Scala analysis: Zimbabwe_Mbira_04
Mbira 4 (Mbira), Zimbabwe
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 98.000 cents 98.000000 2: 271.000 cents 271.000000 3: 472.000 cents 472.000000 4: 642.000 cents 642.000000 5: 771.000 cents 771.000000 6: 952.000 cents 952.000000 7: 1148.000 cents 1148.000000
SHOW/INTERVAL
0: 196.0000 cents 196.0000 1: 98.0000 cents 98.0000 2: 173.0000 cents 173.0000 3: 201.0000 cents 201.0000 4: 170.0000 cents 170.0000 5: 129.0000 cents 129.0000 6: 181.0000 cents 181.0000 7: 196.0000 cents 196.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 98.00000 cents 1: 1 129.00000 cents 1: 1 170.00000 cents 1: 1 173.00000 cents 1: 1 181.00000 cents 1: 1 196.00000 cents 1: 1 201.00000 cents 2: 1 271.00000 cents 2: 1 294.00000 cents 2: 1 299.00000 cents 2: 1 310.00000 cents 2: 1 371.00000 cents 2: 1 374.00000 cents 2: 1 377.00000 cents 3: 1 467.00000 cents 3: 1 472.00000 cents 3: 1 475.00000 cents 3: 1 480.00000 cents 3: 1 500.00000 cents 3: 1 506.00000 cents 3: 1 544.00000 cents 4: 1 604.00000 cents 4: 1 642.00000 cents 4: 1 648.00000 cents 4: 1 668.00000 cents 4: 1 673.00000 cents 4: 1 676.00000 cents 4: 1 681.00000 cents 5: 1 771.00000 cents 5: 1 774.00000 cents 5: 1 777.00000 cents 5: 1 838.00000 cents 5: 1 849.00000 cents 5: 1 854.00000 cents 5: 1 877.00000 cents 6: 1 947.00000 cents 6: 1 952.00000 cents 6: 1 967.00000 cents 6: 1 975.00000 cents 6: 1 978.00000 cents 6: 1 1019.00000 cents 6: 1 1050.00000 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 : 98.0 271.0 472.0 642.0 771.0 952.0 1148.0 98.0 : 173.0 374.0 544.0 673.0 854.0 1050.0 1148.0 271.0 : 201.0 371.0 500.0 681.0 877.0 975.0 1148.0 472.0 : 170.0 299.0 480.0 676.0 774.0 947.0 1148.0 642.0 : 129.0 310.0 506.0 604.0 777.0 978.0 1148.0 771.0 : 181.0 377.0 475.0 648.0 849.0 1019.0 1148.0 952.0 : 196.0 294.0 467.0 668.0 838.0 967.0 1148.0 1148.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 98.0000 .. 201.0000 cents 103.00000 cents 98.00000 cents 2: 271.0000 .. 377.0000 cents 106.00000 cents 70.00000 cents 3: 467.0000 .. 544.0000 cents 77.00000 cents 90.00000 cents 4: 604.0000 .. 681.0000 cents 77.00000 cents 60.00000 cents 5: 771.0000 .. 877.0000 cents 106.00000 cents 90.00000 cents 6: 947.0000 .. 1050.0000 cents 103.00000 cents 70.00000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 98.00000 cents, class 1 Average step (divided formal octave): 164.0000 cents Largest one step interval : 201.00000 cents Average / Smallest step : 1.673469 Largest / Average step : 1.225610 Largest / Smallest step : 2.051020 Median interval of one step : 173.00000 cents, amount: 1 Least squares average step : 158.76429 cents, oct.: 1111.35000 cents Scale is strictly proper Scale is a mode of a 1148-tone equal temperament with octave 1148.000 cents degrees: 98 271 472 642 771 952 1148 Least number of segments generator : 575 of 575.