Scala analysis: met24-secorian_9-like_Bb
Emulation of 9-EDO
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 126.563 cents 126.562500 2: 264.844 cents 264.843750 3: 391.406 cents 391.406250 4: 554.297 cents 554.296870 5: 704.297 cents 704.296870 6: 829.687 cents 829.687500 7: 969.141 cents 969.140620 8: 1094.531 cents 1094.531250 9: 2/1 1200.000000 octave
SHOW/INTERVAL
0: 105.4687 cents 105.4687 1: 126.5625 cents 126.5625 2: 138.2813 cents 138.2813 3: 126.5625 cents 126.5625 4: 162.8906 cents 162.8906 5: 150.0000 cents 150.0000 6: 125.3906 cents 125.3906 7: 139.4531 cents 139.4531 8: 125.3906 cents 125.3906 9: 105.4687 cents 105.4687
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 105.46875 cents 1: 2 125.39063 cents 1: 2 126.56250 cents 1: 1 138.28125 cents 1: 1 139.45312 cents 1: 1 150.00000 cents 1: 1 162.89062 cents 2: 1 230.85938 cents 2: 1 232.03125 cents 2: 4 264.84375 cents 2: 1 275.39063 cents 2: 1 289.45312 cents 2: 1 312.89062 cents 3: 1 357.42188 cents 3: 2 370.31250 cents 3: 1 390.23438 cents 3: 1 391.40625 cents 3: 1 414.84375 cents 3: 1 427.73437 cents 3: 1 438.28125 cents 3: 1 439.45312 cents 4: 2 495.70313 cents 4: 2 496.87500 cents 4: 1 540.23438 cents 4: 1 554.29687 cents 4: 1 564.84375 cents 4: 2 577.73437 cents 5: 2 622.26563 cents 5: 1 635.15625 cents 5: 1 645.70313 cents 5: 1 659.76562 cents 5: 2 703.12500 cents 5: 2 704.29687 cents 6: 1 760.54688 cents 6: 1 761.71875 cents 6: 1 772.26563 cents 6: 1 785.15625 cents 6: 1 808.59375 cents 6: 1 809.76562 cents 6: 2 829.68750 cents 6: 1 842.57812 cents 7: 1 887.10938 cents 7: 1 910.54688 cents 7: 1 924.60937 cents 7: 4 935.15625 cents 7: 1 967.96875 cents 7: 1 969.14062 cents 8: 1 1037.10938 cents 8: 1 1050.00000 cents 8: 1 1060.54688 cents 8: 1 1061.71875 cents 8: 2 1073.43750 cents 8: 2 1074.60937 cents 8: 1 1094.53125 cents Highest number of different intervals for one interval class: 8 Average number of different intervals per interval class: 6.75000 = 27/4
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 0.0 : 126.6 264.8 391.4 554.3 704.3 829.7 969.1 1094.5 1200.0 126.6 : 138.3 264.8 427.7 577.7 703.1 842.6 968.0 1073.4 1200.0 264.8 : 126.6 289.5 439.5 564.8 704.3 829.7 935.2 1061.7 1200.0 391.4 : 162.9 312.9 438.3 577.7 703.1 808.6 935.2 1073.4 1200.0 554.3 : 150.0 275.4 414.8 540.2 645.7 772.3 910.5 1037.1 1200.0 704.3 : 125.4 264.8 390.2 495.7 622.3 760.5 887.1 1050.0 1200.0 829.7 : 139.5 264.8 370.3 496.9 635.2 761.7 924.6 1074.6 1200.0 969.1 : 125.4 230.9 357.4 495.7 622.3 785.2 935.2 1060.5 1200.0 1094.5: 105.5 232.0 370.3 496.9 659.8 809.8 935.2 1074.6 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 105.4687 .. 162.8906 cents 57.42187 cents 105.46875 cents 2: 230.8594 .. 312.8906 cents 82.03124 cents 67.96876 cents 3: 357.4219 .. 439.4531 cents 82.03124 cents 44.53126 cents 4: 495.7031 .. 577.7344 cents 82.03124 cents 56.25001 cents 5: 622.2656 .. 704.2969 cents 82.03124 cents 44.53126 cents 6: 760.5469 .. 842.5781 cents 82.03124 cents 56.25001 cents 7: 887.1094 .. 969.1406 cents 82.03124 cents 44.53126 cents 8: 1037.1094 .. 1094.5313 cents 57.42187 cents 67.96876 cents
