Scala analysis: Zimbabwe_Nyanga_01
Nyanga 1 (Panpipes), Zimbabwe
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 162.000 cents 162.000000 2: 310.000 cents 310.000000 3: 523.000 cents 523.000000 4: 691.000 cents 691.000000 5: 843.000 cents 843.000000 6: 1040.000 cents 1040.000000 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 160.0000 cents 160.0000 1: 162.0000 cents 162.0000 2: 148.0000 cents 148.0000 3: 213.0000 cents 213.0000 4: 168.0000 cents 168.0000 5: 152.0000 cents 152.0000 6: 197.0000 cents 197.0000 7: 160.0000 cents 160.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 148.00000 cents 1: 1 152.00000 cents 1: 1 160.00000 cents 1: 1 162.00000 cents 1: 1 168.00000 cents 1: 1 197.00000 cents 1: 1 213.00000 cents 2: 1 310.00000 cents 2: 1 320.00000 cents 2: 1 322.00000 cents 2: 1 349.00000 cents 2: 1 357.00000 cents 2: 1 361.00000 cents 2: 1 381.00000 cents 3: 1 470.00000 cents 3: 1 509.00000 cents 3: 1 517.00000 cents 3: 1 519.00000 cents 3: 1 523.00000 cents 3: 1 529.00000 cents 3: 1 533.00000 cents 4: 1 667.00000 cents 4: 1 671.00000 cents 4: 1 677.00000 cents 4: 1 681.00000 cents 4: 1 683.00000 cents 4: 1 691.00000 cents 4: 1 730.00000 cents 5: 1 819.00000 cents 5: 1 839.00000 cents 5: 1 843.00000 cents 5: 1 851.00000 cents 5: 1 878.00000 cents 5: 1 880.00000 cents 5: 1 890.00000 cents 6: 1 987.00000 cents 6: 1 1003.00000 cents 6: 1 1032.00000 cents 6: 1 1038.00000 cents 6: 1 1040.00000 cents 6: 1 1048.00000 cents 6: 1 1052.00000 cents Highest number of different intervals for one interval class: 7 Average number of different intervals per interval class: 7.00000 = 7
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 0.0 : 162.0 310.0 523.0 691.0 843.0 1040.0 1200.0 162.0 : 148.0 361.0 529.0 681.0 878.0 1038.0 1200.0 310.0 : 213.0 381.0 533.0 730.0 890.0 1052.0 1200.0 523.0 : 168.0 320.0 517.0 677.0 839.0 987.0 1200.0 691.0 : 152.0 349.0 509.0 671.0 819.0 1032.0 1200.0 843.0 : 197.0 357.0 519.0 667.0 880.0 1048.0 1200.0 1040.0: 160.0 322.0 470.0 683.0 851.0 1003.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 148.0000 .. 213.0000 cents 65.00000 cents 148.00000 cents 2: 310.0000 .. 381.0000 cents 71.00000 cents 97.00000 cents 3: 470.0000 .. 533.0000 cents 63.00000 cents 89.00000 cents 4: 667.0000 .. 730.0000 cents 63.00000 cents 134.00000 cents 5: 819.0000 .. 890.0000 cents 71.00000 cents 89.00000 cents 6: 987.0000 .. 1052.0000 cents 65.00000 cents 97.00000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 148.00000 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 213.00000 cents Average / Smallest step : 1.158301 Largest / Average step : 1.242500 Largest / Smallest step : 1.439189 Median interval of one step : 162.00000 cents, amount: 1 Least squares average step : 171.21429 cents, oct.: 1198.50000 cents Scale is strictly proper Scale is a mode of a 1200-tone equal temperament with octave 1200.000 cents degrees: 162 310 523 691 843 1040 1200 Least number of segments generator : 601 of 601.