Scala analysis: slendro10
Low gender from Singaraja (banjar Lod Peken), Bali, 1/12 Hz, McPhee, 1966
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 261.110 cents 261.109720 2: 465.020 cents 465.019720 3: 698.597 cents 698.596640 4: 991.681 cents 991.680810 5: 2/1 1200.000000 octave
SHOW/INTERVAL
0: 208.3192 cents 208.3192 1: 261.1097 cents 261.1097 2: 203.9100 cents 203.9100 3: 233.5769 cents 233.5769 4: 293.0842 cents 293.0842 5: 208.3192 cents 208.3192
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 203.91000 cents 1: 1 208.31919 cents 1: 1 233.57692 cents 1: 1 261.10972 cents 1: 1 293.08417 cents 2: 1 437.48692 cents 2: 1 465.01972 cents 2: 1 469.42891 cents 2: 1 501.40336 cents 2: 1 526.66109 cents 3: 1 673.33891 cents 3: 1 698.59664 cents 3: 1 730.57109 cents 3: 1 734.98028 cents 3: 1 762.51308 cents 4: 1 906.91583 cents 4: 1 938.89028 cents 4: 1 966.42308 cents 4: 1 991.68081 cents 4: 1 996.09000 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 : 261.1 465.0 698.6 991.7 1200.0 261.1 : 203.9 437.5 730.6 938.9 1200.0 465.0 : 233.6 526.7 735.0 996.1 1200.0 698.6 : 293.1 501.4 762.5 966.4 1200.0 991.7 : 208.3 469.4 673.3 906.9 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 203.9100 .. 293.0842 cents 89.17417 cents 203.91000 cents 2: 437.4869 .. 526.6611 cents 89.17417 cents 144.40275 cents 3: 673.3389 .. 762.5131 cents 89.17417 cents 146.67782 cents 4: 906.9158 .. 996.0900 cents 89.17417 cents 144.40275 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 203.91000 cents, class 1 Average step (divided formal octave): 240.0000 cents Largest one step interval : 293.08417 cents Average / Smallest step : 1.176990 Largest / Average step : 1.221184 Largest / Smallest step : 1.437321 Median interval of one step : 233.57692 cents, amount: 1 Least squares average step : 240.97568 cents, oct.: 1204.87839 cents Scale is strictly proper Step pattern alph. order: ABCDE Step pattern size order : DACEB Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 144.40275 cents Scale diversity : 1.380432 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.702753 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 : 4.40919 cents Number of recognisable fifths : 1, average 698.5966 cents Best fifths form a closed circle Best minor thirds form a closed circle Formal octave complements present : 1 = 20.0000% -- Rational properties -- Prime limit : 2 (not all pitches rational)
FIT/MODE
5: 1 1 1 1 1 SP B ME I SD: 20.6485 c. M: 31.6808 c. 12: 3 2 2 3 2 SP M ME S SD: 23.6949 c. M:-38.8903 c. Minor Pentatonic, Blues Pentatonic, Raga Dhani (Suddha Dhanyasi), Abheri, Udhayaravi Chandrika, Qing Shang, Gu Xian, Jia Zhong, Yu: China, P'yongjo-kyemyonjo: Korea, Minyo: Japan, Lai Yai, Lai Noi: Laos, Nam, Northern Sa mac: Vietnam, Peruvian Pentatonic 2, Batti Minor: Ethiopia 13: 3 2 3 3 2 SP M ME S SD: 21.9694 c. M:-39.8649 c. 16: 3 3 3 4 3 SP M ME S SD: 21.7465 c. M: 36.1097 c. 17: 4 3 3 4 3 SP M ME S SD: 