Scala analysis: Mozambique_Chopi_07
Chopi 7, Mozambique
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: 331.000 cents 331.000000 3: 508.000 cents 508.000000 4: 682.000 cents 682.000000 5: 858.000 cents 858.000000 6: 1026.000 cents 1026.000000 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 174.0000 cents 174.0000 1: 162.0000 cents 162.0000 2: 169.0000 cents 169.0000 3: 177.0000 cents 177.0000 4: 174.0000 cents 174.0000 5: 176.0000 cents 176.0000 6: 168.0000 cents 168.0000 7: 174.0000 cents 174.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 162.00000 cents 1: 1 168.00000 cents 1: 1 169.00000 cents 1: 2 174.00000 cents 1: 1 176.00000 cents 1: 1 177.00000 cents 2: 1 331.00000 cents 2: 1 336.00000 cents 2: 1 342.00000 cents 2: 1 344.00000 cents 2: 1 346.00000 cents 2: 1 350.00000 cents 2: 1 351.00000 cents 3: 1 504.00000 cents 3: 1 505.00000 cents 3: 1 508.00000 cents 3: 2 518.00000 cents 3: 1 520.00000 cents 3: 1 527.00000 cents 4: 1 673.00000 cents 4: 1 680.00000 cents 4: 2 682.00000 cents 4: 1 692.00000 cents 4: 1 695.00000 cents 4: 1 696.00000 cents 5: 1 849.00000 cents 5: 1 850.00000 cents 5: 1 854.00000 cents 5: 1 856.00000 cents 5: 1 858.00000 cents 5: 1 864.00000 cents 5: 1 869.00000 cents 6: 1 1023.00000 cents 6: 1 1024.00000 cents 6: 2 1026.00000 cents 6: 1 1031.00000 cents 6: 1 1032.00000 cents 6: 1 1038.00000 cents Highest number of different intervals for one interval class: 7 Average number of different intervals per interval class: 6.33333 = 19/3
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 0.0 : 162.0 331.0 508.0 682.0 858.0 1026.0 1200.0 162.0 : 169.0 346.0 520.0 696.0 864.0 1038.0 1200.0 331.0 : 177.0 351.0 527.0 695.0 869.0 1031.0 1200.0 508.0 : 174.0 350.0 518.0 692.0 854.0 1023.0 1200.0 682.0 : 176.0 344.0 518.0 680.0 849.0 1026.0 1200.0 858.0 : 168.0 342.0 504.0 673.0 850.0 1024.0 1200.0 1026.0: 174.0 336.0 505.0 682.0 856.0 1032.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 162.0000 .. 177.0000 cents 15.00000 cents 162.00000 cents 2: 331.0000 .. 351.0000 cents 20.00000 cents 154.00000 cents 3: 504.0000 .. 527.0000 cents 23.00000 cents 153.00000 cents 4: 673.0000 .. 696.0000 cents 23.00000 cents 146.00000 cents 5: 849.0000 .. 869.0000 cents 20.00000 cents 153.00000 cents 6: 1023.0000 .. 1038.0000 cents 15.00000 cents 154.00000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 162.00000 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 177.00000 cents Average / Smallest step : 1.058201 Largest / Average step : 1.032500 Largest / Smallest step : 1.092593 Median interval of one step : 174.00000 cents, amount: 2 Most common interval of one step : 174.00000 cents, amount: 2 Least squares average step : 170.87143 cents, oct.: 1196.10000 cents Scale is strictly proper Scale is a mode of a 1200-tone equal temperament with octave 1200.000 cents degrees: 162 331 508 682 858 1026 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: 