Scala analysis: Peru_Kero_01
K’ero 1 (Kanchis sipas), Peru
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 250.000 cents 250.000000 2: 460.000 cents 460.000000 3: 670.000 cents 670.000000 4: 870.000 cents 870.000000 5: 1090.000 cents 1090.000000 6: 1390.000 cents 1390.000000
SHOW/INTERVAL
0: 300.0000 cents 300.0000 1: 250.0000 cents 250.0000 2: 210.0000 cents 210.0000 3: 210.0000 cents 210.0000 4: 200.0000 cents 200.0000 5: 220.0000 cents 220.0000 6: 300.0000 cents 300.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 200.00000 cents 1: 2 210.00000 cents 1: 1 220.00000 cents 1: 1 250.00000 cents 1: 1 300.00000 cents 2: 1 410.00000 cents 2: 2 420.00000 cents 2: 1 460.00000 cents 2: 1 520.00000 cents 2: 1 550.00000 cents 3: 1 620.00000 cents 3: 1 630.00000 cents 3: 1 670.00000 cents 3: 1 720.00000 cents 3: 1 760.00000 cents 3: 1 770.00000 cents 4: 1 840.00000 cents 4: 1 870.00000 cents 4: 1 930.00000 cents 4: 2 970.00000 cents 4: 1 980.00000 cents 5: 1 1090.00000 cents 5: 1 1140.00000 cents 5: 1 1170.00000 cents 5: 2 1180.00000 cents 5: 1 1190.00000 cents Highest number of different intervals for one interval class: 6 Average number of different intervals per interval class: 5.20000 = 26/5
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 0.0 : 250.0 460.0 670.0 870.0 1090.0 1390.0 250.0 : 210.0 420.0 620.0 840.0 1140.0 1390.0 460.0 : 210.0 410.0 630.0 930.0 1180.0 1390.0 670.0 : 200.0 420.0 720.0 970.0 1180.0 1390.0 870.0 : 220.0 520.0 770.0 980.0 1190.0 1390.0 1090.0: 300.0 550.0 760.0 970.0 1170.0 1390.0 1390.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 200.0000 .. 300.0000 cents 100.00000 cents 200.00000 cents 2: 410.0000 .. 550.0000 cents 140.00000 cents 110.00000 cents 3: 620.0000 .. 770.0000 cents 150.00000 cents 70.00000 cents 4: 840.0000 .. 980.0000 cents 140.00000 cents 70.00000 cents 5: 1090.0000 .. 1190.0000 cents 100.00000 cents 110.00000 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 200.00000 cents, class 1 Average step (divided formal octave): 231.6667 cents Largest one step interval : 300.00000 cents Average / Smallest step : 1.158333 Largest / Average step : 1.294964 Largest / Smallest step : 1.500000 Median interval of one step : 215.00000 cents, amount: 0 Most common interval of one step : 210.00000 cents, amount: 2 Least squares average step : 224.72527 cents, oct.: 1348.35165 cents Scale is strictly proper Scale is a mode of a 139-tone equal temperament with octave 1390.000 cents degrees: 25 46 67 87 109 139 Least number of segments generator : 70 of 700.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 103 of 1030.000 cents and inv. generated superset size: 45 = 39 more = 750.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABBCDE Step pattern size order : DBBACE Interval vector is [ 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 1 1 0 0 0 1 0 0 ] Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 70.00000 cents Scale diversity : 1.086123 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.546763 Rothenberg efficiency : 0.377778 redundancy: 0.622222 Efficiency x scale size : 2.266667 Number of different interval sizes : 26 = 5.20000 / class Number of one step interval sizes : 5 Highest interval variety : 6 Mean interval variety : 5.20000 = 26/5 Median interval variety : 5 Lowest interval variety : 5 Smallest interval difference : 10.00000 cents Number of recognisable fifths : 1, average 720.0000 cents Number of appreciable fifths : 0 Number of recognisable fourths : 0 Formal octave complements present : 1 = 16.6667% 2/1 octave complements present : 0 = 0.0000% -- Rational properties --
