Scala analysis: xen15-mclaren-integrated
Integrated non-self-similar scale #1
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 13.442 cents 13.442000 2: 48.466 cents 48.466000 3: 160.744 cents 160.744000 4: 425.290 cents 425.290000 5: 950.977 cents 950.977500
SHOW/INTERVAL
0: 525.6875 cents 525.6875 1: 13.4420 cents 13.4420 2: 35.0240 cents 35.0240 3: 112.2780 cents 112.2780 4: 264.5460 cents 264.5460 5: 525.6875 cents 525.6875
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 13.44200 cents 1: 1 35.02400 cents 1: 1 112.27800 cents 1: 1 264.54600 cents 1: 1 525.68750 cents 2: 1 48.46600 cents 2: 1 147.30200 cents 2: 1 376.82400 cents 2: 1 539.12950 cents 2: 1 790.23350 cents 3: 1 160.74400 cents 3: 1 411.84800 cents 3: 1 574.15350 cents 3: 1 803.67550 cents 3: 1 902.51150 cents 4: 1 425.29000 cents 4: 1 686.43150 cents 4: 1 838.69950 cents 4: 1 915.95350 cents 4: 1 937.53550 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 : 13.4 48.5 160.7 425.3 951.0 13.4 : 35.0 147.3 411.8 937.5 951.0 48.5 : 112.3 376.8 902.5 916.0 951.0 160.7: 264.5 790.2 803.7 838.7 951.0 425.3: 525.7 539.1 574.2 686.4 951.0 951.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 13.4420 .. 525.6875 cents 512.24550 cents 13.44200 cents 2: 48.4660 .. 790.2335 cents 741.76750 cents -477.22150 cents 3: 160.7440 .. 902.5115 cents 741.76750 cents -629.48950 cents 4: 425.2900 .. 937.5355 cents 512.24550 cents -477.22150 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 13.44200 cents, class 1 Average step (divided formal octave): 190.1955 cents Largest one step interval : 525.68750 cents Average / Smallest step : 14.149345 Largest / Average step : 2.763932 Largest / Smallest step : 39.107834 Median interval of one step : 112.27800 cents, amount: 1 Least squares average step : 128.15734 cents, oct.: 640.78668 cents Scale is not proper Step pattern alph. order: ABCDE Step pattern size order : ABCDE Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 13.44200 cents Scale diversity : 1.332539 Lumma stability : 0.028270 Lumma impropriety factor : 0.898071 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 : 13.44200 cents Number of recognisable fifths : 1, average 686.4315 cents Number of appreciable fifths : 0 Number of recognisable fourths : 0 Steps are strictly increasing Formal octave complements present : 1 = 20.0000% 2/1 octave complements present : 0 = 0.0000% -- Rational properties --
