Scala analysis: met24-quasi_11-EDO_Ebup
Emulation of 11-EDO
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 125.391 cents 125.390630 2: 207.422 cents 207.421880 3: 332.813 cents 332.812500 4: 414.844 cents 414.843750 5: 540.234 cents 540.234380 6: 645.703 cents 645.703130 7: 772.266 cents 772.265630 8: 853.125 cents 853.125000 9: 979.687 cents 979.687500 10: 1060.547 cents 1060.546870 11: 2/1 1200.000000 octave
SHOW/INTERVAL
0: 139.4531 cents 139.4531 1: 125.3906 cents 125.3906 2: 82.0312 cents 82.0312 3: 125.3906 cents 125.3906 4: 82.0313 cents 82.0313 5: 125.3906 cents 125.3906 6: 105.4687 cents 105.4687 7: 126.5625 cents 126.5625 8: 80.8594 cents 80.8594 9: 126.5625 cents 126.5625 10: 80.8594 cents 80.8594 11: 139.4531 cents 139.4531
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 2 80.85937 cents 1: 2 82.03125 cents 1: 1 105.46875 cents 1: 3 125.39063 cents 1: 2 126.56250 cents 1: 1 139.45313 cents 2: 7 207.42188 cents 2: 1 220.31250 cents 2: 1 230.85938 cents 2: 1 232.03125 cents 2: 1 264.84376 cents 3: 1 288.28124 cents 3: 1 289.45312 cents 3: 2 312.89063 cents 3: 2 332.81250 cents 3: 1 333.98437 cents 3: 1 345.70313 cents 3: 2 346.87500 cents 3: 1 357.42188 cents 4: 3 414.84375 cents 4: 2 427.73437 cents 4: 2 438.28125 cents 4: 2 439.45313 cents 4: 2 472.26563 cents 5: 3 520.31250 cents 5: 1 540.23438 cents 5: 2 553.12500 cents 5: 3 554.29687 cents 5: 2 564.84375 cents 6: 2 635.15625 cents 6: 3 645.70313 cents 6: 2 646.87500 cents 6: 1 659.76562 cents 6: 3 679.68750 cents 7: 2 727.73437 cents 7: 2 760.54687 cents 7: 2 761.71875 cents 7: 2 772.26563 cents 7: 3 785.15625 cents 8: 1 842.57812 cents 8: 2 853.12500 cents 8: 1 854.29687 cents 8: 1 866.01563 cents 8: 2 867.18750 cents 8: 2 887.10937 cents 8: 1 910.54688 cents 8: 1 911.71876 cents 9: 1 935.15624 cents 9: 1 967.96875 cents 9: 1 969.14062 cents 9: 1 979.68750 cents 9: 7 992.57812 cents 10: 1 1060.54687 cents 10: 2 1073.43750 cents 10: 3 1074.60937 cents 10: 1 1094.53125 cents 10: 2 1117.96875 cents 10: 2 1119.14063 cents Highest number of different intervals for one interval class: 8 Average number of different intervals per interval class: 5.80000 = 29/5
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 10 11 0.0 : 125.4 207.4 332.8 414.8 540.2 645.7 772.3 853.1 979.7 1060.5 1200.0 125.4 : 82.0 207.4 289.5 414.8 520.3 646.9 727.7 854.3 935.2 1074.6 1200.0 207.4 : 125.4 207.4 332.8 438.3 564.8 645.7 772.3 853.1 992.6 1118.0 1200.0 332.8 : 82.0 207.4 312.9 439.5 520.3 646.9 727.7 867.2 992.6 1074.6 1200.0 414.8 : 125.4 230.9 357.4 438.3 564.8 645.7 785.2 910.5 992.6 1118.0 1200.0 540.2 : 105.5 232.0 312.9 439.5 520.3 659.8 785.2 867.2 992.6 1074.6 1200.0 645.7 : 126.6 207.4 334.0 414.8 554.3 679.7 761.7 887.1 969.1 1094.5 1200.0 772.3 : 80.9 207.4 288.3 427.7 553.1 635.2 760.5 842.6 968.0 1073.4 1200.0 853.1 : 126.6 207.4 346.9 472.3 554.3 679.7 761.7 887.1 992.6 1119.1 1200.0 979.7 : 80.9 220.3 345.7 427.7 553.1 635.2 760.5 866.0 992.6 1073.4 1200.0 1060.5: 139.5 264.8 346.9 472.3 554.3 679.7 785.2 911.7 992.6 1119.1 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 80.8594 .. 139.4531 cents 58.59376 cents 80.85937 cents 2: 207.4219 .. 264.8438 cents 57.42188 cents 67.96875 cents 3: 288.2812 .. 357.4219 cents 69.14064 cents 23.43748 cents 4: 414.8438 .. 472.2656 cents 57.42188 cents 57.42187 cents 5: 520.3125 .. 564.8438 cents 44.53125 cents 48.04687 cents 6: 635.1562 .. 679.6875 cents 44.53125 cents 70.31250 cents 7: 727.7344 .. 785.1562 cents 57.42188 cents 48.04687 cents 8: 842.5781 .. 911.7188 cents 69.14064 cents 57.42187 cents 9: 935.1562 .. 992.5781 cents 57.42188 cents 23.43748 cents 10: 1060.5469 .. 1119.1406 cents 58.59376 cents 67.96875 cents