90 = 83 more = 1285.714% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEFD Step pattern size order : ACFDEBD Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 146.00000 cents Scale diversity : 1.101983 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.903333 Rothenberg efficiency : 0.312925 redundancy: 0.687075 Efficiency x scale size : 2.190476 Number of different interval sizes : 38 = 6.33333 / class Number of one step interval sizes : 6 Highest interval variety : 7 Mean interval variety : 6.33333 = 19/3 Median interval variety : 6 Lowest interval variety : 6 Smallest interval difference : 1.00000 cents Number of recognisable fifths : 3, average 694.3333 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 transpositions with margin 20.0000 cents: 1 2 3 4 5 6 Limited inverse transpositions with margin 20.0000 cents: 1 2 3 4 5 6 -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 6.4381 c. M:-11.8571 c. Lebeng 47: 6 7 7 7 7 6 7 SP D3 S SD: 6.1366 c. M:-10.0851 c. 48: 6 7 7 7 7 7 7 SP M ME S SD: 7.1514 c. M: 12.0000 c. 50: 7 7 7 7 8 7 7 SP M ME S SD: 5.9642 c. M: 10.0000 c. 54: 7 8 8 8 8 7 8 SP D3 S SD: 5.2576 c. M:-8.6667 c. 55: 7 8 8 8 8 8 8 SP M ME S SD: 5.6117 c. M: 9.2727 c. 57: 8 8 8 8 9 8 8 SP M ME S SD: 5.4737 c. M: 8.3158 c. 61: 8 9 9 9 9 8 9 SP D3 S SD: 4.6968 c. M:-7.5738 c. 62: 8 9 9 9 9 9 9 SP M ME S SD: 4.4684 c. M: 7.1613 c. 64: 9 9 9 9 10 9 9 SP M ME S SD: 5.1781 c. M: 7.0000 c. 66: 9 9 10 9 10 9 10 SP M ME S SD: 5.0257 c. M: 9.2727 c. 67: 9 9 10 10 10 9 10 SP D3 SD: 4.5994 c. M: 8.6119 c. 68: 9 10 10 10 10 9 10 SP D3 S SD: 4.3532 c. M:-6.7059 c. 69: 9 10 10 10 10 10 10 SP M ME S SD: 3.6174 c. M: 5.8261 c. 76: 10 11 11 11 11 11 11 SP M ME S SD: 2.9980 c. M: 5.3684 c. 81: 11 11 12 12 12 11 12 SP D3 SD: 2.9582 c. M: 5.0741 c. 83: 11 12 12 12 12 12 12 SP M ME S SD: 2.5725 c. M: 4.9880 c. 88: 12 12 13 13 13 12 13 SP D3 SD: 2.4035 c. M: 3.7273 c. 90: 12 13 13 13 13 13 13 SP M ME S SD: 2.3128 c. M: 4.6667 c. 95: 13 13 14 14 14 13 14 SP D3 SD: 2.0005 c. M: 2.8421 c. 102: 14 14 15 15 15 14 15 SP D3 SD: 1.7417 c. M:-2.7059 c. 109: 15 15 16 16 16 15 16 SP D3 SD: 1.6171 c. M:-3.1376 c. 116: 16 16 17 17 17 16 17 SP D3 SD: 1.6044 c. M:-3.5172 c. 164: 22 23 24 24 24 23 24 SP SD: 1.7845 c. M: 3.1220 c. 165: 22 24 24 24 24 23 24 SP SD: 1.7225 c. M:-3.5455 c. 171: 23 24 25 25 25 24 25 SP SD: 1.5326 c. M: 2.7368 c. 173: 23 25 25 25 26 24 25 SP SD: 1.7870 c. M: 2.4624 c. 178: 24 25 26 26 26 25 26 SP SD: 1.3267 c. M: 2.3820 c. 180: 24 26 26 26 27 25 26 SP SD: 1.6762 c. M:-2.3333 c. 185: 25 26 27 27 27 26 27 SP SD: 1.1708 c. M: 2.0541 c. 186: 25 26 28 27 27 26 27 SP SD: 1.2382 c. M: 1.9677 c. 192: 26 27 28 28 28 27 28 SP SD: 1.0690 c. M: 1.7500 c. 199: 27 28 29 29 29 28 29 SP SD: 1.0225 c. M: 1.7186 c. 206: 28 29 30 30 30 29 30 SP SD: 1.0268 c. M: 1.6893 c. 213: 29 30 31 31 31 30 31 SP SD: 1.0720 c. M: 1.6620 c. 215: 29 30 