16.5101 c. M:-29.0979 c. Seventeen-tone Minor Pentatonic, Supra-5, Salendro Sejati: Sunda 18: 4 3 3 5 3 SP T3 SD: 14.9822 c. M: 31.9300 c. 19: 4 3 4 5 3 SP T3 SD: 13.9068 c. M: 22.9145 c. 23: 5 4 4 6 4 SP T3 SD: 9.3210 c. M: 20.3358 c. 24: 5 4 5 6 4 SP T3 SD: 9.1673 c. M: 15.0197 c. 28: 6 5 5 7 5 SP T3 SD: 7.1884 c. M: 12.8824 c. 29: 6 5 6 7 5 SP T3 SD: 7.5794 c. M: 12.8339 c. 33: 7 6 6 8 6 SP T3 SD: 7.1954 c. M: 9.8626 c. 36: 8 6 7 9 6 SP SD: 4.5776 c. M:-8.3192 c. 41: 9 7 8 10 7 SP SD: 2.9199 c. M:-3.8424 c. 69: 15 12 13 17 12 SP SD: 2.4303 c. M:-4.5455 c. 88: 19 15 17 22 15 SP SD: 2.4537 c. M:-3.7737 c. 91: 20 15 18 22 16 SP SD: 2.2908 c. M: 3.4813 c. 93: 20 16 18 23 16 SP SD: 1.8075 c. M: 3.0452 c. 98: 21 17 19 24 17 SP SD: 1.8027 c. M: 3.9669 c. 129: 28 22 25 32 22 SP SD: 1.7164 c. M:-3.6680 c. 132: 29 22 26 32 23 SP SD: 1.4739 c. M:-2.5266 c. 134: 29 23 26 33 23 SP SD: 1.2597 c. M:-2.3490 c. 137: 30 23 27 33 24 SP SD: 1.5197 c. M:-2.1333 c. 139: 30 24 27 34 24 SP SD: 1.2310 c. M: 2.1169 c. 155: 34 26 30 38 27 SP SD: 1.3085 c. M:-2.1161 c. 160: 35 27 31 39 28 SP SD: 1.0919 c. M: 1.6808 c. 180: 39 31 35 44 31 SP SD: 1.3149 c. M:-1.6525 c. 184: 40 31 36 45 32 SP SD: 0.9694 c. M: 1.9762 c. 189: 41 32 37 46 33 SP SD: 0.9430 c. M: 1.5277 c. 201: 44 34 39 49 35 SP SD: 0.8153 c. M:-1.5768 c. 206: 45 35 40 50 36 SP SD: 0.9133 c. M: 1.3895 c. 220: 48 37 43 54 38 SP SD: 0.8582 c. M: 1.3834 c. 225: 49 38 44 55 39 SP SD: 0.4892 c. M: 1.0197 c. 230: 50 39 45 56 40 SP SD: 0.4326 c. M: 0.6719 c. 271: 59 46 53 66 47 SP SD: 0.4769 c. M:-1.0344 c. 294: 64 50 57 72 51 SP SD: 0.3243 c. M: 0.6375 c. 299: 65 51 58 73 52 SP SD: 0.3331 c. M:-0.5321 c. 483: 105 82 94 118 84 SP SD: 0.3436 c. M: 0.4600 c. 519: 113 88 101 127 90 SP SD: 0.2304 c. M: 0.3307 c. 524: 114 89 102 128 91 SP SD: 0.0905 c. M: 0.1342 c. 1089: 237 185 212 266 189 SP SD: 0.0345 c. M:-0.0547 c. 1613: 351 274 314 394 280 SP SD: 0.0255 c. M: 0.0476 c.
FIT/HARMONIC
1 x x x x 2 S SD: 0.0000 cents 2 x x 3 x 4 S SD: 1.6792 cents 3 x 4 x 5:6 S SD: 37.4295 cents 4 x 5:6:7:8 S SD: 20.5065 cents 5:6 x 8:9:10 S SD: 32.4913 cents 6:7:8:9:11:12 SD: 13.3602 cents 10:12:13:15:18:20 SD: 12.2855 cents 12:14:16:18:21:24 S SD: 8.1424 cents 18:21:24:27:32:36 SD: 6.7958 cents 19:22:25:28:34:38 SD: 6.7767 cents 20:23:26:30:35:40 SD: 6.3783 cents 22:26:29:33:39:44 SD: 6.2496 cents 23:27:30:34:41:46 SD: 5.8655 cents 24:28:31:36:43:48 SD: 5.8157 cents 25:29:33:37:44:50 SD: 5.7461 cents 26:30:34:39:46:52 SD: 2.8693 cents 30:35:39:45:53:60 SD: 2.8480 cents 32:37:42:48:57:64 SD: 2.8318 cents 36:42:47:54:64:72 SD: 1.7393 cents 61:71:80:91:108:122 SD: 1.6393 cents 62:72:81:93:110:124 SD: 0.9404 cents 97:113:127:145:172:194 SD: 0.8796 cents 110:128:144:165:195:220 SD: 0.7672 cents 111:129:145:166:197:222 SD: 0.7038 cents 123:143:161:184:218:246 SD: 0.3885 cents 159:185:208:238:282:318 SD: 0.2337 cents 185:215:242:277:328:370 SD: 0.2010 cents 344:400:450:515:610:688 SD: 0.0000 cents