: 85.7143 .. 85.7143 cents 1/1, 0.0000 cents 28.57143 cents 4: 114.2857 .. 114.2857 cents 1/1, 0.0000 cents 28.57143 cents 5: 142.8571 .. 142.8571 cents 1/1, 0.0000 cents 28.57143 cents 6: 171.4286 .. 171.4286 cents 1/1, 0.0000 cents 28.57143 cents 7: 200.0000 .. 200.0000 cents 1/1, 0.0000 cents 28.57143 cents 8: 228.5714 .. 228.5714 cents 1/1, 0.0000 cents 28.57143 cents 9: 257.1429 .. 257.1429 cents 1/1, 0.0000 cents 28.57143 cents 10: 285.7143 .. 285.7143 cents 1/1, 0.0000 cents 28.57143 cents 11: 314.2857 .. 314.2857 cents 1/1, 0.0000 cents 28.57143 cents 12: 342.8571 .. 342.8571 cents 1/1, 0.0000 cents 28.57143 cents 13: 371.4286 .. 371.4286 cents 1/1, 0.0000 cents 28.57143 cents 14: 400.0000 .. 400.0000 cents 1/1, 0.0000 cents 28.57143 cents 15: 428.5714 .. 428.5714 cents 1/1, 0.0000 cents 28.57143 cents 16: 457.1429 .. 457.1429 cents 1/1, 0.0000 cents 28.57143 cents 17: 485.7143 .. 485.7143 cents 1/1, 0.0000 cents 28.57143 cents 18: 514.2857 .. 514.2857 cents 1/1, 0.0000 cents 28.57143 cents 19: 542.8571 .. 542.8571 cents 1/1, 0.0000 cents 28.57143 cents 20: 571.4286 .. 571.4286 cents 1/1, 0.0000 cents 28.57143 cents 21: 600.0000 .. 600.0000 cents 1/1, 0.0000 cents 28.57143 cents 22: 628.5714 .. 628.5714 cents 1/1, 0.0000 cents 28.57143 cents 23: 657.1429 .. 657.1429 cents 1/1, 0.0000 cents 28.57143 cents 24: 685.7143 .. 685.7143 cents 1/1, 0.0000 cents 28.57143 cents 25: 714.2857 .. 714.2857 cents 1/1, 0.0000 cents 28.57143 cents 26: 742.8571 .. 742.8571 cents 1/1, 0.0000 cents 28.57143 cents 27: 771.4286 .. 771.4286 cents 1/1, 0.0000 cents 28.57143 cents 28: 800.0000 .. 800.0000 cents 1/1, 0.0000 cents 28.57143 cents 29: 828.5714 .. 828.5714 cents 1/1, 0.0000 cents 28.57143 cents 30: 857.1429 .. 857.1429 cents 1/1, 0.0000 cents 28.57143 cents 31: 885.7143 .. 885.7143 cents 1/1, 0.0000 cents 28.57143 cents 32: 914.2857 .. 914.2857 cents 1/1, 0.0000 cents 28.57143 cents 33: 942.8571 .. 942.8571 cents 1/1, 0.0000 cents 28.57143 cents 34: 971.4286 .. 971.4286 cents 1/1, 0.0000 cents 28.57143 cents 35: 1000.0000 .. 1000.0000 cents 1/1, 0.0000 cents 28.57143 cents 36: 1028.5714 .. 1028.5714 cents 1/1, 0.0000 cents 28.57143 cents 37: 1057.1429 .. 1057.1429 cents 1/1, 0.0000 cents 28.57143 cents 38: 1085.7143 .. 1085.7143 cents 1/1, 0.0000 cents 28.57143 cents 39: 1114.2857 .. 1114.2857 cents 1/1, 0.0000 cents 28.57143 cents 40: 1142.8571 .. 1142.8571 cents 1/1, 0.0000 cents 28.57143 cents 41: 1171.4286 .. 1171.4286 cents 1/1, 0.0000 cents 28.57143 cents
SHOW DATA
Number of notes : 42 -- Interval properties -- Smallest interval : 28.57143 cents, class 1 Average step (divided formal octave): 28.5714 cents Largest one step interval : 28.57143 cents Average / Smallest step : 1.000000 Largest / Average step : 1.000000 Largest / Smallest step : 1.000000 Median interval of one step : 28.57143 cents, amount: 42 Most common interval of one step : 28.57143 cents, amount: 42 Least squares average step : 28.57143 cents, oct.: 1200.00000 cents Scale is strictly proper Scale is equal tempered Scale is maximally even for L / S <= 2 Scale is distributional even Scale is a Constant Structure, by a margin of 28.57143 cents Ratio Whole / Half tone : 8.000000 ( 8 ) Scale diversity : 1.000000 Rothenberg stability : 1.000000 = 1 Lumma stability : 1.000000 Rothenberg efficiency : 0.023810 redundancy: 0.976190 Efficiency x scale size : 1.000000 Number of different interval sizes : 41 = 1.00000 / class Number of one step interval sizes : 1 Mean interval variety : 1.00000 = 1 Lowest interval variety : 1 Number of recognisable fifths : 84, average 700.0000 cents Number of appreciable fifths : 42, average 714.2857 cents Scale contains two identical disjunct "tetrachords" of 18 notes Best fifths form a closed circle Best minor thirds form a closed circle Limited transpositions : all Inversional symmetry on degrees : all Inversional symmetry on intervals : all -- Rational properties --
FIT/MODE
42: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 SP B ME I SD: 0.0000 c. M: 0.0000 c.