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 857 of 857.000 cents and inv. generated superset size: 311 = 304 more = 4442.857% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEFG Step pattern size order : DAGEBFC Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 89.00000 cents Scale diversity : 1.346601 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.668333 Rothenberg efficiency : 0.285714 redundancy: 0.714286 Efficiency x scale size : 2.000000 Number of different interval sizes : 42 = 7.00000 / class Number of one step interval sizes : 7 Highest interval variety : 7 Mean interval variety : 7.00000 = 7 Median interval variety : 7 Lowest interval variety : 7 Smallest interval difference : 2.00000 cents Number of recognisable fifths : 1, average 691.0000 cents Best fifths form a closed circle Best major thirds form a closed circle Best minor thirds form a closed circle Formal octave complements present : 1 = 14.2857% Limited inverse transpositions with margin 71.0000 cents: 1 -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 15.1327 c. M:-32.8571 c. Lebeng 16: 2 2 3 2 2 3 2 SP M ME S SD: 11.5140 c. M: 18.0000 c. Antimixolydian 23: 3 3 4 3 3 4 3 SP M ME S SD: 6.3558 c. M: 12.7391 c. 30: 4 4 5 4 4 5 4 SP M ME S SD: 5.8919 c. M: 11.0000 c. 36: 5 4 7 5 4 6 5 SP SD: 7.9950 c. M:-10.3333 c. 38: 5 5 7 5 5 6 5 SP T3 SD: 7.1027 c. M:-13.8421 c. 43: 6 5 8 6 5 7 6 SP SD: 5.6635 c. M: 7.4419 c. 44: 6 5 8 6 6 7 6 SP SD: 5.7252 c. M: 10.0000 c. 50: 7 6 9 7 6 8 7 SP SD: 4.8255 c. M: 8.0000 c. 51: 7 6 9 7 7 8 7 SP SD: 4.8744 c. M: 8.6471 c. 59: 8 7 11 8 7 10 8 SP SD: 4.6126 c. M: 9.1017 c. 61: 8 8 11 8 8 10 8 SP T3 SD: 4.3389 c. M:-8.1475 c. 66: 9 8 12 9 8 11 9 SP SD: 3.3601 c. M: 6.6364 c. 73: 10 9 13 10 9 12 10 SP SD: 2.9616 c. M: 4.6438 c. 81: 11 10 14 12 10 13 11 SP SD: 2.9559 c. M:-5.2963 c. 90: 12 11 16 13 11 15 12 SP SD: 2.3469 c. M: 3.3333 c. 97: 13 12 17 14 12 16 13 SP SD: 1.7119 c. M: 3.4124 c. 120: 16 15 21 17 15 20 16 SP SD: 1.8127 c. M: 3.0000 c. 127: 17 16 22 18 16 21 17 SP SD: 1.7846 c. M: 3.3150 c. 128: 17 16 23 18 16 21 17 SP SD: 1.6817 c. M:-2.7500 c. 135: 18 17 24 19 17 22 18 SP SD: 1.4566 c. M:-2.3333 c. 151: 20 19 27 21 19 25 20 SP SD: 1.3774 c. M: 3.0596 c. 158: 21 20 28 22 20 26 21 SP SD: 1.1712 c. M: 2.5063 c. 179: 24 22 32 25 23 29 24 SP SD: 1.0535 c. M:-1.6927 c. 186: 25 23 33 26 24 30 25 SP SD: 1.0405 c. M:-2.1613 c. 202: 27 25 36 28 26 33 27 SP SD: 1.0598 c. M: 1.8911 c. 209: 28 26 37 29 27 34 28 SP SD: 1.0304 c. M: 2.0048 c. 231: 31 29 41 32 29 38 31 SP SD: 1.1800 c. M:-1.6883 c. 232: 31 29 