SHOW DATA
Number of notes : 9 -- Interval properties -- Smallest interval : 105.46875 cents, class 1 Average step (divided formal octave): 133.3333 cents Largest one step interval : 162.89062 cents Average / Smallest step : 1.264198 Largest / Average step : 1.221680 Largest / Smallest step : 1.544444 Median interval of one step : 126.56250 cents, amount: 2 Least squares average step : 136.44737 cents, oct.: 1228.02631 cents Scale is strictly proper Scale is a mode of a 1024-tone equal temperament with octave 2/1 degrees: 108 226 334 473 601 708 827 934 1024 Least number of segments generator : 513 of 601.172 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 831 of 973.828 cents and inv. generated superset size: 307 = 298 more = 3411.111% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABACDEFEG Step pattern size order : CDCGFBEBA Scale is a Constant Structure, by a margin of 44.53126 cents Scale diversity : 1.471631 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.494141 Rothenberg efficiency : 0.283951 redundancy: 0.716049 Efficiency x scale size : 2.555556 Number of different interval sizes : 54 = 6.75000 / class Number of one step interval sizes : 7 Highest interval variety : 8 Mean interval variety : 6.75000 = 27/4 Median interval variety : 6 Lowest interval variety : 6 Smallest interval difference : 1.17187 cents Most common intervals : 264.84375 cents & inv., amount: 4 Number of recognisable fifths : 4, average 703.7109 cents Formal octave complements present : 1 = 11.1111% Limited inverse transpositions with margin 82.0312 cents: 8 -- Rational properties -- Prime limit : 2 (not all pitches rational)
FIT/MODE
9: 1 1 1 1 1 1 1 1 1 SP B ME I SD: 23.3773 c. M: 37.6302 c. Pelog Nawanada: Sunda 10: 1 1 1 2 1 1 1 1 1 P M ME S SD: 22.0682 c. M:-45.7031 c. 15: 2 1 2 2 2 1 2 2 1 P D3 SD: 20.2808 c. M:-33.4375 c. 17: 2 2 2 2 2 2 2 2 1 SP M ME S SD: 19.8492 c. M:-34.8805 c. Jerome-9, Progression-9 18: 2 2 2 2 3 1 3 1 2 P T3 SD: 21.1232 c. M:-30.8594 c. 19: 2 2 2 3 2 2 2 2 2 SP M ME S SD: 13.2434 c. M: 21.7722 c. 22: 2 3 2 3 3 2 3 2 2 P D3 S SD: 9.8134 c. M: 17.4716 c. 30: 3 4 3 4 4 3 3 3 3 P SD: 10.6812 c. M:-15.7031 c. 31: 3 4 3 4 4 3 4 3 3 SP D3 S SD: 9.2594 c. M: 16.7843 c. 32: 3 4 3 5 4 3 4 3 3 P SD: 8.8991 c. M: 16.4063 c. 36: 4 4 4 5 4 4 4 4 3 SP T3 SD: 6.1807 c. M:-12.3698 c. 41: 4 5 4 6 5 4 5 4 4 SP SD: 7.2034 c. M: 11.6044 c. 45: 5 5 5 6 5 5 5 5 4 SP T3 SD: 6.4105 c. M: 10.9635 c. 46: 5 5 5 6 6 5 5 5 4 SP S SD: 3.5790 c. M: 6.4708 c. 58: 6 7 6 8 7 6 7 6 5 SP SD: 2.6745 c. M:-4.3238 c. 87: 9 10 9 12 11 9 10 9 8 SP SD: 3.1494 c. M: 5.1994 c. 94: 10 11 10 12 12 10 11 10 8 SP S SD: 2.9116 c. M: 5.3607 c. 95: 10 11 10 13 12 10 11 10 8 SP SD: 2.5732 c. M:-4.4161 c. 104: 11 12 11 14 13 11 12 11 9 SP SD: 0.7784 c. M:-1.6226 c. 230: 24 27 24 31 29 24 27 24 20 SP SD: 0.9360 c. M: 1.3451 c. 240: 25 28 25 33 30 25 28 25 21 SP SD: 0.8491 c. M: 1.5625 c. 249: 26 29 26 34 31 26 29 26 22 SP SD: 0.6930 c. M: 1.2613 c. 286: 30 33 30 39 36 30 33 30 25 SP SD: 0.6857 c. M: 1.1965 c. 295: 31 34 31 40 37 31 34 31 26 SP SD: 0.6505 c. M: 1.0765 c. 331: 35 