Scala analysis: Uganda_Harp_139
139 (Harp), Uganda
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 201.000 cents 201.000000 2: 476.000 cents 476.000000 3: 731.000 cents 731.000000 4: 971.000 cents 971.000000 5: 1196.000 cents 1196.000000 6: 1430.000 cents 1430.000000 7: 1691.000 cents 1691.000000
SHOW/INTERVAL
0: 261.0000 cents 261.0000 1: 201.0000 cents 201.0000 2: 275.0000 cents 275.0000 3: 255.0000 cents 255.0000 4: 240.0000 cents 240.0000 5: 225.0000 cents 225.0000 6: 234.0000 cents 234.0000 7: 261.0000 cents 261.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 201.00000 cents 1: 1 225.00000 cents 1: 1 234.00000 cents 1: 1 240.00000 cents 1: 1 255.00000 cents 1: 1 261.00000 cents 1: 1 275.00000 cents 2: 1 459.00000 cents 2: 1 462.00000 cents 2: 1 465.00000 cents 2: 1 476.00000 cents 2: 2 495.00000 cents 2: 1 530.00000 cents 3: 1 696.00000 cents 3: 1 699.00000 cents 3: 2 720.00000 cents 3: 1 731.00000 cents 3: 1 737.00000 cents 3: 1 770.00000 cents 4: 1 921.00000 cents 4: 1 954.00000 cents 4: 1 960.00000 cents 4: 2 971.00000 cents 4: 1 992.00000 cents 4: 1 995.00000 cents 5: 1 1161.00000 cents 5: 2 1196.00000 cents 5: 1 1215.00000 cents 5: 1 1226.00000 cents 5: 1 1229.00000 cents 5: 1 1232.00000 cents 6: 1 1416.00000 cents 6: 1 1430.00000 cents 6: 1 1436.00000 cents 6: 1 1451.00000 cents 6: 1 1457.00000 cents 6: 1 1466.00000 cents 6: 1 1490.00000 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 : 201.0 476.0 731.0 971.0 1196.0 1430.0 1691.0 201.0 : 275.0 530.0 770.0 995.0 1229.0 1490.0 1691.0 476.0 : 255.0 495.0 720.0 954.0 1215.0 1416.0 1691.0 731.0 : 240.0 465.0 699.0 960.0 1161.0 1436.0 1691.0 971.0 : 225.0 459.0 720.0 921.0 1196.0 1451.0 1691.0 1196.0: 234.0 495.0 696.0 971.0 1226.0 1466.0 1691.0 1430.0: 261.0 462.0 737.0 992.0 1232.0 1457.0 1691.0 1691.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 201.0000 .. 275.0000 cents 74.00000 cents 201.00000 cents 2: 459.0000 .. 530.0000 cents 71.00000 cents 184.00000 cents 3: 696.0000 .. 770.0000 cents 74.00000 cents 166.00000 cents 4: 921.0000 .. 995.0000 cents 74.00000 cents 151.00000 cents 5: 1161.0000 .. 1232.0000 cents 71.00000 cents 166.00000 cents 6: 1416.0000 .. 1490.0000 cents 74.00000 cents 184.00000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 201.00000 cents, class 1 Average step (divided formal octave): 241.5714 cents Largest one step interval : 275.00000 cents Average / Smallest step : 1.201848 Largest / Average step : 1.138380 Largest / Smallest step : 1.368159 Median interval of one step : 240.00000 cents, amount: 1 Least squares average step : 240.19286 cents, oct.: 1681.35000 cents Scale is strictly proper Scale is a mode of a 1691-tone equal temperament with octave 1691.000 cents degrees: 201 476 731 971 1196 1430 1691 Least number of segments generator : 846 of 846.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 1208 of 1208.000 cents and inv. generated superset size: 329 = 322 more = 4700.