Scala analysis: Ethiopia_Mus_05_Bati_Zafan
Mus 5 Bati Zafan, Ethiopia
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 266.000 cents 266.000000 2: 535.000 cents 535.000000 3: 708.000 cents 708.000000 4: 1076.000 cents 1076.000000 5: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 124.0000 cents 124.0000 1: 266.0000 cents 266.0000 2: 269.0000 cents 269.0000 3: 173.0000 cents 173.0000 4: 368.0000 cents 368.0000 5: 124.0000 cents 124.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 124.00000 cents 1: 1 173.00000 cents 1: 1 266.00000 cents 1: 1 269.00000 cents 1: 1 368.00000 cents 2: 1 390.00000 cents 2: 1 442.00000 cents 2: 1 492.00000 cents 2: 1 535.00000 cents 2: 1 541.00000 cents 3: 1 659.00000 cents 3: 1 665.00000 cents 3: 1 708.00000 cents 3: 1 758.00000 cents 3: 1 810.00000 cents 4: 1 832.00000 cents 4: 1 931.00000 cents 4: 1 934.00000 cents 4: 1 1027.00000 cents 4: 1 1076.00000 cents Highest number of different intervals for one interval class: 5 Average number of different intervals per interval class: 5.00000 = 5
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 0.0 : 266.0 535.0 708.0 1076.0 1200.0 266.0 : 269.0 442.0 810.0 934.0 1200.0 535.0 : 173.0 541.0 665.0 931.0 1200.0 708.0 : 368.0 492.0 758.0 1027.0 1200.0 1076.0: 124.0 390.0 659.0 832.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 124.0000 .. 368.0000 cents 244.00000 cents 124.00000 cents 2: 390.0000 .. 541.0000 cents 151.00000 cents 22.00000 cents 3: 659.0000 .. 810.0000 cents 151.00000 cents 118.00000 cents 4: 832.0000 .. 1076.0000 cents 244.00000 cents 22.00000 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 124.00000 cents, class 1 Average step (divided formal octave): 240.0000 cents Largest one step interval : 368.00000 cents Average / Smallest step : 1.935484 Largest / Average step : 1.533333 Largest / Smallest step : 2.967742 Median interval of one step : 266.00000 cents, amount: 1 Least squares average step : 250.25455 cents, oct.: 1251.27273 cents Scale is strictly proper Scale is a mode of a 1200-tone equal temperament with octave 1200.000 cents degrees: 266 535 708 1076 1200 Least number of segments generator : 601 of 601.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 1151 of 1151.000 cents and inv. generated superset size: 186 = 181 more = 3720.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDE Step pattern size order : CDBEA Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 22.00000 cents Scale diversity : 1.647734 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.341667 Rothenberg efficiency : 0.400000 redundancy: 0.600000 Efficiency x scale size : 2.000000 Number of different interval sizes : 20 = 5.00000 / class Number of one step interval sizes : 5 Highest interval variety : 5 Mean interval variety : 5.00000 = 5 Median interval variety : 5 Lowest interval variety : 5 Smallest interval difference : 3.00000 cents Number of recognisable fifths : 1, average 708.0000 cents Best fifths form a closed circle Formal octave complements present : 1 = 20.0000% -- Rational properties --
