Scala analysis: Indonesia_Udanriris
Udanriris (Saron Demung or Gender Barung), Indonesia
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 236.000 cents 236.000000 2: 464.000 cents 464.000000 3: 704.000 cents 704.000000 4: 964.000 cents 964.000000 5: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 236.0000 cents 236.0000 1: 236.0000 cents 236.0000 2: 228.0000 cents 228.0000 3: 240.0000 cents 240.0000 4: 260.0000 cents 260.0000 5: 236.0000 cents 236.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 228.00000 cents 1: 2 236.00000 cents 1: 1 240.00000 cents 1: 1 260.00000 cents 2: 1 464.00000 cents 2: 1 468.00000 cents 2: 1 472.00000 cents 2: 1 496.00000 cents 2: 1 500.00000 cents 3: 1 700.00000 cents 3: 1 704.00000 cents 3: 1 728.00000 cents 3: 1 732.00000 cents 3: 1 736.00000 cents 4: 1 940.00000 cents 4: 1 960.00000 cents 4: 2 964.00000 cents 4: 1 972.00000 cents Highest number of different intervals for one interval class: 5 Average number of different intervals per interval class: 4.50000 = 9/2
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 0.0 : 236.0 464.0 704.0 964.0 1200.0 236.0 : 228.0 468.0 728.0 964.0 1200.0 464.0 : 240.0 500.0 736.0 972.0 1200.0 704.0 : 260.0 496.0 732.0 960.0 1200.0 964.0 : 236.0 472.0 700.0 940.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 228.0000 .. 260.0000 cents 32.00000 cents 228.00000 cents 2: 464.0000 .. 500.0000 cents 36.00000 cents 204.00000 cents 3: 700.0000 .. 736.0000 cents 36.00000 cents 200.00000 cents 4: 940.0000 .. 972.0000 cents 32.00000 cents 204.00000 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 228.00000 cents, class 1 Average step (divided formal octave): 240.0000 cents Largest one step interval : 260.00000 cents Average / Smallest step : 1.052632 Largest / Average step : 1.083333 Largest / Smallest step : 1.140351 Median interval of one step : 236.00000 cents, amount: 2 Most common interval of one step : 236.00000 cents, amount: 2 Least squares average step : 238.76364 cents, oct.: 1193.81818 cents Scale is strictly proper Scale is a mode of a 300-tone equal temperament with octave 1200.000 cents degrees: 59 116 176 241 300 Least number of segments generator : 151 of 604.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 161 of 644.000 cents and inv. generated superset size: 64 = 59 more = 1280.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDA Step pattern size order : BACDB Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 200.00000 cents Scale diversity : 1.141328 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.886667 Rothenberg efficiency : 0.440000 redundancy: 0.560000 Efficiency x scale size : 2.200000 Number of different interval sizes : 18 = 4.50000 / class Number of one step interval sizes : 4 Highest interval variety : 5 Mean interval variety : 4.50000 = 9/2 Median interval variety : 4.5 Lowest interval variety : 4 Smallest interval difference : 4.00000 cents Most common intervals : 236.00000 cents & inv., amount: 2 Most common triad is 0.0 236.000 964.000 cents, amount: 1 Number of recognisable fifths : 2, average 702.0000 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 : 3 = 60.0000% Limited transpositions with margin 36.0000 cents: 1 2 3 4 Limited inverse transpositions with margin 36.0000 cents: 1 2 3 4 -- Rational properties --