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEFG Step pattern size order : AGEDBCF Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 151.00000 cents Scale diversity : 0.543822 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.740982 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 : 7 Highest interval variety : 7 Mean interval variety : 6.33333 = 19/3 Median interval variety : 6 Lowest interval variety : 6 Smallest interval difference : 3.00000 cents Number of recognisable fifths : 4, average 708.7500 cents Number of appreciable fifths : 2, average 697.5000 cents Number of recognisable fourths : 2, average 495.0000 cents Best fifths form a closed circle Best minor thirds form a closed circle Formal octave complements present : 1 = 14.2857% 2/1 octave complements present : 0 = 0.0000% Limited transpositions with margin 74.0000 cents: 3 5 Limited inverse transpositions with margin 74.0000 cents: 4 5 6 -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 18.0351 c. M:-40.5714 c. Lebeng 17: 2 3 2 3 2 2 3 SP M ME S SD: 22.7779 c. M: 37.4118 c. 18: 2 3 3 2 3 2 3 SP M ME S SD: 19.6490 c. M: 31.5556 c. Dicot-7 21: 2 4 3 3 3 3 3 SP T3 SD: 17.8366 c. M: 39.9524 c. 24: 3 4 3 4 3 3 4 SP M ME S SD: 15.9307 c. M: 26.4167 c. Neutral Hypophrygian, Iced Mixolydian 25: 3 4 4 3 4 3 4 SP M ME S SD: 13.6931 c. M: 24.0400 c. Dicot-7 26: 3 4 4 4 3 4 4 SP M ME S SD: 13.9856 c. M: 25.3077 c. 28: 3 5 4 4 4 4 4 SP T3 SD: 12.0931 c. M: 19.8214 c. 32: 4 5 5 4 5 4 5 SP M ME S SD: 11.7410 c. M: 19.8125 c. Dicot-7 33: 4 5 5 5 4 5 5 SP M ME S SD: 10.3770 c. M: 17.4242 c. 35: 4 6 5 5 5 5 5 SP T3 SD: 9.9338 c. M:-19.4286 c. 40: 5 6 6 6 5 6 6 SP M ME S SD: 9.1579 c. M: 12.3250 c. 44: 5 7 7 6 6 6 7 SP T3 SD: 8.3508 c. M: 14.8182 c. 51: 6 8 8 7 7 7 8 SP T3 SD: 6.0820 c. M: 11.8039 c. 57: 7 9 9 8 7 8 9 SP SD: 7.0418 c. M:-10.6667 c. 58: 7 9 9 8 8 8 9 SP T3 SD: 5.1520 c. M: 9.5172 c. 65: 8 10 10 9 9 9 10 SP T3 SD: 5.2000 c. M: 8.4308 c. 78: 9 13 12 11 10 11 12 SP SD: 3.9206 c. M:-6.1026 c. 85: 10 14 13 12 11 12 13 SP SD: 2.8763 c. M:-5.0824 c. 92: 11 15 14 13 12 13 14 SP SD: 2.6155 c. M:-4.2174 c. 99: 12 16 15 14 13 14 15 SP SD: 2.9949 c. M:-4.7879 c. 117: 14 19 18 16 16 16 18 SP SD: 2.9429 c. M:-6.1026 c. 127: 15 21 19 18 17 17 20 SP SD: 2.6483 c. M: 5.2992 c. 134: 16 22 20 19 18 18 21 SP SD: 2.3550 c. M: 4.0075 c. 136: 16 22 21 19 18 19 21 SP SD: 2.0780 c. M: 3.5147 c. 143: 17 23 22 20 19 20 22 SP SD: 1.6421 c. M: 2.9930 c. 150: 18 24 23 21 20 21 23 SP SD: 1.6638 c. M: 2.5200 c. 160: 19 26 24 23 21 22 25 SP SD: 1.6213 c. M: 3.2188 c. 167: 20 27 25 24 22 23 26 SP SD: 1.4010 c. M: 2.2695 c. 195: 23 32 29 28 26 27 30 SP SD: 1.2635 c. M: 2.5692 c. 245: 29 40 37 35 32 34 38 SP SD: 1.2736 c. M:-2.1878 c. 246: 29 40 37 35 33 34 38 SP SD: 1.4316 c. M: 2.3577 c. 252: 30 41 38 36 33 35 39 SP SD: 1.0271 c. M:-1.9960 c. 259: 31 42 39 37 34 36 40 SP SD: 1.0106 c. M:-1.8147 c. 277: 33 45 42 39 37 38 43 SP SD: 0.8725 c. M:-1.5632 c. 284: 34 46 43 40 38 39 44 SP SD: 0.9179 c. M:-1.4437 c. 303: 36 49 46 43 40 42 47 SP SD: 1.0168 c. M: 1.6964 c. 305: 36 50 46 43 41 42 47 SP SD: 0.9651 c. M:-1.5607 c. 310: 37 50 47 44 41 43 48 SP SD: 0.8750 c. M: 1.4290 c. 331: 39 54 50 47 44 46 51 SP SD: 0.8190 c. M: 1.7583 c. 338: 40 55 51 48 45 47 52 SP SD: 0.6095 c. M: 0.8817 c. 345: 41 