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 663 of 663.000 cents and inv. generated superset size: 218 = 211 more = 3114.286% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEFG Step pattern size order : ADGCBEF Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 60.00000 cents Scale diversity : 1.586225 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.501742 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 : 3.00000 cents Number of recognisable fifths : 0 Number of recognisable fourths : 2, average 503.0000 cents Best minor thirds form a closed circle Formal octave complements present : 1 = 14.2857% 2/1 octave complements present : 0 = 0.0000% -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 40.7536 c. M:-66.0000 c. Lebeng 9: 1 1 2 1 1 1 2 P M ME S SD: 29.5949 c. M: 59.1111 c. Pseudo Pelog, Pelogic-7, Antiionian 10: 1 1 2 2 1 1 2 P D3 S SD: 30.5708 c. M:-46.8000 c. 12: 1 2 2 2 1 2 2 P M ME S SD: 12.6541 c. M:-27.6667 c. G.Dorian, M.Phrygian, G.M.Hypoaeolian, Bhairavi That, Mela Hanumatodi, Raga Asavari (Asaveri), Bilashkhani Todi, Ghanta, Makam Kurd, Gregorian nr.3, In, Zokuso: Japan, Ousak: Greece, Major inverse 21: 2 3 4 3 2 3 4 SP T3 SD: 13.5001 c. M: 22.6667 c. 22: 2 3 4 3 3 3 4 SP D3 SD: 9.9831 c. M: 15.8182 c. 25: 2 4 4 4 3 4 4 SP T3 SD: 8.1740 c. M: 12.8000 c. 34: 3 5 6 5 4 5 6 SP SD: 3.5251 c. M: 6.5882 c. 46: 4 7 8 7 5 7 8 SP SD: 3.5462 c. M:-6.8696 c. 59: 5 9 10 9 7 9 10 SP SD: 3.4446 c. M:-7.3051 c. 70: 6 11 12 10 8 11 12 SP SD: 3.3891 c. M:-7.8000 c. 71: 6 11 12 11 8 11 12 SP SD: 3.3438 c. M:-5.1127 c. 80: 7 12 14 12 9 12 14 SP SD: 3.0334 c. M: 4.9000 c. 81: 7 12 14 12 9 13 14 SP SD: 3.3522 c. M: 5.6667 c. 82: 7 12 15 12 9 13 14 SP SD: 2.5635 c. M: 5.0000 c. 86: 7 13 15 13 10 13 15 SP SD: 3.5828 c. M: 4.7907 c. 88: 8 13 15 13 10 14 15 SP SD: 3.0317 c. M:-6.3636 c. 89: 8 13 16 13 10 14 15 SP SD: 3.3427 c. M:-5.2584 c. 92: 8 14 16 13 11 14 16 SP SD: 3.2137 c. M: 5.6087 c. 93: 8 14 16 14 10 15 16 SP SD: 2.5024 c. M: 5.6667 c. 98: 8 15 17 15 11 15 17 SP SD: 2.7330 c. M: 4.2857 c. 104: 9 16 18 15 12 16 18 SP SD: 2.5833 c. M:-4.9615 c. 106: 9 16 19 15 12 17 18 SP SD: 2.2458 c. M:-4.5283 c. 107: 9 16 19 16 12 17 18 SP SD: 1.8243 c. M:-2.8785 c. 127: 11 19 22 19 14 20 22 SP SD: 1.7402 c. M: 2.8661 c. 131: 11 20 23 19 15 21 22 SP SD: 1.6898 c. M:-3.2061 c. 140: 12 21 25 20 16 22 24 SP SD: 1.6784 c. M:-3.6000 c. 141: 12 21 25 21 16 22 24 SP SD: 1.3863 