41 33 29 38 31 SP SD: 1.0526 c. M:-2.1034 c. 236: 32 29 42 33 30 39 31 SP SD: 1.0766 c. M:-2.3729 c. 243: 33 30 43 34 31 40 32 SP SD: 1.1011 c. M:-1.9753 c. 245: 33 30 44 34 31 40 33 SP SD: 0.9610 c. M: 1.6327 c. 252: 34 31 45 35 32 41 34 SP SD: 0.8293 c. M: 1.9048 c. 268: 36 33 48 37 34 44 36 SP SD: 1.0351 c. M: 1.4478 c. 271: 37 33 48 38 34 45 36 SP SD: 0.9865 c. M:-1.8376 c. 275: 37 34 49 38 35 45 37 SP SD: 0.9188 c. M: 1.5455 c. 276: 37 34 49 39 35 45 37 SP SD: 0.8981 c. M: 1.3043 c. 283: 38 35 50 40 36 46 38 SP SD: 0.8475 c. M: 1.4452 c. 299: 40 37 53 42 38 49 40 SP SD: 0.8854 c. M: 1.4649 c. 302: 41 37 54 42 38 50 40 SP SD: 0.8241 c. M:-1.5033 c. 309: 42 38 55 43 39 51 41 SP SD: 0.7612 c. M:-1.2718 c. 332: 45 41 59 46 42 55 44 SP SD: 0.7896 c. M:-1.0964 c. 333: 45 41 59 47 42 55 44 SP SD: 0.6756 c. M:-1.4414 c. 340: 46 42 60 48 43 56 45 SP SD: 0.6696 c. M:-1.1765 c. 353: 48 43 63 49 45 58 47 SP SD: 0.6497 c. M:-1.1728 c. 356: 48 44 63 50 45 59 47 SP SD: 0.6435 c. M:-1.5730 c. 363: 49 45 64 51 46 60 48 SP SD: 0.6304 c. M:-1.3223 c. 399: 54 49 71 56 50 66 53 SP SD: 0.5352 c. M: 0.8947 c. 406: 55 50 72 57 51 67 54 SP SD: 0.4485 c. M: 0.6355 c. 450: 61 55 80 63 57 74 60 SP SD: 0.4179 c. M:-0.6667 c. 457: 62 56 81 64 58 75 61 SP SD: 0.3943 c. M:-0.8009 c. 488: 66 60 87 68 62 80 65 SP SD: 0.3646 c. M:-0.7705 c. 495: 67 61 88 69 63 81 66 SP SD: 0.3946 c. M:-0.6364 c. 511: 69 63 91 71 65 84 68 SP SD: 0.3607 c. M:-0.6791 c. 542: 73 67 96 76 69 89 72 SP SD: 0.3923 c. M:-0.5904 c. 578: 78 71 103 81 73 95 77 SP SD: 0.2976 c. M: 0.6574 c. 585: 79 72 104 82 74 96 78 SP SD: 0.1511 c. M:-0.2821 c. 592: 80 73 105 83 75 97 79 SP SD: 0.1556 c. M:-0.2432 c. 608: 82 75 108 85 77 100 81 SP SD: 0.1515 c. M: 0.2368 c. 615: 83 76 109 86 78 101 82 SP SD: 0.1437 c. M: 0.2683 c. 1177: 159 145 209 165 149 193 157 SP SD: 0.1242 c. M:-0.2489 c. 1193: 161 147 212 167 151 196 159 SP SD: 0.0888 c. M: 0.1928 c. 1200: 162 148 213 168 152 197 160 SP SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 0.0000 cents 2 x x x 3 x x 4 S SD: 5.4775 cents 3 x x 4 x 5 x 6 S SD: 16.1014 cents 4 x 5 x 6 x 7:8 S SD: 26.2316 cents 5 x 6:7 x 8:9:10 S SD: 14.0495 cents 6 x 7:8:9:10:11:12 S SD: 11.0568 cents 7:8 x 9:10:11:13:14 SD: 25.0469 cents 8:9:10:11:12:13:15:16 SD: 14.8723 cents 9:10:11:12:13:15:16:18 SD: 13.5786 cents 10:11:12:14:15:16:18:20 S SD: 10.1658 cents 11:12:13:15:16:18:20:22 SD: 7.3732 cents 19:21:23:26:28:31:35:38 SD: 5.8507 cents 20:22:24:27:30:33:36:40 S SD: 5.0482 cents 21:23:25:28:31:34:38:42 SD: 5.0384 cents 22:24:26:30:33:36:40:44 SD: 4.5018 cents 29:32:35:39:43:47:53:58 SD: 3.3882 cents 31:34:37:42:46:50:57:62 SD: 3.2933 cents 39:43:47:53:58:63:71:78 SD: 3.0936 cents 40:44:48:54:60:65:73:80 SD: 1.9222 cents 51:56:61:69:76:83:93:102 SD: 0.0773 cents