Scala analysis: DR_Congo_Bakwese
Bakwese, DR Congo
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 173.000 cents 173.000000 2: 376.000 cents 376.000000 3: 556.000 cents 556.000000 4: 749.000 cents 749.000000 5: 949.000 cents 949.000000 6: 1125.000 cents 1125.000000 7: 1278.000 cents 1278.000000
SHOW/INTERVAL
0: 153.0000 cents 153.0000 1: 173.0000 cents 173.0000 2: 203.0000 cents 203.0000 3: 180.0000 cents 180.0000 4: 193.0000 cents 193.0000 5: 200.0000 cents 200.0000 6: 176.0000 cents 176.0000 7: 153.0000 cents 153.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 153.00000 cents 1: 1 173.00000 cents 1: 1 176.00000 cents 1: 1 180.00000 cents 1: 1 193.00000 cents 1: 1 200.00000 cents 1: 1 203.00000 cents 2: 1 326.00000 cents 2: 1 329.00000 cents 2: 1 373.00000 cents 2: 2 376.00000 cents 2: 1 383.00000 cents 2: 1 393.00000 cents 3: 1 502.00000 cents 3: 2 529.00000 cents 3: 1 556.00000 cents 3: 1 569.00000 cents 3: 1 573.00000 cents 3: 1 576.00000 cents 4: 1 702.00000 cents 4: 1 705.00000 cents 4: 1 709.00000 cents 4: 1 722.00000 cents 4: 2 749.00000 cents 4: 1 776.00000 cents 5: 1 885.00000 cents 5: 1 895.00000 cents 5: 2 902.00000 cents 5: 1 905.00000 cents 5: 1 949.00000 cents 5: 1 952.00000 cents 6: 1 1075.00000 cents 6: 1 1078.00000 cents 6: 1 1085.00000 cents 6: 1 1098.00000 cents 6: 1 1102.00000 cents 6: 1 1105.00000 cents 6: 1 1125.00000 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 : 173.0 376.0 556.0 749.0 949.0 1125.0 1278.0 173.0 : 203.0 383.0 576.0 776.0 952.0 1105.0 1278.0 376.0 : 180.0 373.0 573.0 749.0 902.0 1075.0 1278.0 556.0 : 193.0 393.0 569.0 722.0 895.0 1098.0 1278.0 749.0 : 200.0 376.0 529.0 702.0 905.0 1085.0 1278.0 949.0 : 176.0 329.0 502.0 705.0 885.0 1078.0 1278.0 1125.0: 153.0 326.0 529.0 709.0 902.0 1102.0 1278.0 1278.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 153.0000 .. 203.0000 cents 50.00000 cents 153.00000 cents 2: 326.0000 .. 393.0000 cents 67.00000 cents 123.00000 cents 3: 502.0000 .. 576.0000 cents 74.00000 cents 109.00000 cents 4: 702.0000 .. 776.0000 cents 74.00000 cents 126.00000 cents 5: 885.0000 .. 952.0000 cents 67.00000 cents 109.00000 cents 6: 1075.0000 .. 1125.0000 cents 50.00000 cents 123.00000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 153.00000 cents, class 1 Average step (divided formal octave): 182.5714 cents Largest one step interval : 203.00000 cents Average / Smallest step : 1.193277 Largest / Average step : 1.111894 Largest / Smallest step : 1.326797 Median interval of one step : 180.00000 cents, amount: 1 Least squares average step : 185.92857 cents, oct.: 1301.50000 cents Scale is strictly proper Scale is a mode of a 1278-tone equal temperament with octave 1278.000 cents degrees: 173 376 556 749 949 1125 1278 Least number of segments generator : 641 of 641.