38 35 45 41 35 38 35 29 SP SD: 0.5773 c. M: 1.1648 c. 344: 36 40 36 47 43 36 40 36 30 SP SD: 0.5915 c. M: 0.9811 c. 353: 37 41 37 48 44 37 41 37 31 SP SD: 0.4077 c. M: 0.7835 c. 453: 48 52 48 61 57 47 53 47 40 SP SD: 0.4728 c. M: 0.6545 c. 457: 48 53 48 62 57 48 53 48 40 SP SD: 0.3443 c. M: 0.5770 c. 567: 60 65 60 77 71 59 66 59 50 SP SD: 0.2775 c. M:-0.4650 c. 625: 66 72 66 85 78 65 73 65 55 SP SD: 0.3092 c. M:-0.5831 c. 671: 71 77 71 91 84 70 78 70 59 SP SD: 0.2145 c. M:-0.4122 c. 775: 82 89 82 105 97 81 90 81 68 SP SD: 0.2227 c. M:-0.4052 c. 794: 84 91 84 108 99 83 92 83 70 SP SD: 0.2711 c. M:-0.3896 c. 797: 84 92 84 108 100 83 93 83 70 SP SD: 0.2257 c. M:-0.4955 c. 816: 86 94 86 111 102 85 95 85 72 SP SD: 0.1984 c. M: 0.4136 c. 862: 91 99 91 117 108 90 100 90 76 SP SD: 0.2143 c. M: 0.3426 c. 910: 96 105 96 123 114 95 106 95 80 SP SD: 0.2073 c. M: 0.4507 c. 920: 97 106 97 125 115 96 107 96 81 SP SD: 0.0880 c. M: 0.1834 c. 1024: 108 118 108 139 128 107 119 107 90 SP SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x x x x x 2 S SD: 0.0000 cents 2 x x x x 3 x x x 4 S SD: 1.1709 cents 3 x x x 4 x 5 x x 6 S SD: 26.1475 cents 4 x x 5 x 6 x 7 x 8 S SD: 1.4035 cents 5 x 6 x 7 x 8:9 x 10 S SD: 15.4667 cents 6 x 7 x 8:9:10 x 11:12 S SD: 15.0951 cents 7 x 8:9:10 x 11:12:13:14 S SD: 15.0373 cents 8 x 9:10:11:12:13:14:15:16 S SD: 7.8163 cents 9:10 x 11:12:14:15:16:17:18 S SD: 15.6378 cents 10:11:12:13:14:15:16:18:19:20 S SD: 12.0115 cents 11:12:13:14:15:17:18:19:21:22 SD: 8.7930 cents 12:13:14:15:17:18:19:21:23:24 SD: 7.6394 cents 13:14:15:16:18:20:21:23:24:26 SD: 7.5044 cents 16:17:19:20:22:24:26:28:30:32 SD: 4.6232 cents 23:25:27:29:32:35:37:40:43:46 SD: 4.5603 cents 24:26:28:30:33:36:39:42:45:48 S SD: 2.0652 cents 50:54:58:63:69:75:81:88:94:100 SD: 1.9977 cents 52:56:61:65:72:78:84:91:98:104 SD: 1.7801 cents 55:59:64:69:76:83:89:96:103:110 SD: 1.7058 cents 64:69:75:80:88:96:103:112:120:128 SD: 1.6576 cents 66:71:77:83:91:99:107:116:124:132 SD: 1.3464 cents 67:72:78:84:92:101:108:117:126:134 SD: 1.1177 cents 79:85:92:99:109:119:128:138:149:158 SD: 1.0880 cents 80:86:93:100:110:120:129:140:151:160 SD: 1.0742 cents 90:97:105:113:124:135:145:158:169:180 SD: 1.0111 cents 91:98:106:114:125:137:147:159:171:182 SD: 0.8523 cents 103:111:120:129:142:155:166:180:194:206 SD: 0.7582 cents 119:128:139:149:164:179:192:208:224:238 SD: 0.6781 cents 133:143:155:167:183:200:215:233:250:266 SD: 0.5554 cents 145:156:169:182:200:218:234:254:273:290 SD: 0.4577 cents 169:182:197:212:233:254:273:296:318:338 SD: 0.3515 cents 225:242:262:282:310:338:363:394:423:450 SD: 0.3220 cents 236:254:275:296:325:354:381:413:444:472 SD: 0.2969 cents 249:268:290:312:343:374:402:436:469:498 SD: 0.2619 cents 265:285:309:332:365:398:428:464:499:530 SD: 0.2404 cents 315:339:367:395:434:473:509:551:593:630 SD: 0.2213 cents 381:410:444:478:525:572:615:667:717:762 SD: 0.2126 cents 382:411:445:479:526:574:617:669:719:764 SD: 0.1715 cents 472:508:550:592:650:709:762:826:888:944 SD: 0.1435 cents 540:581:629:677:744:811:872:945:1016:1080 SD: 0.1129 cents 556:598:648:697:766:835:898:973:1046:1112 SD: 0.1078 cents