FIT/MODE
6: 1 1 1 1 1 1 SP B ME I SD: 38.4118 c. M:-68.3333 c. Whole-tone, Messiaen mode 1, Raga Gopriya, Anhemitonic Hexatonic 9: 2 1 1 2 1 2 P D3 SD: 39.7834 c. M:-58.8889 c. 10: 2 1 2 1 2 2 P D3 SD: 28.9770 c. M: 43.0000 c. 13: 2 2 2 2 2 3 SP M ME SD: 25.1857 c. M: 36.1538 c. 15: 3 2 2 2 3 3 P SD: 22.4730 c. M: 36.0000 c. 16: 3 2 3 2 3 3 SP D3 SD: 22.1603 c. M:-39.3750 c. 18: 3 3 3 2 3 4 SP T3 SD: 15.6725 c. M:-25.0000 c. 21: 4 3 3 3 3 5 P SD: 14.9628 c. M: 30.9524 c. 23: 4 4 3 3 4 5 SP SD: 14.2785 c. M: 23.9130 c. 24: 4 4 4 3 4 5 SP T3 SD: 13.4306 c. M:-25.0000 c. 27: 5 4 4 4 4 6 SP SD: 5.3608 c. M: 8.8889 c. 46: 8 7 7 7 7 10 SP SD: 5.5580 c. M: 8.2609 c. 51: 9 8 8 7 8 11 SP SD: 5.2802 c. M:-11.3725 c. 56: 10 9 8 8 9 12 SP SD: 4.9007 c. M:-11.6071 c. 60: 11 9 9 9 9 13 SP SD: 4.9324 c. M:-10.3333 c. 61: 11 9 9 9 10 13 SP SD: 4.7239 c. M: 9.1803 c. 66: 12 10 10 9 11 14 SP SD: 4.1443 c. M: 6.5152 c. 69: 12 11 10 10 11 15 SP SD: 4.5735 c. M: 8.2609 c. 70: 13 10 11 10 11 15 SP SD: 4.5081 c. M:-8.1429 c. 73: 13 11 11 11 11 16 SP SD: 3.7469 c. M:-5.8904 c. 78: 14 12 12 11 12 17 SP SD: 3.6943 c. M:-7.1795 c. 79: 14 12 12 11 13 17 SP SD: 3.7461 c. M: 7.8481 c. 83: 15 12 13 12 13 18 SP SD: 3.3065 c. M: 7.8313 c. 85: 15 13 13 12 14 18 SP SD: 3.4057 c. M:-5.6471 c. 88: 16 13 13 13 14 19 SP SD: 3.0601 c. M: 6.5909 c. 91: 16 14 14 13 14 20 SP SD: 3.4030 c. M: 5.6044 c. 93: 17 14 14 13 15 20 SP SD: 2.7491 c. M:-4.0860 c. 96: 17 15 14 14 15 21 SP SD: 3.1544 c. M: 4.0625 c. 99: 18 15 15 14 16 21 SP SD: 3.1849 c. M:-5.1515 c. 102: 18 16 15 15 16 22 SP SD: 2.6780 c. M: 4.7059 c. 106: 19 16 16 15 17 23 SP SD: 2.0968 c. M: 4.5283 c. 112: 20 17 17 16 18 24 SP SD: 1.2923 c. M:-2.1429 c. 139: 25 21 21 20 22 30 SP SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x 2 x S SD: 110.0000 cents 2 x x 3 x 4 x S SD: 57.2737 cents 3 x 4 x 5:6:7 S SD: 35.0560 cents 4 x 5:6:7:8:9 S SD: 33.7703 cents 5:6 x 7:8:9:11 SD: 28.9836 cents 6:7:8:9:10:11:13 SD: 14.1965 cents 11:13:14:16:18:21:25 SD: 12.8548 cents 12:14:16:18:20:23:27 SD: 11.1454 cents 13:15:17:19:21:24:29 SD: 8.4840 cents 17:20:22:25:28:32:38 SD: 5.8791 cents 23:27:30:34:38:43:51 SD: 5.2208 cents 25:29:33:37:41:47:56 SD: 4.6584 cents 26:30:34:38:43:49:58 SD: 2.6179 cents 40:46:52:59:66:75:89 SD: 2.0279 cents 46:53:60:68:76:86:103 SD: 2.0011 cents 57:66:74:84:94:107:127 SD: 1.7261 cents 63:73:82:93:104:118:141 SD: 1.6419 cents 66:76:86:97:109:124:147 SD: 1.3573 cents 72:83:94:106:119:135:161 SD: 0.9253 cents 89:103:116:131:147:167:199 SD: 0.7827 cents 121:140:158:178:200:227:270 SD: 0.6187 cents 129:149:168:190:213:242:288 SD: 0.5725 cents 155:179:202:228:256:291:346 SD: 0.4854 cents 161:186:210:237:266:302:359 SD: 0.3672 cents 220:254:287:324:364:413:491 SD: 0.3607 cents 233:269:304:343:385:437:520 SD: 0.3345 cents 237:274:309:349:392:445:529 SD: 0.3205 cents 250:289:326:368:413:469:558 SD: 0.2957 cents 302:349:394:445:499:567:674 SD: 0.2502 cents 309:357:403:455:511:580:690 SD: 0.1988 cents 398:460:519:586:658:747:888 SD: 0.1848 cents 444:513:579:654:734:833:991 SD: 0.1615 cents 470:543:613:692:777:882:1049 SD: 0.0839 cents