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 739 of 739.000 cents and inv. generated superset size: 215 = 208 more = 3071.429% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEFG Step pattern size order : BGDEFCA Scale is a Constant Structure, by a margin of 109.00000 cents Scale diversity : 1.200834 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.701095 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 : 3, average 705.3333 cents Number of recognisable fourths : 1, average 502.0000 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% 2/1 octave complements present : 0 = 0.0000% Limited transpositions with margin 64.0000 cents: 1 Limited inverse transpositions with margin 64.0000 cents: 5 6 -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 20.0326 c. M: 36.1429 c. Lebeng 16: 2 3 2 2 3 2 2 SP M ME S SD: 15.9241 c. M: 30.1250 c. Mavila-7, Antiaeolian 17: 2 3 2 3 3 2 2 P D3 SD: 17.7846 c. M: 29.7647 c. 20: 3 3 3 3 3 3 2 SP M ME S SD: 16.0863 c. M:-25.2000 c. Major quasi-equal Heptatonic 23: 3 4 3 3 4 3 3 SP M ME S SD: 12.6769 c. M: 26.6522 c. Mavila-7, Antiaeolian 24: 3 4 3 4 4 3 3 SP D3 SD: 11.2532 c. M: 23.5000 c. 25: 3 4 4 4 4 3 3 SP S SD: 14.9706 c. M:-22.2800 c. 27: 4 4 4 4 4 4 3 SP M ME S SD: 9.3639 c. M:-16.3333 c. Tetracot-7 34: 5 5 5 5 5 5 4 SP M ME S SD: 7.4209 c. M:-14.9412 c. Tetracot-7 36: 5 6 5 5 6 5 4 SP T3 S SD: 9.2428 c. M:-14.5000 c. 38: 5 6 5 6 6 5 5 SP D3 SD: 10.3267 c. M: 17.8947 c. 39: 5 6 6 6 6 5 5 SP S SD: 8.1746 c. M: 15.5385 c. 40: 5 7 5 6 7 5 5 SP SD: 10.2224 c. M: 14.1500 c. 41: 6 6 6 6 6 6 5 SP M ME S SD: 7.8174 c. M:-14.0244 c. Tetracot-7 42: 6 6 6 7 6 6 5 SP T3 SD: 8.0067 c. M:-11.7143 c. 43: 6 7 6 6 7 6 5 SP T3 S SD: 6.2211 c. M:-10.3721 c. 44: 6 7 6 7 7 6 5 SP SD: 5.4791 c. M:-9.5000 c. 50: 7 8 7 7 8 7 6 SP T3 S SD: 5.3566 c. M: 7.7600 c. 51: 7 8 7 8 8 7 6 SP SD: 2.7540 c. M: 4.7059 c. 58: 8 9 8 9 9 8 7 SP SD: 2.4785 c. M: 5.1379 c. 94: 13 15 13 14 15 13 11 SP SD: 2.8951 c. M:-4.6809 c. 101: 14 16 14 15 16 14 12 SP SD: 2.3326 c. M:-4.1485 c. 109: 15 17 15 17 17 15 13 SP SD: 2.2682 c. M: 4.9358 c. 118: 16 19 16 18 19 16 14 SP SD: 2.5133 c. M:-4.0847 c. 119: 16 19 17 18 18 17 14 SP SD: 2.3130 c. M: 3.9244 c. 125: 17 20 17 19 20 17 15 SP SD: 2.1256 c. M: 3.9040 c. 126: 17 20 18 19 20 17 15 SP SD: 1.9677 c. M:-4.4286 c. 128: 17 21 18 19 20 18 15 SP SD: 2.4715 c. M:-3.4062 c. 132: 18 21 18 20 21 18 16 SP SD: 2.3049 c. M: 4.1364 