c. M:-2.4752 c. 153: 13 23 27 23 17 24 26 SP SD: 1.5335 c. M:-3.2810 c. 165: 14 25 29 24 19 26 28 SP SD: 1.0964 c. M: 1.9030 c. 177: 15 27 31 26 20 28 30 SP SD: 1.0248 c. M:-1.4689 c. 211: 18 32 37 31 24 33 36 SP SD: 0.8809 c. M:-1.5877 c. 234: 20 35 41 35 26 37 40 SP SD: 0.7112 c. M: 1.1709 c. 258: 22 39 45 38 29 41 44 SP SD: 0.6985 c. M: 1.2558 c. 268: 23 40 47 40 30 42 46 SP SD: 0.7163 c. M: 1.1343 c. 270: 23 41 47 40 30 43 46 SP SD: 0.7041 c. M: 1.4148 c. 292: 25 44 51 43 33 46 50 SP SD: 0.5442 c. M: 1.1644 c. 304: 26 46 53 45 34 48 52 SP SD: 0.4426 c. M:-0.8947 c. 374: 32 56 66 55 42 59 64 SP SD: 0.5417 c. M: 0.8824 c. 386: 33 58 68 57 43 61 66 SP SD: 0.4893 c. M:-0.8808 c. 399: 34 60 70 59 45 63 68 SP SD: 0.2991 c. M: 0.5439 c. 411: 35 62 72 61 46 65 70 SP SD: 0.2630 c. M:-0.4769 c. 445: 38 67 78 66 50 70 76 SP SD: 0.2025 c. M:-0.3640 c. 703: 60 106 123 104 79 111 120 SP SD: 0.1282 c. M: 0.2304 c. 1114: 95 168 195 165 125 176 190 SP SD: 0.1076 c. M:-0.2011 c. 1148: 98 173 201 170 129 181 196 SP SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 52.0000 cents 2 x x x 3 x x 4 S SD: 39.6819 cents 3 x x 4 x x 5:6 S SD: 29.7353 cents 4 x x 5:6 x 7:8 S SD: 29.4998 cents 5 x 6 x 7:8:9:10 S SD: 23.9672 cents 6 x 7:8:9 x 10:12 S SD: 21.5122 cents 7 x 8:9:10:11:12:14 S SD: 13.6849 cents 8 x 9:11:12 x 14:16 SD: 26.3622 cents 9:10:11:12:13:14:16:17 S SD: 19.0890 cents 10:11:12:13:14:16:17:19 SD: 17.2773 cents 11:12:13:14:16:17:19:21 SD: 12.1771 cents 12:13:14:16:17:19:21:23 SD: 10.3201 cents 13:14:15:17:19:20:23:25 SD: 8.9297 cents 16:17:19:21:23:25:28:31 SD: 5.0219 cents 18:19:21:24:26:28:31:35 SD: 4.3080 cents 29:31:34:38:42:45:50:56 SD: 3.5138 cents 34:36:40:45:49:53:59:66 SD: 2.7915 cents 35:37:41:46:51:55:61:68 SD: 2.6297 cents 47:50:55:62:68:73:81:91 SD: 2.6136 cents 48:51:56:63:70:75:83:93 SD: 2.1127 cents 52:55:61:68:75:81:90:101 SD: 1.8669 cents 53:56:62:70:77:83:92:103 SD: 1.8377 cents 64:68:75:84:93:100:111:124 SD: 1.4338 cents 71:75:83:93:103:111:123:138 SD: 1.0136 cents 89:94:104:117:129:139:154:173 SD: 0.7998 cents 105:111:123:138:152:164:182:204 SD: 0.6366 cents 153:162:179:201:222:239:265:297 SD: 0.4535 cents 205:217:240:269:297:320:355:398 SD: 0.4209 cents 207:219:242:272:300:323:359:402 SD: 0.3003 cents 307:325:359:403:445:479:532:596 SD: 0.2386 cents 360:381:421:473:522:562:624:699 SD: 0.2321 cents 396:419:463:520:574:618:686:769 SD: 0.2280 cents 408:432:477:536:591:637:707:792 SD: 0.1908 cents 412:436:482:541:597:643:714:800 SD: 0.1733 cents 479:507:560:629:694:748:830:930 SD: 0.1701 cents 501:530:586:658:726:782:868:972 SD: 0.1555 cents 584:618:683:767:846:912:1012:1133 SD: 0.1504 cents