Scala analysis: xen18-secor-neutral-third-mos-1-tempered
MOS generated by a neutral third, tempered
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 144.856 cents 144.856000 2: 353.610 cents 353.610000 3: 492.780 cents 492.780000 4: 707.220 cents 707.220000 5: 849.233 cents 849.233000 6: 1057.987 cents 1057.987000 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 142.0130 cents 142.0130 1: 144.8560 cents 144.8560 2: 208.7540 cents 208.7540 3: 139.1700 cents 139.1700 4: 214.4400 cents 214.4400 5: 142.0130 cents 142.0130 6: 208.7540 cents 208.7540 7: 142.0130 cents 142.0130
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 139.17000 cents 1: 2 142.01300 cents 1: 1 144.85600 cents 1: 2 208.75400 cents 1: 1 214.44000 cents 2: 1 286.86900 cents 2: 1 347.92400 cents 2: 2 350.76700 cents 2: 2 353.61000 cents 2: 1 356.45300 cents 3: 2 492.78000 cents 3: 3 495.62300 cents 3: 1 562.36400 cents 3: 1 565.20700 cents 4: 1 634.79300 cents 4: 1 637.63600 cents 4: 3 704.37700 cents 4: 2 707.22000 cents 5: 1 843.54700 cents 5: 2 846.39000 cents 5: 2 849.23300 cents 5: 1 852.07600 cents 5: 1 913.13100 cents 6: 1 985.56000 cents 6: 2 991.24600 cents 6: 1 1055.14400 cents 6: 2 1057.98700 cents 6: 1 1060.83000 cents Highest number of different intervals for one interval class: 5 Average number of different intervals per interval class: 4.66667 = 14/3
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 0.0 : 144.9 353.6 492.8 707.2 849.2 1058.0 1200.0 144.9 : 208.8 347.9 562.4 704.4 913.1 1055.1 1200.0 353.6 : 139.2 353.6 495.6 704.4 846.4 991.2 1200.0 492.8 : 214.4 356.5 565.2 707.2 852.1 1060.8 1200.0 707.2 : 142.0 350.8 492.8 637.6 846.4 985.6 1200.0 849.2 : 208.8 350.8 495.6 704.4 843.5 1058.0 1200.0 1058.0: 142.0 286.9 495.6 634.8 849.2 991.2 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 139.1700 .. 214.4400 cents 75.27000 cents 139.17000 cents 2: 286.8690 .. 356.4530 cents 69.58400 cents 72.42900 cents 3: 492.7800 .. 565.2070 cents 72.42700 cents 136.32700 cents 4: 634.7930 .. 707.2200 cents 72.42700 cents 69.58600 cents 5: 843.5470 .. 913.1310 cents 69.58400 cents 136.32700 cents 6: 985.5600 .. 1060.8300 cents 75.27000 cents 72.42900 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 139.17000 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 214.44000 cents Average / Smallest step : 1.231793 Largest / Average step : 1.250900 Largest / Smallest step : 1.540849 Median interval of one step : 144.85600 cents, amount: 1 Least squares average step : 172.52416 cents, oct.: 1207.66915 cents Scale is strictly proper Scale is a mode of a 845-tone equal temperament with octave 1200.000 cents degrees: 102 249 347 498 598 745 845 Least number of segments generator : 423 of 600.710 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 