FIT/MODE
5: 1 1 1 1 1 SP B ME I SD: 58.8235 c. M: 116.0000 c. 7: 1 2 1 2 1 P M ME I SD: 49.2320 c. M: 94.5714 c. Thai mode 2 8: 2 2 1 2 1 P M ME S SD: 39.5500 c. M:-65.0000 c. Father-5 9: 2 2 1 3 1 P D3 S SD: 18.9672 c. M: 41.3333 c. 12: 3 2 2 4 1 P SD: 24.5805 c. M: 35.0000 c. Raga Nata, Udayaravicandrika, Madhuranjani 13: 3 3 2 4 1 P SD: 21.9399 c. M:-31.6923 c. 17: 4 4 2 5 2 SP T3 S SD: 17.0257 c. M:-29.7059 c. 18: 4 4 3 5 2 SP SD: 12.1005 c. M:-25.3333 c. 21: 5 4 3 7 2 P SD: 16.7854 c. M: 22.2857 c. 22: 5 5 3 7 2 P SD: 8.6951 c. M:-14.9091 c. 27: 6 6 4 8 3 SP SD: 4.4724 c. M: 9.3333 c. 41: 9 9 6 13 4 P SD: 5.5200 c. M: 8.1707 c. 49: 11 11 7 15 5 SP SD: 2.5689 c. M:-3.7755 c. 76: 17 17 11 23 8 SP SD: 2.0494 c. M:-2.5263 c. 85: 19 19 12 26 9 SP SD: 2.0494 c. M: 3.0588 c. 105: 23 24 15 32 11 SP SD: 1.8833 c. M: 3.1429 c. 108: 24 24 16 33 11 SP SD: 1.7923 c. M:-3.1111 c. 117: 26 26 17 36 12 SP SD: 0.9131 c. M: 1.6667 c. 144: 32 32 21 44 15 SP SD: 0.9309 c. M: 1.6667 c. 166: 37 37 24 51 17 SP SD: 0.8463 c. M:-1.4699 c. 193: 43 43 28 59 20 SP SD: 0.7351 c. M:-1.3575 c. 202: 45 45 29 62 21 SP SD: 0.8473 c. M:-1.3267 c. 222: 49 50 32 68 23 SP SD: 0.5336 c. M: 1.1351 c. 244: 54 55 35 75 25 SP SD: 0.7009 c. M:-1.0656 c. 271: 60 61 39 83 28 SP SD: 0.4399 c. M:-0.7934 c. 339: 75 76 49 104 35 SP SD: 0.3203 c. M: 0.5133 c. 388: 86 87 56 119 40 SP SD: 0.1718 c. M:-0.2887 c. 727: 161 163 105 223 75 SP SD: 0.1773 c. M: 0.2503 c. 785: 174 176 113 241 81 SP SD: 0.1308 c. M: 0.2293 c. 812: 180 182 117 249 84 SP SD: 0.0821 c. M: 0.1379 c. 1200: 266 269 173 368 124 SP SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x 2 S SD: 0.0000 cents 2 x x 3 x 4 S SD: 3.0225 cents 3 x 4:5 x 6 S SD: 60.0630 cents 4:5 x 6:7:8 S SD: 40.3099 cents 5:6:7:8:9:10 H SD: 27.7865 cents 6:7:8:9:11:12 SD: 9.1924 cents 14:16:19:21:26:28 SD: 7.2325 cents 19:22:26:29:35:38 SD: 6.7220 cents 20:23:27:30:37:40 SD: 6.2400 cents 22:26:30:33:41:44 SD: 4.8253 cents 24:28:33:36:45:48 SD: 4.2619 cents 28:33:38:42:52:56 SD: 4.1721 cents 30:35:41:45:56:60 SD: 1.9145 cents 36:42:49:54:67:72 SD: 1.2530 cents 85:99:116:128:158:170 SD: 0.9614 cents 91:106:124:137:169:182 SD: 0.9474 cents 97:113:132:146:181:194 SD: 0.9128 cents 103:120:140:155:192:206 SD: 0.9076 cents 115:134:157:173:214:230 SD: 0.8730 cents 121:141:165:182:225:242 SD: 0.6703 cents 138:161:188:208:257:276 SD: 0.5055 cents 168:196:229:253:313:336 SD: 0.4269 cents 174:203:237:262:324:348 SD: 0.2167 cents 210:245:286:316:391:420 SD: 0.2145 cents 295:344:402:444:549:590 SD: 0.2113 cents 356:415:485:536:663:712 SD: 0.1867 cents 362:422:493:545:674:724 SD: 0.1327 cents 392:457:534:590:730:784 SD: 0.1293 cents 398:464:542:599:741:796 SD: 0.1172 cents 536:625:730:807:998:1072 SD: 0.0969 cents 566:660:771:852:1054:1132 SD: 0.0843 cents 572:667:779:861:1065:1144 SD: 0.0591 cents