FIT/MODE
5: 0 0 1 1 3 N SD: 32.9027 c. M: 48.4660 c. 6: 0 0 1 2 3 N SD: 31.7950 c. M:-50.1988 c. 7: 0 0 1 2 4 N SD: 26.3190 c. M: 48.4660 c. 11: 0 1 1 3 6 N SD: 19.0797 c. M:-37.9865 c. 12: 0 1 1 3 7 N SD: 19.8854 c. M:-30.7821 c. 13: 0 1 1 4 7 N SD: 15.3895 c. M:-24.6861 c. 15: 0 1 2 4 8 N SD: 17.9627 c. M:-29.4515 c. 16: 0 1 2 4 9 N SD: 11.7887 c. M:-17.5643 c. 17: 0 1 2 5 9 N SD: 12.4958 c. M:-22.2288 c. 18: 0 1 2 5 10 N SD: 6.5075 c. M: 13.4420 c. 36: 1 1 4 10 20 N SD: 6.3147 c. M:-12.9740 c. 38: 1 1 4 11 21 N SD: 7.0549 c. M:-11.5837 c. 40: 1 1 5 11 22 N SD: 5.4194 c. M:-10.3324 c. 41: 1 1 5 11 23 N SD: 5.7042 c. M:-9.7526 c. 42: 1 1 5 12 23 N SD: 4.9793 c. M:-9.2003 c. 47: 1 1 6 13 26 N SD: 4.7227 c. M: 7.9989 c. 52: 1 2 6 14 29 N SD: 4.4943 c. M:-6.3981 c. 53: 1 2 6 15 29 N SD: 3.9522 c. M:-5.3629 c. 54: 1 2 6 15 30 N SD: 3.1122 c. M:-4.3661 c. 58: 1 2 7 16 32 N SD: 2.0309 c. M:-3.2176 c. 60: 1 2 7 17 33 N SD: 1.9345 c. M:-2.6499 c. 76: 1 3 9 21 42 N SD: 1.1914 c. M:-1.9232 c. 134: 2 5 16 37 74 N SD: 1.3017 c. M:-2.4835 c. 136: 2 5 16 38 75 N SD: 0.6480 c. M:-1.2514 c. 154: 2 6 18 43 85 N SD: 0.7400 c. M: 1.0916 c. 195: 3 7 23 54 108 N SD: 0.7149 c. M:-1.1884 c. 201: 3 7 24 56 111 N SD: 0.6605 c. M: 1.1537 c. 212: 3 8 25 59 117 N SD: 0.6408 c. M:-0.8772 c. 213: 3 8 25 59 118 N SD: 0.5883 c. M: 1.1451 c. 219: 3 8 26 61 121 N SD: 0.3838 c. M: 0.7000 c. 271: 4 10 32 75 150 N SD: 0.5860 c. M: 0.6838 c. 273: 4 10 32 76 151 N SD: 0.3704 c. M: 0.5060 c. 295: 4 11 35 82 163 N SD: 0.3342 c. M: 0.5474 c. 349: 5 13 41 97 193 N SD: 0.2886 c. M:-0.5816 c. 414: 6 15 49 115 229 N SD: 0.2380 c. M:-0.3403 c. 432: 6 16 51 120 239 N SD: 0.2213 c. M: 0.4320 c. 490: 7 18 58 136 271 N SD: 0.2036 c. M:-0.3399 c. 492: 7 18 58 137 272 N SD: 0.1617 c. M: 0.3149 c. 568: 8 21 67 158 314 N SD: 0.0469 c. M:-0.0874 c. 1355: 19 50 160 377 749 N SD: 0.0530 c. M: 0.1073 c. 1413: 20 52 167 393 781 N SD: 0.0557 c. M:-0.1078 c. 1550: 22 57 183 431 857 N SD: 0.0556 c. M: 0.1110 c. 1628: 23 60 192 453 900 N SD: 0.0509 c. M: 0.1059 c. 1686: 24 62 199 469 932 N SD: 0.0466 c. M:-0.0950 c. 1769: 25 65 209 492 978 N SD: 0.0476 c. M: 0.0839 c. 1845: 26 68 218 513 1020 N SD: 0.0451 c. M:-0.0717 c. 1905: 27 70 225 530 1053 N SD: 0.0285 c. M: 0.0435 c. 2337: 33 86 276 650 1292 N SD: 0.0323 c. M: 0.0562 c.