696 of 988.402 cents and inv. generated superset size: 31 = 24 more = 442.857% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEBE Step pattern size order : CDAEBDB Scale is a Constant Structure, by a margin of 69.58600 cents Scale diversity : 1.294639 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.637865 Rothenberg efficiency : 0.382313 redundancy: 0.617687 Efficiency x scale size : 2.676190 Number of different interval sizes : 28 = 4.66667 / class Number of one step interval sizes : 5 Highest interval variety : 5 Mean interval variety : 4.66667 = 14/3 Median interval variety : 4 Lowest interval variety : 4 Smallest interval difference : 2.84300 cents Most common intervals : 495.62300 cents & inv., amount: 3 Most common triad is 0.0 495.623 704.377 cents, amount: 2 Number of recognisable fifths : 5, average 705.5142 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 = 42.8571% -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 19.5469 c. M: 29.4156 c. Lebeng 10: 1 2 1 2 1 2 1 P M ME I SD: 14.9051 c. M: 24.8560 c. 17: 2 3 2 3 2 3 2 SP M ME I SD: 1.8123 c. M: 3.6795 c. Neutral Dorian, Maqamic-7 75: 9 13 9 13 9 13 9 SP M DE I SD: 2.0539 c. M: 3.2200 c. 92: 11 16 11 16 11 16 11 SP M DE I SD: 1.8741 c. M: 2.8722 c. 109: 13 19 13 19 13 19 13 SP M DE I SD: 1.7795 c. M: 2.6328 c. 126: 15 22 15 22 15 22 15 SP M DE I SD: 1.7282 c. M: 2.4581 c. 143: 17 25 17 25 17 25 17 SP M DE I SD: 1.7002 c. M: 2.3249 c. 160: 19 28 19 28 19 28 19 SP M DE I SD: 1.6852 c. M: 2.3560 c. 163: 20 28 19 29 19 29 19 SP SD: 1.5829 c. M: 2.6072 c. 175: 21 31 20 31 21 30 21 SP SD: 1.5262 c. M:-2.9614 c. 180: 22 31 21 32 21 32 21 SP SD: 1.4445 c. M: 2.5663 c. 192: 23 34 22 34 23 33 23 SP SD: 1.3980 c. M:-2.6400 c. 197: 24 34 23 35 23 35 23 SP SD: 1.3481 c. M: 2.5325 c. 204: 25 35 24 36 24 36 24 SP SD: 1.4295 c. M:-2.2028 c. 205: 25 35 24 37 24 36 24 SP SD: 1.3498 c. M: 2.3905 c. 209: 25 37 24 37 25 36 25 SP SD: 1.3073 c. M:-2.3709 c. 210: 25 37 24 38 25 36 25 SP SD: 1.3958 c. M:-2.1956 c. 212: 26 36 25 38 25 37 25 SP SD: 1.3608 c. M: 2.6666 c. 214: 26 37 25 38 25 38 25 SP SD: 1.2828 c. M: 2.5040 c. 217: 26 38 25 39 26 37 26 SP SD: 1.2416 c. M:-2.3799 c. 221: 27 38 26 39 26 39 26 SP SD: 1.3372 c. M: 2.1742 c. 222: 27 38 26 40 26 39 26 SP SD: 1.2175 c. M: 2.2586 c. 226: 27 40 26 40 27 39 27 SP SD: 1.2449 c. M:-2.1422 c. 227: 27 40 26 41 27 39 27 SP SD: 1.2816 c. M: 2.1247 c. 229: 28 39 27 41 27 40 27 SP SD: 1.2131 c. M: 2.5183 c. 234: 28 41 27 42 28 40 28 SP SD: 1.1206 c. M:-2.0491 c. 237: 29 41 27 43 28 41 28 SP SD: 1.3089 c. M:-1.9794 c. 238: 29 41 28 42 28 42 28 SP SD: 1.2711 c. M: 2.1742 c. 239: 29 41 28 43 28 42 28 SP SD: 1.1184 c. M: 2.1456 c. 243: 29 43 28 43 29 42 29 SP SD: 1.2037 c. M:-1.9456 c. 244: 29 43 