Scala analysis: Ethiopia_Mus_01_Bati_Zafan
Mus 1 Bati Zafan, Ethiopia
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 332.000 cents 332.000000 2: 513.000 cents 513.000000 3: 702.000 cents 702.000000 4: 1075.000 cents 1075.000000 5: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 125.0000 cents 125.0000 1: 332.0000 cents 332.0000 2: 181.0000 cents 181.0000 3: 189.0000 cents 189.0000 4: 373.0000 cents 373.0000 5: 125.0000 cents 125.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 125.00000 cents 1: 1 181.00000 cents 1: 1 189.00000 cents 1: 1 332.00000 cents 1: 1 373.00000 cents 2: 1 370.00000 cents 2: 1 457.00000 cents 2: 1 498.00000 cents 2: 1 513.00000 cents 2: 1 562.00000 cents 3: 1 638.00000 cents 3: 1 687.00000 cents 3: 1 702.00000 cents 3: 1 743.00000 cents 3: 1 830.00000 cents 4: 1 827.00000 cents 4: 1 868.00000 cents 4: 1 1011.00000 cents 4: 1 1019.00000 cents 4: 1 1075.00000 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 : 332.0 513.0 702.0 1075.0 1200.0 332.0 : 181.0 370.0 743.0 868.0 1200.0 513.0 : 189.0 562.0 687.0 1019.0 1200.0 702.0 : 373.0 498.0 830.0 1011.0 1200.0 1075.0: 125.0 457.0 638.0 827.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 125.0000 .. 373.0000 cents 248.00000 cents 125.00000 cents 2: 370.0000 .. 562.0000 cents 192.00000 cents -3.00000 cents 3: 638.0000 .. 830.0000 cents 192.00000 cents 76.00000 cents 4: 827.0000 .. 1075.0000 cents 248.00000 cents -3.00000 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 125.00000 cents, class 1 Average step (divided formal octave): 240.0000 cents Largest one step interval : 373.00000 cents Average / Smallest step : 1.920000 Largest / Average step : 1.554167 Largest / Smallest step : 2.984000 Median interval of one step : 189.00000 cents, amount: 1 Least squares average step : 250.25455 cents, oct.: 1251.27273 cents Scale is not proper Scale is a mode of a 1200-tone equal temperament with octave 1200.000 cents degrees: 332 513 702 1075 1200 Least number of segments generator : 601 of 601.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 1051 of 1051.000 cents and inv. generated superset size: 294 = 289 more = 5880.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDE Step pattern size order : DBCEA Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 3.00000 cents Scale diversity : 1.598271 Lumma stability : 0.271667 Lumma impropriety factor : 0.005000 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 : 2, average 694.5000 cents Number of appreciable fifths : 1, average 702.0000 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: 67.9735 c. M: 115.0000 c. 7: 2 1 1 2 1 P M ME S SD: 22.5405 c. M: 46.4286 c. Thai mode 6 10: 3 1 2 3 1 P T3 SD: 21.0808 c. M: 33.0000 c. Pelog Degung: Sunda 12: 3 2 2 4 1 P SD: 19.0893 c. M: 32.0000 c. Raga Nata, Udayaravicandrika, Madhuranjani 14: 4 2 2 5 1 N SD: 19.6373 c. M:-39.2857 c. 16: 4 3 2 5 2 P SD: 22.4589 c. M: 32.0000 c. 17: 5 2 3 5 2 P T3 SD: 14.6412 c. M:-20.9412 c. 19: 5 3 3 6 2 P SD: 8.6848 c. M: 16.2105 c. 26: 7 4 4 8 3 P SD: 8.7515 c. M: 13.4615 c. 29: 8 4 5 9 3 P SD: 7.4070 c. M: 16.4483 c. 32: 9 5 5 10 3 P SD: 9.3888 c. M:-12.5000 c. 36: 10 5 6 11 4 P SD: 6.9889 c. M: 13.0000 c. 37: 10 6 6 11 4 SP SD: 7.0552 c. M:-11.5135 c. 39: 11 6 6 12 4 P SD: 5.9899 c. M:-10.0769 c. 46: 13 7 7 14 5 P SD: 5.6967 c. M:-8.7391 c. 50: 14 7 8 16 5 N SD: 5.6214 c. M: 9.0000 c. 51: 14 8 8 16 5 P SD: 4.4144 c. M:-7.3529 c. 58: 16 9 9 18 6 P SD: 2.0862 c. M:-4.2414 c. 65: 18 10 10 20 7 P SD: 2.5922 c. M: 4.2308 c. 68: 19 10 11 21 7 P SD: 2.4336 c. M:-3.8824 c. 77: 21 12 12 24 8 P SD: 2.2180 c. M: 4.7273 c. 79: 22 12 12 25 8 N SD: 2.8095 c. M:-3.4810 c. 84: 23 13 13 26 9 P SD: 2.4561 c. M: 3.5714 c. 87: 24 13 14 27 9 P SD: 1.4712 c. M: 2.6552 c. 94: 26 14 15 29 10 P SD: 1.5921 c. M: 2.6596 c. 126: 35 19 20 39 13 P SD: 1.5796 c. M:-2.7619 c. 133: 37 20 21 41 14 P SD: 1.4033 c. M:-1.8346 c. 145: 40 22 23 45 15 P SD: 0.8699 c. M:-1.4483 c. 152: 42 23 24 47 16 P SD: 0.6830 c. M: 1.3158 c. 210: 58 32 33 65 22 P SD: 0.8031 c. M:-1.2857 c. 231: 64 35 36 72 24 N SD: 0.7027 c. M:-1.2857 c. 239: 66 36 38 74 25 P SD: 0.6738 c. M:-0.9289 c. 241: 67 36 38 75 25 N SD: 0.7596 c. M:-1.6100 c. 250: 69 38 39 78 26 N SD: 0.7043 c. M: 1.2000 c. 260: 72 39 41 81 27 N SD: 0.4324 c. M: 0.6923 c. 318: 88 48 50 99 33 N SD: 0.2384 c. M:-0.4717 c. 412: 114 62 65 128 43 N SD: 0.2036 c. M: 0.3786 c. 470: 130 71 74 146 49 N SD: 0.1196 c. M:-0.1915 c. 730: 202 110 115 227 76 N SD: 0.0770 c. M: 0.1233 c. 882: 244 133 139 274 92 N SD: 0.0859 c. M: 0.1701 c. 1200: 332 181 189 373 125 N 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: 0.0225 cents 3 x 4:5 x 6 S SD: 60.9903 cents 4:5 x 6:7:8 S SD: 29.8150 cents 5:6:7:8:9:10 H SD: 28.8919 cents 6:7:8:9:11:12 SD: 14.3146 cents 8:10:11:12:15:16 S SD: 13.5563 cents 12:15:16:18:22:24 SD: 12.3788 cents 14:17:19:21:26:28 SD: 3.3107 cents 34:41:46:51:63:68 SD: 2.9726 cents 38:46:51:57:71:76 SD: 1.6263 cents 52:63:70:78:97:104 SD: 0.9321 cents 108:131:145:162:201:216 SD: 0.7492 cents 122:148:164:183:227:244 SD: 0.5187 cents 128:155:172:192:238:256 SD: 0.4054 cents 142:172:191:213:264:284 SD: 0.2904 cents 180:218:242:270:335:360 SD: 0.1634 cents 194:235:261:291:361:388 SD: 0.1225 cents 322:390:433:483:599:644 SD: 0.1119 cents 374:453:503:561:696:748 SD: 0.0704 cents 516:625:694:774:960:1032 SD: 0.0623 cents