FIT/HARMONIC
1 .. 2 match: 1 H SD: 0.0000 cents 2 .. 4 match: 2 H SD: 6.1654 cents 3 .. 6 match: 3 H SD: 4.1350 cents 4 .. 8 match: 4 H SD: 4.6512 cents 5 .. 10 match: 5 H SD: 4.1591 cents 6 .. 12 match: 6 H SD: 3.5788 cents 7 .. 14 match: 7 H SD: 3.4565 cents 8 .. 16 match: 8 H SD: 3.0168 cents 9 .. 18 match: 9 H SD: 2.7053 cents 10 .. 20 match: 10 H SD: 2.5746 cents 11 .. 22 match: 11 H SD: 2.0686 cents 12 .. 24 match: 12 H SD: 2.4254 cents 13 .. 26 match: 13 H SD: 2.2471 cents 14 .. 28 match: 14 H SD: 2.3296 cents 15 .. 30 match: 15 H SD: 2.0870 cents 16 .. 32 match: 16 H SD: 2.0472 cents 17 .. 34 match: 17 H SD: 2.0337 cents 18 .. 36 match: 18 H SD: 1.8163 cents 19 .. 38 match: 19 H SD: 1.9774 cents 20 .. 40 match: 20 H SD: 2.0949 cents 21 .. 42 match: 21 H SD: 2.0688 cents 22 .. 44 match: 22 H SD: 1.7701 cents 23 .. 46 match: 23 H SD: 1.6141 cents 24 .. 48 match: 24 H SD: 1.8719 cents 25 .. 50 match: 25 H SD: 1.5319 cents 26 .. 52 match: 26 H SD: 1.7651 cents 27 .. 54 match: 27 H SD: 1.5285 cents 28 .. 56 match: 28 H SD: 1.4645 cents 29 .. 58 match: 29 H SD: 1.4297 cents 30 .. 60 match: 30 H SD: 1.3956 cents 31 .. 62 match: 31 H SD: 1.3533 cents 32 .. 64 match: 32 H SD: 1.2923 cents 33 .. 66 match: 33 H SD: 1.2577 cents 34 .. 68 match: 34 H SD: 1.4157 cents 35 .. 70 match: 34 S SD: 1.5708 cents 36 .. 72 match: 35 SD: 1.2565 cents 37 .. 74 match: 36 S SD: 1.2285 cents 38 .. 76 match: 36 S SD: 1.4874 cents 39 .. 78 match: 37 SD: 1.1539 cents 40 .. 80 match: 37 SD: 1.4869 cents 41 .. 82 match: 38 SD: 1.1072 cents 42 .. 84 match: 38 SD: 1.4176 cents 43 .. 86 match: 39 SD: 1.0548 cents 44 .. 88 match: 39 SD: 1.2455 cents 45 .. 90 match: 40 SD: 1.2324 cents 46 .. 92 match: 40 SD: 1.0137 cents 47 .. 94 match: 40 SD: 1.2033 cents 48 .. 96 match: 40 SD: 1.3117 cents 49 .. 98 match: 41 SD: 0.9871 cents 50 .. 100 match: 41 SD: 0.9503 cents 51 .. 102 match: 41 SD: 1.0906 cents 52 .. 104 match: 41 SD: 1.2054 cents 53 .. 106 match: 41 SD: 1.2305 cents 54 .. 108 match: 42 SD: 1.0312 cents 55 .. 110 match: 42 SD: 0.8952 cents 56 .. 112 match: 42 SD: 0.8528 cents 57 .. 114 match: 42 SD: 0.8511 cents 58 .. 116 match: 42 SD: 0.8310 cents 63 .. 126 match: 42 SD: 0.8301 cents 69 .. 138 match: 42 SD: 0.8007 cents 70 .. 140 match: 42 SD: 0.7696 cents 73 .. 146 match: 42 SD: 0.7562 cents 75 .. 150 match: 42 SD: 0.7562 cents 76 .. 152 match: 42 SD: 0.7213 cents 78 .. 156 match: 42 SD: 0.7032 cents 80 .. 