Scala analysis: Ethiopia_Mus_04_Bati_Zafan
Mus 4 Bati Zafan, Ethiopia
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 351.000 cents 351.000000 2: 530.000 cents 530.000000 3: 712.000 cents 712.000000 4: 1063.000 cents 1063.000000 5: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 137.0000 cents 137.0000 1: 351.0000 cents 351.0000 2: 179.0000 cents 179.0000 3: 182.0000 cents 182.0000 4: 351.0000 cents 351.0000 5: 137.0000 cents 137.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 137.00000 cents 1: 1 179.00000 cents 1: 1 182.00000 cents 1: 2 351.00000 cents 2: 1 361.00000 cents 2: 2 488.00000 cents 2: 1 530.00000 cents 2: 1 533.00000 cents 3: 1 667.00000 cents 3: 1 670.00000 cents 3: 2 712.00000 cents 3: 1 839.00000 cents 4: 2 849.00000 cents 4: 1 1018.00000 cents 4: 1 1021.00000 cents 4: 1 1063.00000 cents Highest number of different intervals for one interval class: 4 Average number of different intervals per interval class: 4.00000 = 4
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 0.0 : 351.0 530.0 712.0 1063.0 1200.0 351.0 : 179.0 361.0 712.0 849.0 1200.0 530.0 : 182.0 533.0 670.0 1021.0 1200.0 712.0 : 351.0 488.0 839.0 1018.0 1200.0 1063.0: 137.0 488.0 667.0 849.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 137.0000 .. 351.0000 cents 214.00000 cents 137.00000 cents 2: 361.0000 .. 533.0000 cents 172.00000 cents 10.00000 cents 3: 667.0000 .. 839.0000 cents 172.00000 cents 134.00000 cents 4: 849.0000 .. 1063.0000 cents 214.00000 cents 10.00000 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 137.00000 cents, class 1 Average step (divided formal octave): 240.0000 cents Largest one step interval : 351.00000 cents Average / Smallest step : 1.751825 Largest / Average step : 1.462500 Largest / Smallest step : 2.562044 Median interval of one step : 182.00000 cents, amount: 1 Most common interval of one step : 351.00000 cents, amount: 2 Least squares average step : 250.89091 cents, oct.: 1254.45455 cents Scale is strictly proper Scale is a mode of a 1200-tone equal temperament with octave 1200.000 cents degrees: 351 530 712 1063 1200 Least number of segments generator : 601 of 601.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 949 of 949.000 cents and inv. generated superset size: 188 = 183 more = 3760.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCAD Step pattern size order : DBCDA Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 10.00000 cents Scale diversity : 1.396405 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.356667 Rothenberg efficiency : 0.480000 redundancy: 0.520000 Efficiency x scale size : 2.400000 Number of different interval sizes : 16 = 4.00000 / class Number of one step interval sizes : 4 Highest interval variety : 4 Mean interval variety : 4.00000 = 4 Median interval variety : 4 Lowest interval variety : 4 Smallest interval difference : 3.00000 cents Number of recognisable fifths : 2, average 712.0000 cents Best fifths form a closed circle Formal octave complements present : 1 = 20.0000% Limited inverse transpositions with margin 214.0000 cents: 4 -- Rational properties --
FIT/MODE
5: 1 1 1 1 1 SP B ME I SD: 71.4059 c. M: 111.0000 c. 7: 2 1 1 2 1 P M ME S SD: 20.9261 c. M: 34.4286 c. Thai mode 6 17: 5 3 2 5 2 P T3 SD: 15.8942 c. M:-34.7059 c. 18: 5 3 3 5 2 SP T3 S SD: 12.5839 c. M:-21.3333 c. 20: 6 3 3 6 2 P T3 S SD: 10.3344 c. M:-17.0000 c. 25: 7 4 4 7 3 SP T3 S SD: 8.2704 c. M: 15.0000 c. 27: 8 4 4 8 3 P T3 S SD: 3.0364 c. M:-4.5556 c. 52: 15 8 8 15 6 SP T3 S SD: 2.7448 c. M: 4.8462 c. 61: 18 9 9 18 7 P T3 S SD: 2.2750 c. M: 3.8033 c. 79: 23 12 12 23 9 SP T3 S SD: 1.3536 c. M:-1.9241 c. 86: 25 13 13 25 10 SP T3 S SD: 1.5031 c. M: 2.5349 c. 106: 31 16 16 31 12 SP T3 S SD: 1.1911 c. M:-2.0755 c. 113: 33 17 17 33 13 SP T3 S SD: 0.7229 c. M: 1.0531 c. 140: 41 21 21 41 16 SP T3 S SD: 0.7171 c. M:-1.4286 c. 219: 64 33 33 64 25 SP T3 S SD: 0.7040 c. M:-1.5068 c. 229: 67 34 35 67 26 SP SD: 0.5605 c. M:-0.7555 c. 236: 69 35 36 69 27 SP SD: 0.5536 c. M: 1.1864 c. 263: 77 39 40 77 30 SP SD: 0.3716 c. M: 0.7224 c. 315: 92 47 48 92 36 SP SD: 0.3651 c. M: 0.5238 c. 342: 100 51 52 100 39 SP SD: 0.1730 c. M:-0.2807 c. 455: 133 68 69 133 52 SP SD: 0.1367 c. M: 0.2308 c. 482: 141 72 73 141 55 SP SD: 0.1355 c. M:-0.2905 c. 718: 210 107 109 210 82 SP SD: 0.0910 c. M: 0.1950 c. 745: 218 111 113 218 85 SP SD: 0.0835 c. M:-0.1409 c. 824: 241 123 125 241 94 SP SD: 0.0896 c. M:-0.1359 c. 831: 243 124 126 243 95 SP SD: 0.1022 c. M: 0.1841 c. 858: 251 128 130 251 98 SP SD: 0.0689 c. M: 0.1119 c. 1087: 318 162 165 318 124 SP SD: 0.0752 c. M:-0.1095 c. 1173: 343 175 178 343 134 SP SD: 0.0699 c. M: 0.1049 c. 1200: 351 179 182 351 137 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: 5.0225 cents 3 x 4:5 x 6 S SD: 58.4320 cents 4:5 x 6:7:8 S SD: 25.2694 cents 6:7:8:9:11:12 SD: 18.3147 cents 8:10:11:12:15:16 S SD: 9.8811 cents 13:16:18:20:24:26 SD: 9.6543 cents 14:17:19:21:26:28 SD: 3.9974 cents 22:27:30:33:41:44 SD: 3.8946 cents 31:38:42:47:57:62 SD: 2.5725 cents 39:48:53:59:72:78 SD: 1.9727 cents 45:55:61:68:83:90 SD: 1.2900 cents 53:65:72:80:98:106 SD: 0.5512 cents 98:120:133:148:181:196 SD: 0.4662 cents 120:147:163:181:222:240 SD: 0.4235 cents 151:185:205:228:279:302 SD: 0.3323 cents 165:202:224:249:305:330 SD: 0.2579 cents 218:267:296:329:403:436 SD: 0.2040 cents 360:441:489:543:665:720 SD: 0.1659 cents 413:506:561:623:763:826 SD: 0.1568 cents 427:523:580:644:789:854 SD: 0.1290 cents 472:578:641:712:872:944 SD: 0.1095 cents 525:643:713:792:970:1050 SD: 0.0572 cents 578:708:785:872:1068:1156 SD: 0.0502 cents