56 52 49 46 48 53 SP SD: 0.6029 c. M:-1.2232 c. 465: 55 76 70 66 62 64 72 SP SD: 0.5359 c. M: 0.9892 c. 472: 56 77 71 67 63 65 73 SP SD: 0.3874 c. M:-0.5975 c. 479: 57 78 72 68 64 66 74 SP SD: 0.3998 c. M:-0.7620 c. 564: 67 92 85 80 75 78 87 SP SD: 0.4039 c. M:-0.7181 c. 571: 68 93 86 81 76 79 88 SP SD: 0.4607 c. M:-0.7968 c. 590: 70 96 89 84 78 82 91 SP SD: 0.4333 c. M: 0.8356 c. 597: 71 97 90 85 79 83 92 SP SD: 0.3810 c. M: 0.6868 c. 615: 73 100 93 87 82 85 95 SP SD: 0.2776 c. M: 0.3935 c. 622: 74 101 94 88 83 86 96 SP SD: 0.2468 c. M: 0.4421 c. 817: 97 133 123 116 109 113 126 SP SD: 0.2456 c. M: 0.3721 c. 874: 104 142 132 124 116 121 135 SP SD: 0.2296 c. M:-0.3478 c. 909: 108 148 137 129 121 126 140 SP SD: 0.2438 c. M:-0.5600 c. 1062: 126 173 160 151 141 147 164 SP SD: 0.2103 c. M: 0.3729 c. 1069: 127 174 161 152 142 148 165 SP SD: 0.1436 c. M:-0.2572 c. 1076: 128 175 162 153 143 149 166 SP SD: 0.1586 c. M:-0.2249 c. 1212: 144 197 183 172 161 168 187 SP SD: 0.1580 c. M: 0.3012 c. 1219: 145 198 184 173 162 169 188 SP SD: 0.1500 c. M: 0.2313 c. 1353: 161 220 204 192 180 187 209 SP SD: 0.1523 c. M:-0.2203 c. 1548: 184 252 233 220 206 214 239 SP SD: 0.1517 c. M:-0.2765 c. 1599: 190 260 241 227 213 221 247 SP SD: 0.1505 c. M: 0.2427 c. 1684: 200 274 254 239 224 233 260 SP SD: 0.0750 c. M: 0.1686 c. 1691: 201 275 255 240 225 234 261 SP SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x 2 x 3 S SD: 105.4965 cents 2 x x 3 x 4 x 5 S SD: 36.2381 cents 3 x 4 x 5:6:7:8 S SD: 19.4091 cents 4 x 5:6:7:8:9:11 SD: 19.1681 cents 6:7:8:9:11:12:14:16 SD: 16.4344 cents 7:8:9:11:12:14:16:19 SD: 12.8634 cents 8:9:11:12:14:16:18:21 SD: 12.4827 cents 9:10:12:14:16:18:21:24 S SD: 9.0764 cents 13:15:17:20:23:26:30:35 SD: 8.6967 cents 15:17:20:23:26:30:34:40 SD: 5.3591 cents 17:19:22:26:30:34:39:45 SD: 5.0055 cents 23:26:30:35:40:46:53:61 SD: 4.0947 cents 25:28:33:38:44:50:57:66 SD: 2.3663 cents 32:36:42:49:56:64:73:85 SD: 1.4683 cents 57:64:75:87:100:114:130:151 SD: 0.9990 cents 82:92:108:125:144:164:187:218 SD: 0.9770 cents 89:100:117:136:156:178:203:236 SD: 0.9670 cents 105:118:138:160:184:210:240:279 SD: 0.7912 cents 114:128:150:174:200:227:260:303 SD: 0.7630 cents 120:135:158:183:210:239:274:319 SD: 0.7412 cents 129:145:170:197:226:257:295:343 SD: 0.7107 cents 130:146:171:198:228:259:297:345 SD: 0.6457 cents 137:154:180:209:240:273:313:364 SD: 0.6419 cents 145:163:191:221:254:289:331:385 SD: 0.4738 cents 154:173:203:235:270:307:352:409 SD: 0.4703 cents 162:182:213:247:284:323:370:430 SD: 0.4331 cents 177:199:233:270:310:353:404:470 SD: 0.3631 cents 186:209:245:284:326:371:425:494 SD: 0.3377 cents 221:248:291:337:387:441:505:587 SD: 0.2914 cents 253:284:333:386:443:505:578:672 SD: 0.2451 cents 348:391:458:531:610:694:795:924 SD: 0.2339 cents 366:411:482:558:641:730:836:972 SD: 0.2249 cents 367:412:483:560:643:732:838:975 SD: 0.2201 cents 373:419:491:569:654:744:852:991 SD: 0.2156 cents 383:430:504:584:671:764:875:1017 SD: 0.1933 cents 398:447:524:607:697:794:909:1057 SD: 0.1524 cents 455:511:599:694:797:908:1039:1208 SD: 0.1377 cents 569:639:749:868:997:1135:1300:1511 SD: 0.1098 cents