FIT/HARMONIC
1 x x x x 2 S SD: 249.0225 cents 2 x x x x 3 S SD: 249.0225 cents 3 x x x 4:5 S SD: 49.3238 cents 4 x x x 5:7 SD: 21.4343 cents 5 x x x 6:9 S SD: 64.1500 cents 6 x x 7:8:10 S SD: 48.2980 cents 7 x x 8:9:12 S SD: 24.4379 cents 8 x x 9:10:14 SD: 20.2787 cents 9 x x 10:12:16 S SD: 29.4346 cents 10 x x 11:13:17 SD: 14.5310 cents 11 x x 12:14:19 SD: 4.5409 cents 12 x x 13:15:21 SD: 16.0876 cents 13 x x 14:17:23 SD: 20.9137 cents 14 x x 15:18:24 S SD: 15.3488 cents 15 x x 16:19:26 SD: 17.1961 cents 16 x x 18:20:28 SD: 20.2787 cents 17 x 18:19:22:29 SD: 17.1389 cents 18 x 19:20:23:31 SD: 12.7584 cents 19 x 20:21:24:33 SD: 11.8355 cents 20 x 21:22:26:35 SD: 12.4233 cents 21 x 22:23:27:36 SD: 9.5316 cents 22 x 23:24:28:38 SD: 7.8950 cents 23 x 24:25:29:40 SD: 9.7778 cents 24 x 25:26:31:42 SD: 10.0616 cents 25 x 26:27:32:43 SD: 8.9608 cents 26 x 27:29:33:45 SD: 8.8206 cents 27 x 28:30:35:47 SD: 9.1158 cents 28 x 29:31:36:48 SD: 7.0914 cents 29 x 30:32:37:50 SD: 4.1344 cents 30 x 31:33:38:52 SD: 4.6513 cents 31 x 32:34:40:54 SD: 4.9724 cents 32 x 33:35:41:55 SD: 3.9279 cents 33 x 34:36:42:57 SD: 3.4994 cents 34 x 35:37:43:59 SD: 5.9700 cents 35 x 36:38:45:61 SD: 5.8600 cents 36 x 37:40:46:62 SD: 5.9588 cents 37 x 38:41:47:64 SD: 5.1394 cents 38 x 39:42:49:66 SD: 5.0771 cents 39 x 40:43:50:68 SD: 3.9206 cents 40 x 41:44:51:69 SD: 2.7696 cents 41 x 42:45:52:71 SD: 3.8482 cents 42 x 43:46:54:73 SD: 3.5585 cents 43 x 44:47:55:74 SD: 3.9191 cents 44 x 45:48:56:76 SD: 4.1607 cents 45 x 46:49:58:78 SD: 5.5069 cents 46 x 47:50:59:80 SD: 5.4553 cents 47 x 48:52:60:81 SD: 5.1824 cents 48 x 49:53:61:83 SD: 4.9716 cents 49 x 50:54:63:85 SD: 4.6143 cents 50 x 51:55:64:87 SD: 4.2315 cents 51 x 52:56:65:88 SD: 4.2847 cents 52 x 53:57:66:90 SD: 5.0136 cents 53 x 55:58:68:92 SD: 4.4681 cents 54 x 56:59:69:94 SD: 4.6188 cents 55 x 57:60:70:95 SD: 4.7720 cents 58:59:60:64:74:100 SD: 4.6234 cents 59:60:61:65:75:102 SD: 4.4120 cents 60:61:62:66:77:104 SD: 3.8069 cents 61:62:63:67:78:106 SD: 3.4965 cents 64:65:66:70:82:111 SD: 3.1855 cents 68:69:70:75:87:118 SD: 3.0594 cents 71:72:73:78:91:123 SD: 2.3624 cents 72:73:74:79:92:125 SD: 2.2566 cents 82:83:84:90:105:142 SD: 2.0999 cents 93:94:96:102:119:161 SD: 1.6930 cents 100:101:103:110:128:173 SD: 1.3906 cents 101:102:104:111:129:175 SD: 1.0661 cents 104:105:107:114:133:180 SD: 0.7879 cents 143:144:147:157:183:248 SD: 0.6665 cents 216:218:222:237:276:374 SD: 0.5859 cents 238:240:245:261:304:412 SD: 0.5820 cents 244:246:251:268:312:423 SD: 0.4922 cents 245:247:252:269:313:424 SD: 0.4550 cents 247:249:254:271:316:428 SD: 0.3050 cents 359:362:369:394:459:622 SD: 0.2930 cents 380:383:391:417:486:658 SD: 0.2511 cents 381:384:392:418:487:660 SD: 0.1921 cents 391:394:402:429:500:677 SD: 0.1779 cents 492:496:506:540:629:852 SD: 0.1595 cents