28 44 29 42 29 SP SD: 1.1966 c. M: 2.2330 c. 246: 30 42 29 44 29 43 29 SP SD: 1.0985 c. M: 2.3905 c. 251: 30 44 29 45 30 43 30 SP SD: 1.0299 c. M:-1.7630 c. 254: 31 44 29 46 30 44 30 SP SD: 1.1125 c. M:-1.6007 c. 256: 31 44 30 46 30 45 30 SP SD: 1.0462 c. M: 2.0475 c. 263: 32 45 31 47 31 46 31 SP SD: 1.0115 c. M: 2.2792 c. 268: 32 47 31 48 32 46 32 SP SD: 0.9643 c. M: 1.5724 c. 271: 33 47 31 49 32 47 32 SP SD: 0.9433 c. M:-1.2695 c. 278: 34 48 32 50 33 48 33 SP SD: 0.9392 c. M:-1.9066 c. 280: 34 49 32 50 33 49 33 SP SD: 0.9224 c. M:-2.1043 c. 285: 34 50 33 51 34 49 34 SP SD: 0.9194 c. M: 1.6981 c. 288: 35 50 33 52 34 50 34 SP SD: 0.7975 c. M: 1.1133 c. 295: 36 51 34 53 35 51 35 SP SD: 0.7806 c. M:-1.5847 c. 305: 37 53 35 55 36 53 36 SP SD: 0.6724 c. M: 0.9767 c. 312: 38 54 36 56 37 54 37 SP SD: 0.6394 c. M:-1.2978 c. 322: 39 56 37 58 38 56 38 SP SD: 0.5664 c. M: 0.8545 c. 329: 40 57 38 59 39 57 39 SP SD: 0.5127 c. M:-1.0407 c. 339: 41 59 39 61 40 59 40 SP SD: 0.4790 c. M: 0.7446 c. 346: 42 60 40 62 41 60 41 SP SD: 0.3984 c. M:-0.8087 c. 356: 43 62 41 64 42 62 42 SP SD: 0.4106 c. M: 0.6452 c. 363: 44 63 42 65 43 63 43 SP SD: 0.2949 c. M:-0.5985 c. 373: 45 65 43 67 44 65 44 SP SD: 0.3623 c. M: 0.5548 c. 380: 46 66 44 68 45 66 45 SP SD: 0.2006 c. M:-0.4072 c. 397: 48 69 46 71 47 69 47 SP SD: 0.1144 c. M:-0.2322 c. 414: 50 72 48 74 49 72 49 SP SD: 0.0353 c. M:-0.0715 c. 845: 102 147 98 151 100 147 100 SP SD: 0.0019 c. M: 0.0039 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 0.0000 cents 2 x x x 3 x x 4 S SD: 2.6325 cents 3 x x 4 x 5 x 6 S SD: 11.8394 cents 4 x 5 x 6 x 7:8 S SD: 23.7789 cents 5 x 6:7 x 8:9:10 S SD: 22.2607 cents 6 x 7:8:9:10:11:12 S SD: 15.7121 cents 7:8 x 9 x 11:13:14 SD: 24.8371 cents 8:9:10:11:12:13:15:16 SD: 13.5557 cents 9:10:11:12:14:15:17:18 SD: 12.6915 cents 10:11:12:13:15:16:18:20 SD: 11.3007 cents 12:13:15:16:18:20:22:24 SD: 7.1037 cents 18:20:22:24:27:29:33:36 SD: 6.5985 cents 21:23:26:28:32:34:39:42 SD: 5.2424 cents 22:24:27:29:33:36:41:44 SD: 3.7102 cents 30:33:37:40:45:49:55:60 SD: 3.5725 cents 34:37:42:45:51:56:63:68 SD: 3.3377 cents 36:39:44:48:54:59:66:72 SD: 2.2320 cents 49:53:60:65:74:80:90:98 SD: 1.8868 cents 57:62:70:76:86:93:105:114 SD: 1.0960 cents 79:86:97:105:119:129:146:158 SD: 0.8982 cents 101:110:124:134:152:165:186:202 SD: 0.6887 cents 115:125:141:153:173:188:212:230 SD: 0.3727 cents 216:235:265:287:325:353:398:432 SD: 0.2553 cents 319:347:391:424:480:521:588:638 SD: 0.2409 cents 331:360:406:440:498:541:610:662 SD: 0.2119 cents 343:373:421:456:516:560:632:686 SD: 0.1907 cents 401:436:492:533:603:655:739:802 SD: 0.1653 cents 450:489:552:598:677:735:829:900 SD: 0.1634 cents 458:498:562:609:689:748:844:916 SD: 0.1327 cents 583:634:715:775:877:952:1074:1166 SD: 0.0949 cents