Scala analysis: xen18-erlich-cynder-05
1L 4s MOS for Cynder, L=271.62, s=232.52
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 232.520 cents 232.520000 2: 465.040 cents 465.040000 3: 736.660 cents 736.660000 4: 969.180 cents 969.180000 5: 1201.700 cents 1201.700000
SHOW/INTERVAL
0: 232.5200 cents 232.5200 1: 232.5200 cents 232.5200 2: 232.5200 cents 232.5200 3: 271.6200 cents 271.6200 4: 232.5200 cents 232.5200 5: 232.5200 cents 232.5200
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 4 232.52000 cents 1: 1 271.62000 cents 2: 3 465.04000 cents 2: 2 504.14000 cents 3: 2 697.56000 cents 3: 3 736.66000 cents 4: 1 930.08000 cents 4: 4 969.18000 cents Highest number of different intervals for one interval class: 2 Average number of different intervals per interval class: 2.00000 = 2
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 0.0 : 232.5 465.0 736.7 969.2 1201.7 232.5 : 232.5 504.1 736.7 969.2 1201.7 465.0 : 271.6 504.1 736.7 969.2 1201.7 736.7 : 232.5 465.0 697.6 930.1 1201.7 969.2 : 232.5 465.0 697.6 969.2 1201.7 1201.7
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 232.5200 .. 271.6200 cents 39.10000 cents 232.52000 cents 2: 465.0400 .. 504.1400 cents 39.10000 cents 193.42000 cents 3: 697.5600 .. 736.6600 cents 39.10000 cents 193.42000 cents 4: 930.0800 .. 969.1800 cents 39.10000 cents 193.42000 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 232.52000 cents, class 1 Average step (divided formal octave): 240.3400 cents Largest one step interval : 271.62000 cents Average / Smallest step : 1.033632 Largest / Average step : 1.130149 Largest / Smallest step : 1.168158 Median interval of one step : 232.52000 cents, amount: 4 Most common interval of one step : 232.52000 cents, amount: 4 Least squares average step : 241.05091 cents, oct.: 1205.25455 cents Scale is strictly proper Scale has Myhill's property chromas: 39.10000 cents and 193.42000 cents, ratio: 4.946803 generators: 1 of 232.52000 cents and 4 of 969.18000 cents ET pair of linear temperament : 26&31 Scale is maximally even for L / S <= 2 Scale is distributional even Scale is a mode of a 584-tone equal temperament with octave 1201.700 cents degrees: 113 226 358 471 584 generators: 113 and 471 Number of contiguous 1-step segments: 0 Step pattern alph. order: AABAA Step pattern size order : SSLSS Scale is a Constant Structure, by a margin of 193.42000 cents Scale diversity : 1.148892 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.869851 Rothenberg efficiency : 0.800000 redundancy: 0.200000 Efficiency x scale size : 4.000000 Number of different interval sizes : 8 = 2.00000 / class Number of one step interval sizes : 2 Highest interval variety : 2 Mean interval variety : 2.00000 = 2 Median interval variety : 2 Lowest interval variety : 2 Smallest interval difference : 39.10000 cents Most common intervals : 232.52000 cents & inv., amount: 4 Scale is a chain of 2 triads 0.0 465.040 969.180 cents Number of recognisable fifths : 2, average 697.5600 cents Number of recognisable fourths : 2, average 504.1400 cents Best fifths form a closed circle Best minor thirds form a closed circle Formal octave complements present : 5 = 100.0000% 2/1 octave complements present : 0 = 0.0000% Limited transpositions with margin 39.1000 cents: 1 2 3 4 Limited inverse transpositions with margin 39.1000 cents: 1 2 3 4 Inversional symmetry on degrees : 0 Inversional symmetry on intervals : 2-3 -- Rational properties --
FIT/MODE
5: 1 1 1 1 1 SP B ME I SD: 11.0592 c. M: 15.6400 c. 16: 3 3 4 3 3 SP M ME I SD: 10.1841 c. M: 14.4025 c. Gorgo-5 21: 4 4 5 4 4 SP M ME I SD: 5.1262 c. M: 7.2495 c. Quasi-equal Pentatonic, Gorgo-5 26: 5 5 6 5 5 SP M ME I SD: 2.0136 c. M: 2.8477 c. Quasi-equal Pentatonic, Mothra-5 31: 6 6 7 6 6 SP M ME I SD: 0.0949 c. M: 0.1342 c. Quasi-equal Pentatonic, Mothra-5 305: 59 59 69 59 59 SP M DE I SD: 0.0849 c. M: 0.1200 c. 336: 65 65 76 65 65 SP M DE I SD: 0.0683 c. M: 0.0965 c. 367: 71 71 83 71 71 SP M DE I SD: 0.0545 c. M: 0.0771 c. 398: 77 77 90 77 77 SP M DE I SD: 0.0429 c. M: 0.0606 c. 429: 83 83 97 83 83 SP M DE I SD: 0.0329 c. M: 0.0465 c. 460: 89 89 104 89 89 SP M DE I SD: 0.0243 c. M: 0.0343 c. 491: 95 95 111 95 95 SP M DE I SD: 0.0168 c. M: 0.0237 c. 522: 101 101 118 101 101 SP M DE I SD: 0.0101 c. M: 0.0143 c. 553: 107 107 125 107 107 SP M DE I SD: 0.0042 c. M: 0.0060 c. 584: 113 113 132 113 113 SP M DE I SD: 0.0010 c. M: 0.0014 c. 1721: 333 333 389 333 333 SP M DE I SD: 0.0007 c. M: 0.0010 c. 2305: 446 446 521 446 446 SP M DE I SD: 0.0002 c. M: 0.0003 c.
FIT/HARMONIC
1 x x x x 2 S SD: 1.7000 cents 2 x x 3 x 4 S SD: 17.3733 cents 3 x 4 x 5:6 S SD: 30.3441 cents 4 x 5:6:7:8 S SD: 21.5135 cents 6:7:8:9:11:12 SD: 19.9057 cents 7:8:9:11:12:14 SD: 13.1184 cents 12:14:16:18:21:24 S SD: 11.7928 cents 13:15:17:20:23:26 SD: 5.1496 cents 23:26:30:35:40:46 SD: 5.1347 cents 27:31:35:41:47:54 SD: 4.7661 cents 28:32:37:43:49:56 SD: 3.7239 cents 35:40:46:54:61:70 SD: 3.5963 cents 36:41:47:55:63:72 SD: 1.7639 cents 49:56:64:75:86:98 SD: 1.1658 cents 68:78:89:104:119:136 SD: 1.0964 cents 91:104:119:139:159:182 SD: 1.0062 cents 104:119:136:159:182:208 SD: 0.5259 cents 181:207:237:277:317:362 SD: 0.5144 cents 188:215:246:288:329:376 SD: 0.5026 cents 217:248:284:332:380:434 SD: 0.4970 cents 224:256:293:343:392:448 SD: 0.4831 cents 237:271:310:363:415:474 SD: 0.4757 cents 272:311:356:416:476:545 SD: 0.4282 cents 279:319:365:427:488:559 SD: 0.3924 cents 285:326:373:436:499:571 SD: 0.3536 cents 292:334:382:447:511:585 SD: 0.2829 cents 328:375:429:502:574:657 SD: 0.2516 cents 341:390:446:522:597:683 SD: 0.2160 cents 396:453:518:606:693:793 SD: 0.1359 cents 445:509:582:681:779:891 SD: 0.1023 cents