32 31 32 30 31 SP SD: 1.0257 c. M: 1.6977 c. 222: 30 31 33 32 33 31 32 SP SD: 0.9009 c. M:-1.4595 c. 229: 31 32 34 33 34 32 33 SP SD: 0.8219 c. M:-1.3886 c. 236: 32 33 35 34 35 33 34 SP SD: 0.7917 c. M:-1.3220 c. 243: 33 34 36 35 36 34 35 SP SD: 0.8070 c. M:-1.2593 c. 250: 34 35 37 36 37 35 36 SP SD: 0.8586 c. M:-1.2000 c. 257: 35 36 38 37 38 36 37 SP SD: 0.9350 c. M:-1.4241 c. 260: 35 37 38 38 38 36 38 SP SD: 0.8708 c. M: 1.3846 c. 276: 37 39 41 40 40 39 40 SP SD: 0.8146 c. M: 1.4783 c. 283: 38 40 42 41 41 40 41 SP SD: 0.7699 c. M: 1.4629 c. 290: 39 41 43 42 42 41 42 SP SD: 0.7592 c. M: 1.4483 c. 305: 41 43 45 44 45 43 44 SP SD: 0.7192 c. M: 1.3443 c. 312: 42 44 46 45 46 44 45 SP SD: 0.6350 c. M: 1.2308 c. 319: 43 45 47 46 47 45 46 SP SD: 0.5818 c. M: 1.1223 c. 326: 44 46 48 47 48 46 47 SP SD: 0.5631 c. M: 1.0184 c. 371: 50 52 55 54 54 52 54 SP SD: 0.6190 c. M: 1.0809 c. 373: 50 53 55 54 55 52 54 SP SD: 0.6065 c. M: 1.1421 c. 378: 51 53 56 55 55 53 55 SP SD: 0.5491 c. M: 0.8571 c. 385: 52 54 57 56 56 54 56 SP SD: 0.5029 c. M: 0.8571 c. 392: 53 55 58 57 57 55 57 SP SD: 0.4837 c. M: 0.8571 c. 407: 55 57 60 59 60 57 59 SP SD: 0.5663 c. M: 0.9189 c. 414: 56 58 61 60 61 58 60 SP SD: 0.4934 c. M: 0.8406 c. 421: 57 59 62 61 62 59 61 SP SD: 0.4405 c. M: 0.7648 c. 428: 58 60 63 62 63 60 62 SP SD: 0.4122 c. M: 0.6916 c. 435: 59 61 64 63 64 61 63 SP SD: 0.4107 c. M:-0.7586 c. 475: 64 67 70 69 70 66 69 SP SD: 0.4062 c. M:-0.9474 c. 482: 65 68 71 70 71 67 70 SP SD: 0.3792 c. M:-0.9212 c. 489: 66 69 72 71 72 68 71 SP SD: 0.3752 c. M:-0.8957 c. 496: 67 70 73 72 73 69 72 SP SD: 0.3928 c. M:-0.8710 c. 503: 68 71 74 73 74 70 73 SP SD: 0.4279 c. M:-0.8469 c. 505: 68 71 75 73 74 71 73 SP SD: 0.4226 c. M: 0.7030 c. 512: 69 72 76 74 75 72 74 SP SD: 0.3903 c. M:-0.5938 c. 519: 70 73 77 75 76 73 75 SP SD: 0.3775 c. M:-0.6705 c. 551: 74 78 81 80 81 77 80 SP SD: 0.4113 c. M: 0.8385 c. 558: 75 79 82 81 82 78 81 SP SD: 0.3547 c. M: 0.7097 c. 565: 76 80 83 82 83 79 82 SP SD: 0.3119 c. M: 0.5841 c. 572: 77 81 84 83 84 80 83 SP SD: 0.2873 c. M:-0.4685 c. 579: 78 82 85 84 85 81 84 SP SD: 0.2839 c. M:-0.6062 c. 621: 84 87 92 90 91 87 90 SP SD: 0.2647 c. M: 0.5652 c. 628: 85 88 93 91 92 88 91 SP SD: 0.2617 c. M: 0.4268 c. 635: 86 89 94 92 93 89 92 SP SD: 0.2775 c. M:-0.5197 c. 697: 94 98 103 101 102 98 101 SP SD: 0.3088 c. M: 0.6112 c. 704: 95 99 104 102 103 99 102 SP SD: 0.2768 c. M: 0.6136 c. 711: 96 100 105 103 104 100 103 SP SD: 0.2580 c. M: 0.6160 c. 718: 97 101 106 104 105 101 104 SP SD: 0.2546 c. M: 0.6184 c. 758: 102 107 112 110 111 106 110 SP SD: 0.2530 c. M: 0.5224 c. 765: 103 108 113 111 112 107 111 SP SD: 0.2335 c. M: 0.4314 c. 772: 104 109 114 112 113 108 112 SP SD: 0.2285 c. M:-0.3834 c. 779: 105 110 115 113 114 109 113 SP SD: 0.2381 c. M:-0.4134 c. 808: 109 114 119 117 119 113 117 SP SD: 0.2347 c. M:-0.4158 c. 822: 111 116 121 119 121 115 119 SP SD: 0.2525 c. M:-0.3942 c. 860: 