160 match: 42 SD: 0.6620 cents 82 .. 164 match: 42 SD: 0.6468 cents 84 .. 168 match: 42 SD: 0.6113 cents 92 .. 184 match: 42 SD: 0.5697 cents 95 .. 190 match: 42 SD: 0.5567 cents 96 .. 192 match: 42 SD: 0.5400 cents 100 .. 200 match: 42 SD: 0.5074 cents 105 .. 210 match: 42 SD: 0.4820 cents 106 .. 212 match: 42 SD: 0.4795 cents 112 .. 224 match: 42 SD: 0.4668 cents 114 .. 228 match: 42 SD: 0.4299 cents 116 .. 232 match: 42 SD: 0.4258 cents 127 .. 254 match: 42 SD: 0.4257 cents 130 .. 260 match: 42 SD: 0.4253 cents 132 .. 264 match: 42 SD: 0.4132 cents 133 .. 266 match: 42 SD: 0.3910 cents 138 .. 276 match: 42 SD: 0.3898 cents 141 .. 282 match: 42 SD: 0.3895 cents 142 .. 284 match: 42 SD: 0.3551 cents 150 .. 300 match: 42 SD: 0.3402 cents 155 .. 310 match: 42 SD: 0.3169 cents 171 .. 342 match: 42 SD: 0.2982 cents 173 .. 346 match: 42 SD: 0.2912 cents 174 .. 348 match: 42 SD: 0.2689 cents 196 .. 392 match: 42 SD: 0.2588 cents 201 .. 402 match: 42 SD: 0.2580 cents 206 .. 412 match: 42 SD: 0.2539 cents 212 .. 424 match: 42 SD: 0.2522 cents 214 .. 428 match: 42 SD: 0.2512 cents 217 .. 434 match: 42 SD: 0.2450 cents 218 .. 436 match: 42 SD: 0.2444 cents 219 .. 438 match: 42 SD: 0.2361 cents 220 .. 440 match: 42 SD: 0.2212 cents 231 .. 462 match: 42 SD: 0.2171 cents 235 .. 470 match: 42 SD: 0.2032 cents 251 .. 502 match: 42 SD: 0.2019 cents 261 .. 522 match: 42 SD: 0.2018 cents 269 .. 538 match: 42 SD: 0.1931 cents 277 .. 554 match: 42 SD: 0.1905 cents 278 .. 556 match: 42 SD: 0.1761 cents 292 .. 584 match: 42 SD: 0.1569 cents 334 .. 668 match: 42 SD: 0.1537 cents 335 .. 670 match: 42 SD: 0.1493 cents 351 .. 702 match: 42 SD: 0.1455 cents 352 .. 704 match: 42 SD: 0.1408 cents 356 .. 712 match: 42 SD: 0.1366 cents 362 .. 724 match: 42 SD: 0.1341 cents 368 .. 736 match: 42 SD: 0.1330 cents 381 .. 762 match: 42 SD: 0.1297 cents 407 .. 814 match: 42 SD: 0.1220 cents 417 .. 834 match: 42 SD: 0.1168 cents 431 .. 862 match: 42 SD: 0.1168 cents 442 .. 884 match: 42 SD: 0.1147 cents 451 .. 902 match: 42 SD: 0.1123 cents 467 .. 934 match: 42 SD: 0.1121 cents 468 .. 936 match: 42 SD: 0.1090 cents 473 .. 946 match: 42 SD: 0.0981 cents 526 .. 1052 match: 42 SD: 0.0935 cents 531 .. 1062 match: 42 SD: 0.0914 cents 546 .. 1092 match: 42 SD: 0.0908 cents 557 .. 1114 match: 42 SD: 0.0898 cents 573 .. 1146 match: 42 SD: 0.0893 cents 587 .. 1174 match: 42 SD: 0.0877 cents 589 .. 1178 match: 42 SD: 0.0828 cents