Scala analysis: Zimbabwe_Nyanga_02
Nyanga 2 (Panpipes), Zimbabwe
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 160.000 cents 160.000000 2: 357.000 cents 357.000000 3: 580.000 cents 580.000000 4: 723.000 cents 723.000000 5: 855.000 cents 855.000000 6: 1025.000 cents 1025.000000 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 175.0000 cents 175.0000 1: 160.0000 cents 160.0000 2: 197.0000 cents 197.0000 3: 223.0000 cents 223.0000 4: 143.0000 cents 143.0000 5: 132.0000 cents 132.0000 6: 170.0000 cents 170.0000 7: 175.0000 cents 175.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 132.00000 cents 1: 1 143.00000 cents 1: 1 160.00000 cents 1: 1 170.00000 cents 1: 1 175.00000 cents 1: 1 197.00000 cents 1: 1 223.00000 cents 2: 1 275.00000 cents 2: 1 302.00000 cents 2: 1 335.00000 cents 2: 1 345.00000 cents 2: 1 357.00000 cents 2: 1 366.00000 cents 2: 1 420.00000 cents 3: 1 445.00000 cents 3: 1 477.00000 cents 3: 1 498.00000 cents 3: 1 505.00000 cents 3: 1 532.00000 cents 3: 1 563.00000 cents 3: 1 580.00000 cents 4: 1 620.00000 cents 4: 1 637.00000 cents 4: 1 668.00000 cents 4: 1 695.00000 cents 4: 1 702.00000 cents 4: 1 723.00000 cents 4: 1 755.00000 cents 5: 1 780.00000 cents 5: 1 834.00000 cents 5: 1 843.00000 cents 5: 1 855.00000 cents 5: 1 865.00000 cents 5: 1 898.00000 cents 5: 1 925.00000 cents 6: 1 977.00000 cents 6: 1 1003.00000 cents 6: 1 1025.00000 cents 6: 1 1030.00000 cents 6: 1 1040.00000 cents 6: 1 1057.00000 cents 6: 1 1068.00000 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 : 160.0 357.0 580.0 723.0 855.0 1025.0 1200.0 160.0 : 197.0 420.0 563.0 695.0 865.0 1040.0 1200.0 357.0 : 223.0 366.0 498.0 668.0 843.0 1003.0 1200.0 580.0 : 143.0 275.0 445.0 620.0 780.0 977.0 1200.0 723.0 : 132.0 302.0 477.0 637.0 834.0 1057.0 1200.0 855.0 : 170.0 345.0 505.0 702.0 925.0 1068.0 1200.0 1025.0: 175.0 335.0 532.0 755.0 898.0 1030.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 132.0000 .. 223.0000 cents 91.00000 cents 132.00000 cents 2: 275.0000 .. 420.0000 cents 145.00000 cents 52.00000 cents 3: 445.0000 .. 580.0000 cents 135.00000 cents 25.00000 cents 4: 620.0000 .. 755.0000 cents 135.00000 cents 40.00000 cents 5: 780.0000 .. 925.0000 cents 145.00000 cents 25.00000 cents 6: 977.0000 .. 1068.0000 cents 91.00000 cents 52.00000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 132.00000 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 223.00000 cents Average / Smallest step : 1.298701 Largest / Average step : 1.300833 Largest / Smallest step : 1.689394 Median interval of one step : 170.00000 cents, amount: 1 Least squares average step : 173.79286 cents, oct.: 1216.55000 cents Scale is strictly proper Scale is a mode of a 1200-tone equal temperament with octave 1200.000 cents degrees: 160 357 580 723 855 1025 1200 Least number of segments generator : 601 of 601.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 1067 of 1067.000 cents and inv. generated superset size: 397 = 390 more = 5671.429% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEFG Step pattern size order : CFGBADE Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 25.00000 cents Scale diversity : 1.603252 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.381667 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 : 5.00000 cents Number of recognisable fifths : 2, average 698.5000 cents Best minor thirds form a closed circle Formal octave complements present : 1 = 14.2857% -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 29.4147 c. M: 65.7143 c. Lebeng 8: 1 1 2 1 1 1 1 P M ME S SD: 31.9106 c. M: 57.0000 c. 9: 1 2 1 1 1 2 1 P M ME