116 121 127 125 126 120 125 SP SD: 0.2450 c. M: 0.4186 c. 867: 117 122 128 126 127 121 126 SP SD: 0.2219 c. M: 0.3945 c. 874: 118 123 129 127 128 122 127 SP SD: 0.2100 c. M:-0.3799 c. 881: 119 124 130 128 129 123 128 SP SD: 0.2107 c. M:-0.4064 c. 950: 128 134 140 138 139 133 138 SP SD: 0.2259 c. M: 0.3158 c. 957: 129 135 141 139 140 134 139 SP SD: 0.2049 c. M: 0.3197 c. 964: 130 136 142 140 141 135 140 SP SD: 0.1938 c. M: 0.3237 c. 1015: 137 143 150 147 149 142 147 SP SD: 0.2134 c. M:-0.3744 c. 1022: 138 144 151 148 150 143 148 SP SD: 0.2311 c. M:-0.4149 c. 1029: 139 145 152 149 151 144 149 SP SD: 0.2547 c. M:-0.4548 c. 1049: 142 147 155 152 154 147 152 SP SD: 0.2451 c. M:-0.4404 c. 1056: 143 148 156 153 155 148 153 SP SD: 0.2411 c. M:-0.5000 c. 1070: 144 151 158 155 157 150 155 SP SD: 0.2171 c. M: 0.5047 c. 1077: 145 152 159 156 158 151 156 SP SD: 0.1909 c. M: 0.4401 c. 1084: 146 153 160 157 159 152 157 SP SD: 0.1717 c. M: 0.3764 c. 1091: 147 154 161 158 160 153 158 SP SD: 0.1616 c. M: 0.3135 c. 1098: 148 155 162 159 161 154 159 SP SD: 0.1618 c. M: 0.2514 c. 1105: 149 156 163 160 162 155 160 SP SD: 0.1720 c. M:-0.2443 c. 1165: 157 164 172 169 171 163 169 SP SD: 0.1934 c. M: 0.3562 c. 1172: 158 165 173 170 172 164 170 SP SD: 0.1538 c. M: 0.2833 c. 1179: 159 166 174 171 173 165 171 SP SD: 0.1147 c. M: 0.2112 c. 1186: 160 167 175 172 174 166 172 SP SD: 0.0760 c. M: 0.1400 c. 1193: 161 168 176 173 175 167 173 SP SD: 0.0378 c. M: 0.0696 c. 1200: 162 169 177 174 176 168 174 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: 9.9775 cents 3 x x 4 x 5 x 6 S SD: 9.3920 cents 4 x 5 x 6 x 7:8 S SD: 20.5041 cents 5 x 6:7 x 8:9:10 S SD: 17.6887 cents 6 x 7:8:9:10:11:12 S SD: 12.7480 cents 7:8 x 9:10:12:13:14 S SD: 24.7188 cents 8:9:10:11:12:13:14:16 S SD: 14.7530 cents 9:10:11:12:13:15:16:18 SD: 9.5122 cents 11:12:13:15:16:18:20:22 SD: 8.9602 cents 14:15:17:19:21:23:25:28 SD: 8.0286 cents 17:19:21:23:25:28:31:34 SD: 7.5852 cents 18:20:22:24:27:30:33:36 S SD: 7.0326 cents 19:21:23:25:28:31:34:38 SD: 6.0218 cents 20:22:24:27:30:33:36:40 S SD: 4.3506 cents 23:25:28:31:34:38:42:46 SD: 4.3011 cents 29:32:35:39:43:48:52:58 SD: 3.3739 cents 33:36:40:44:49:54:60:66 SD: 2.6658 cents 41:45:50:55:61:67:74:82 SD: 2.3333 cents 42:46:51:56:62:69:76:84 SD: 2.0620 cents 52:57:63:70:77:85:94:104 SD: 1.5250 cents 62:68:75:83:92:102:112:124 SD: 0.8666 cents 100:110:121:134:148:164:181:200 SD: 0.7339 cents 114:125:138:153:169:187:206:228 SD: 0.5106 cents 153:168:185:205:227:251:277:306 SD: 0.4897 cents 162:178:196:217:240:266:293:324 SD: 0.4289 cents 184:202:223:247:273:302:333:368 SD: 0.4195 cents 203:223:246:272:301:333:367:406 SD: 0.3830 cents 214:235:259:287:317:351:387:428 SD: 0.3327 cents 246:270:298:330:365:404:445:492 SD: 0.2824 cents 276:303:334:370:409:453:499:552 SD: 0.2429 cents 346:380:419:464:513:568:626:692 SD: 0.1027 cents 460:505:557:617:682:755:832:920 SD: 0.0976 cents