c. 133: 18 21 19 20 21 18 16 SP SD: 1.1574 c. M:-2.2932 c. 140: 19 22 20 21 22 19 17 SP SD: 1.1351 c. M: 2.1857 c. 184: 25 29 26 28 29 25 22 SP SD: 1.1493 c. M:-2.5543 c. 186: 25 30 26 28 29 26 22 SP SD: 1.1626 c. M:-1.9032 c. 191: 26 30 27 29 30 26 23 SP SD: 0.8691 c. M: 1.2984 c. 234: 32 37 33 35 37 32 28 SP SD: 1.0222 c. M:-1.7692 c. 237: 32 38 33 36 37 33 28 SP SD: 1.0030 c. M:-2.0127 c. 244: 33 39 34 37 38 34 29 SP SD: 0.7642 c. M:-1.1148 c. 283: 38 45 40 43 44 39 34 SP SD: 0.8259 c. M: 1.3958 c. 310: 42 49 44 47 48 43 37 SP SD: 0.7190 c. M:-1.3097 c. 319: 43 51 45 48 50 44 38 SP SD: 0.5960 c. M:-0.8715 c. 326: 44 52 46 49 51 45 39 SP SD: 0.3760 c. M:-0.6748 c. 377: 51 60 53 57 59 52 45 SP SD: 0.2274 c. M:-0.4536 c. 384: 52 61 54 58 60 53 46 SP SD: 0.2152 c. M: 0.4844 c. 517: 70 82 73 78 81 71 62 SP SD: 0.1803 c. M: 0.2631 c. 761: 103 121 107 115 119 105 91 SP SD: 0.1225 c. M:-0.1787 c. 894: 121 142 126 135 140 123 107 SP SD: 0.0924 c. M:-0.2081 c. 901: 122 143 127 136 141 124 108 SP SD: 0.0951 c. M: 0.1898 c. 1278: 173 203 180 193 200 176 153 SP SD: 0.0000 c. M: 0.0000 c.
FIT/HARMONIC
1 x x x x x 2 x S SD: 75.0000 cents 2 x x x 3 x 4 x S SD: 44.2669 cents 3 x x 4 x 5:6 x S SD: 38.2423 cents 4 x 5 x 6:7:8 x S SD: 22.8277 cents 5 x 6:7:8:9:10 x S SD: 27.4670 cents 6:7 x 8:9:10:12:13 S SD: 27.8170 cents 7:8:9:10:11:12:13:15 SD: 18.3990 cents 8:9:10:11:12:14:15:17 SD: 10.8476 cents 11:12:14:15:17:19:21:23 SD: 7.3499 cents 18:20:22:25:28:31:34:38 SD: 6.7010 cents 19:21:24:26:29:33:36:40 SD: 6.0151 cents 20:22:25:28:31:35:38:42 SD: 5.7019 cents 21:23:26:29:32:36:40:44 SD: 4.5773 cents 26:29:32:36:40:45:50:54 SD: 4.0578 cents 29:32:36:40:45:50:56:61 SD: 3.0993 cents 37:41:46:51:57:64:71:77 SD: 1.5655 cents 66:73:82:91:102:114:126:138 SD: 1.1381 cents 74:82:92:102:114:128:142:155 SD: 0.8974 cents 103:114:128:142:159:178:197:215 SD: 0.8938 cents 111:123:138:153:171:192:213:232 SD: 0.8853 cents 116:128:144:160:179:201:222:243 SD: 0.7511 cents 133:147:165:183:205:230:255:278 SD: 0.7368 cents 140:155:174:193:216:242:268:293 SD: 0.5846 cents 153:169:190:211:236:265:293:320 SD: 0.3987 cents 227:251:282:313:350:393:435:475 SD: 0.2869 cents 248:274:308:342:382:429:475:519 SD: 0.2325 cents 314:347:390:433:484:543:601:657 SD: 0.2242 cents 351:388:436:484:541:607:672:734 SD: 0.2134 cents 388:429:482:535:598:671:743:812 SD: 0.1935 cents 399:441:496:550:615:690:764:835 SD: 0.1845 cents 412:455:512:568:635:713:789:862 SD: 0.1819 cents 449:496:558:619:692:777:860:939 SD: 0.1591 cents 486:537:604:670:749:841:931:1017 SD: 0.1136 cents 552:610:686:761:851:955:1057:1155 SD: 0.0862 cents