FIT/MODE
5: 1 1 1 1 1 SP B ME I SD: 10.4307 c. M:-16.0000 c. 21: 4 4 4 5 4 SP M ME S SD: 9.9172 c. M: 18.2857 c. 24: 5 4 5 5 5 SP M ME S SD: 10.9909 c. M: 14.0000 c. 26: 5 5 5 6 5 SP M ME S SD: 6.2848 c. M: 11.6923 c. 31: 6 6 6 7 6 SP M ME S SD: 4.0121 c. M: 7.2258 c. Slendric-5 36: 7 7 7 8 7 SP M ME S SD: 2.7325 c. M: 4.0000 c. Slendric-5 41: 8 8 8 9 8 SP M ME S SD: 2.3552 c. M:-4.2927 c. Rodan-5 60: 12 11 12 13 12 SP T3 SD: 3.5777 c. M:-4.0000 c. 65: 13 12 13 14 13 SP T3 SD: 2.9705 c. M:-4.0000 c. 70: 14 13 14 15 14 SP T3 SD: 2.6311 c. M: 4.0000 c. 75: 15 14 15 16 15 SP T3 SD: 2.5298 c. M:-4.0000 c. 77: 15 15 15 17 15 SP M DE S SD: 2.4395 c. M:-3.5325 c. Slendric-5 87: 17 17 17 19 17 SP M DE S SD: 2.4317 c. M:-4.9655 c. Rodan-5 91: 18 17 18 20 18 SP T3 SD: 2.6748 c. M: 5.0989 c. 96: 19 18 19 21 19 SP T3 SD: 2.1331 c. M: 4.0000 c. 101: 20 19 20 22 20 SP T3 SD: 1.7166 c. M: 3.0099 c. 106: 21 20 21 23 21 SP T3 SD: 1.4502 c. M: 2.1132 c. 111: 22 21 22 24 22 SP T3 SD: 1.3555 c. M:-1.8378 c. 142: 28 27 28 31 28 SP T3 SD: 1.2733 c. M: 2.5915 c. 147: 29 28 29 32 29 SP T3 SD: 1.1510 c. M: 1.9592 c. 148: 29 28 30 32 29 SP SD: 1.1704 c. M: 1.8378 c. 152: 30 29 30 33 30 SP T3 SD: 1.1396 c. M:-1.7895 c. 153: 30 29 31 33 30 SP SD: 1.1059 c. M:-1.8824 c. 158: 31 30 32 34 31 SP SD: 1.1443 c. M:-2.3291 c. 179: 35 34 36 39 35 SP SD: 1.0742 c. M: 1.4302 c. 184: 36 35 37 40 36 SP SD: 0.8944 c. M:-1.2174 c. 189: 37 36 38 41 37 SP SD: 0.7961 c. M: 1.0794 c. 194: 38 37 39 42 38 SP SD: 0.7924 c. M:-1.1546 c. 240: 47 46 48 52 47 SP SD: 0.8944 c. M:-1.0000 c. 244: 48 46 49 53 48 SP SD: 0.8289 c. M: 1.7049 c. 249: 49 47 50 54 49 SP SD: 0.6342 c. M: 1.3494 c. 254: 50 48 51 55 50 SP SD: 0.4727 c. M: 1.0079 c. 259: 51 49 52 56 51 SP SD: 0.3728 c. M: 0.6795 c. 264: 52 50 53 57 52 SP SD: 0.3726 c. M:-0.5455 c. 290: 57 55 58 63 57 SP SD: 0.3597 c. M: 0.5517 c. 295: 58 56 59 64 58 SP SD: 0.1768 c. M: 0.2712 c. 300: 59 57 60 65 59 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: 1.0225 cents 3 x 4 x 5:6 S SD: 28.8710 cents 4 x 5:6:7:8 S SD: 19.4657 cents 6:7:8:9:10:12 S SD: 18.3946 cents 7:8:9:11:12:14 SD: 17.8588 cents 8:9:10:12:14:16 S SD: 16.8433 cents 12:14:16:18:21:24 S SD: 9.2510 cents 14:16:18:21:24:28 S SD: 8.5244 cents 16:18:21:24:28:32 S SD: 6.6430 cents 20:23:26:30:35:40 SD: 2.5201 cents 36:41:47:54:63:72 SD: 2.4570 cents 42:48:55:63:73:84 SD: 1.8382 cents 48:55:63:72:84:96 SD: 1.7153 cents 62:71:81:93:108:124 SD: 0.8368 cents 82:94:107:123:143:164 SD: 0.8189 cents 110:126:144:165:192:220 SD: 0.6412 cents 130:149:170:195:227:260 SD: 0.4658 cents 185:212:242:278:323:370 SD: 0.3338 cents 205:235:268:308:358:410 SD: 0.2992 cents 247:283:323:371:431:494 SD: 0.1422 cents 267:306:349:401:466:534 SD: 0.0805 cents 514:589:672:772:897:1028 SD: 0.0569 cents