I SD: 42.5482 c. M: 56.3333 c. 10: 1 2 2 1 1 2 1 P D3 S SD: 27.4330 c. M:-55.0000 c. 13: 2 2 2 2 1 2 2 SP M ME S SD: 18.3544 c. M: 26.1538 c. Glacial-7, Lobonian 14: 2 2 3 1 2 2 2 P T3 SD: 17.4773 c. M: 37.2857 c. 17: 2 3 3 2 2 2 3 P D3 SD: 18.1755 c. M: 36.7647 c. 20: 3 3 4 2 2 3 3 P SD: 12.3520 c. M:-20.0000 c. 21: 3 3 4 3 2 3 3 SP T3 SD: 10.7952 c. M:-19.8571 c. 25: 3 4 5 3 3 3 4 P SD: 12.4900 c. M: 21.0000 c. 27: 4 4 5 3 3 4 4 SP SD: 9.1304 c. M:-17.7778 c. 33: 4 6 6 4 4 4 5 P SD: 9.5463 c. M:-17.7273 c. 35: 5 5 7 4 4 5 5 SP SD: 7.2224 c. M: 14.1429 c. 37: 5 6 7 4 4 6 5 SP SD: 7.6725 c. M:-12.8378 c. 38: 5 6 7 5 4 5 6 SP SD: 8.0832 c. M: 14.4737 c. 40: 5 7 7 5 4 6 6 SP SD: 8.1766 c. M: 15.0000 c. 41: 5 7 8 5 4 6 6 P SD: 7.2075 c. M: 13.6585 c. 43: 6 7 8 5 5 6 6 SP SD: 6.4543 c. M:-10.1163 c. 46: 6 8 8 6 5 6 7 SP SD: 6.1446 c. M:-8.2174 c. 48: 6 8 9 6 5 7 7 SP SD: 5.3852 c. M: 10.0000 c. 53: 7 9 10 6 6 7 8 P SD: 4.9882 c. M:-8.6792 c. 60: 8 10 11 7 7 8 9 SP SD: 3.1168 c. M:-5.0000 c. 81: 11 13 15 10 9 11 12 SP SD: 2.6785 c. M:-4.2593 c. 83: 11 14 15 10 9 12 12 SP SD: 2.0623 c. M:-4.4458 c. 91: 12 15 17 11 10 13 13 SP SD: 1.9484 c. M:-3.5714 c. 108: 14 18 20 13 12 15 16 SP SD: 2.2490 c. M: 4.4444 c. 111: 15 18 21 13 12 16 16 SP SD: 1.9201 c. M:-3.7838 c. 118: 16 19 22 14 13 17 17 SP SD: 1.4448 c. M:-2.7119 c. 128: 17 21 24 15 14 18 19 SP SD: 1.5612 c. M: 3.1250 c. 149: 20 24 28 18 16 21 22 SP SD: 1.6016 c. M: 2.6376 c. 151: 20 25 28 18 17 21 22 SP SD: 1.3269 c. M:-3.2781 c. 159: 21 26 30 19 17 23 23 SP SD: 1.5955 c. M: 2.2830 c. 164: 22 27 30 20 18 23 24 SP SD: 1.2323 c. M: 1.9512 c. 171: 23 28 32 20 19 24 25 SP SD: 1.2150 c. M:-2.4561 c. 178: 24 29 33 21 20 25 26 SP SD: 1.0401 c. M:-1.7978 c. 219: 29 36 41 26 24 31 32 SP SD: 0.6344 c. M: 1.0959 c. 300: 40 49 56 36 33 42 44 SP SD: 0.7559 c. M:-1.0000 c. 302: 40 50 56 36 33 43 44 SP SD: 0.5428 c. M: 1.0596 c. 337: 45 55 63 40 37 48 49 SP SD: 0.4664 c. M: 0.9169 c. 383: 51 63 71 46 42 54 56 SP SD: 0.4000 c. M:-0.7598 c. 397: 53 65 74 47 44 56 58 SP SD: 0.3548 c. M: 0.5819 c. 480: 64 79 89 57 53 68 70 SP SD: 0.2673 c. M: 0.5000 c. 501: 67 82 93 60 55 71 73 SP SD: 0.2743 c. M:-0.4790 c. 629: 84 103 117 75 69 89 92 SP SD: 0.2648 c. M: 0.5167 c. 699: 93 115 130 83 77 99 102 SP SD: 0.1966 c. M: 0.3433 c. 720: 96 118 134 86 79 102 105 SP SD: 0.1782 c. M: 0.3333 c. 803: 107 132 149 96 88 114 117 SP SD: 0.1754 c. M:-0.2877 c. 974: 130 160 181 116 107 138 142 SP SD: 0.1845 c. M:-0.2895 c. 981: 131 161 182 117 108 139 143 SP SD: 0.1416 c. M:-0.2446 c. 1200: 160 197 223 143 132 170 175 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: 10.5225 cents 3 x x 4 x 5 x 6 S SD: 29.0183 cents 4 x 5 x 6 x 7:8 S SD: 16.6915 cents 5 x 6:7 x 8:9:10 S SD: 11.7957 cents 6 x 7:8:9:10:11:12 S SD: 21.5627 cents 7:8:9:10:11 x 13:14 SD: 22.5392 cents 8:9:10:11:12:13:14:16 S SD: 12.3039 cents 9:10:11:13:14:15:16:18 SD: 12.1673 cents 10:11:12:14:15:16:18:20 S SD: 8.9744 cents 12:13:15:17:18:20:22:24 SD: 8.7433 cents 13:14:16:18:20:21:24:26 S SD: 8.7433 cents 17:19:21:24:26:28:31:34 SD: 6.2123 cents 20:22:25:28:30:33:36:40 SD: 5.5904 cents 21:23:26:29:32:34:38:42 SD: 4.7245 cents 22:24:27:31:33:36:40:44 SD: 4.1168 cents 30:33:37:42:46:49:54:60 SD: 3.0096 cents 31:34:38:43:47:51:56:62 SD: 2.2960 cents 48:53:59:67:73:79:87:96 SD: 2.1520 cents 52:57:64:73:79:85:94:104 SD: 1.2707 cents 73:80:90:102:111:120:132:146 SD: 1.1870 cents 83:91:102:116:126:136:150:166 SD: 0.1459 cents 432:474:531:604:656:708:781:864 SD: 0.1123 cents 515:565:633:720:782:844:931:1030 SD: 0.0738 cents 598:656:735:836:908:980:1081:1196 SD: 0.0480 cents