SHOW DATA
Number of notes : 11 -- Interval properties -- Smallest interval : 80.85937 cents, class 1 Average step (divided formal octave): 109.0909 cents Largest one step interval : 139.45313 cents Average / Smallest step : 1.349144 Largest / Average step : 1.278320 Largest / Smallest step : 1.724638 Median interval of one step : 125.39063 cents, amount: 3 Most common interval of one step : 125.39063 cents, amount: 3 Least squares average step : 107.95841 cents, oct.: 1187.54246 cents Scale is strictly proper Scale is a mode of a 1024-tone equal temperament with octave 2/1 degrees: 107 177 284 354 461 551 659 728 836 905 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: 262 = 251 more = 2381.818% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABABACDEDEF Step pattern size order : DBDBDCEAEAF Scale is a Constant Structure, by a margin of 23.43748 cents Scale diversity : 1.393364 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.521484 Rothenberg efficiency : 0.323416 redundancy: 0.676584 Efficiency x scale size : 3.557576 Number of different interval sizes : 58 = 5.80000 / class Number of one step interval sizes : 6 Highest interval variety : 8 Mean interval variety : 5.80000 = 29/5 Median interval variety : 5 Lowest interval variety : 5 Smallest interval difference : 1.17187 cents Most common intervals : 207.42188 cents & inv., amount: 7 Most common triad is 0.0 207.422 992.578 cents, amount: 3 Number of recognisable fifths : 0 Best minor thirds form a closed circle Formal octave complements present : 1 = 9.0909% -- Rational properties -- Prime limit : 2 (not all pitches rational)
FIT/MODE
11: 1 1 1 1 1 1 1 1 1 1 1 SP B ME I SD: 14.6654 c. M:-30.3622 c. 17: 2 1 2 1 2 1 2 1 2 1 2 P M ME I SD: 12.0090 c. M:-24.4715 c. 22: 2 2 2 2 2 2 2 2 2 1 3 P T3 SD: 13.5806 c. M: 24.1832 c. 23: 2 2 2 2 2 2 3 1 3 1 3 P D3 S SD: 14.8884 c. M: 21.0428 c. 26: 3 1 3 2 3 2 3 1 3 2 3 P T3 SD: 12.5559 c. M: 22.8065 c. 28: 3 2 3 2 3 2 3 2 3 2 3 SP M ME I SD: 8.5925 c. M:-16.9085 c. 29: 3 2 3 2 3 3 3 2 3 2 3 SP D3 I SD: 10.1761 c. M:-16.3658 c. 31: 3 2 4 2 3 3 3 2 3 2 4 P SD: 10.3665 c. M:-15.5746 c. 33: 3 3 3 2 4 3 3 2 4 2 4 SP T3 SD: 10.1529 c. M: 16.7614 c. 34: 4 2 3 3 3 3 4 2 4 2 4 P SD: 9.1923 c. M:-15.7858 c. 35: 4 2 4 2 4 3 4 2 4 2 4 P I SD: 8.8232 c. M:-16.3058 c. 37: 4 2 4 3 4 3 4 2 4 3 4 SP T3 SD: 8.0242 c. M: 12.8273 c. 41: 4 3 4 3 4 4 4 3 4 3 5 SP D3 SD: 8.4617 c. M: 13.8338 c. 42: 4 3 5 3 4 4 4 3 4 3 5 SP SD: 7.9894 c. M:-13.7277 c. 44: 5 3 4 3 5 4 4 3 5 3 5 P SD: 7.0890 c. M:-10.9730 c. 48: 5 3 5 4 5 4 5 3 5 3 6 P SD: 6.6312 c. M: 10.5469 c. 50: 5 4 5 3 6 4 5 4 5 3 6 SP SD: 6.5994 c. M:-11.7656 c. 51: 5 4 5 4 5 4 6 3 6 3 6 SP SD: 6.0721 c. M: 10.4090 c. 54: 6 3 6 4 5 5 6 3 6 4 6 SP SD: 5.7913 c. M: 8.6806 c. 58: 6 4 6 4 6 5 6 4 6 4 7 SP SD: 4.0559 c. M: 7.2737 c. 69: 7 5 7 5 7 6 7 5 7 5 8 SP SD: 3.2655 c. M: 7.0482 c. 75: 8 5 8 5 8 6 8 5 8 5 9 SP SD: 3.6191 c. M: 5.7031 c. 76: 8 5 8 5 8 7 8 5 8 5 9 SP SD: 2.1277 c. M: 4.3174 c. 87: 9 6 9 6 9 8 9 6 9 6 10 SP SD: 1.4987 c. M:-2.5727 c. 104: 11 7 11 7 11 9 11 7 11 7 12 SP SD: 1.1200 c. M:-2.0733 c. 162: 17 11 17 11 17 14 17 11 17 11 19 SP SD: 1.0837 c. M: 1.9097 c. 173: 18 12 18 12 18 15 18 12 18 12 20 SP SD: 1.0549 c. M: 2.3234 c. 180: 19 12 19 12 19 16 19 12 19 12 21 SP SD: 0.8155 c. M: 1.5104 c. 191: 20 13 20 13 20 17 20 13 20 13 22 SP SD: 0.7303 c. M:-1.4173 c. 249: 26 17 26 17 26 22 26 17 26 17 29 SP SD: 0.5952 c. M: 1.3742 c. 266: 28 18 28 18 28 23 28 18 28 18 31 SP SD: 0.6874 c. M:-1.1190 c. 295: 31 20 31 20 31 26 31 20 31 20 34 SP SD: 0.7507 c. M:-1.1480 c. 318: 33 22 33 22 33 28 34 21 34 21 37 SP SD: 0.7298 c. M:-1.4446 c. 336: 35 23 35 23 35 30 35 23 35 23 39 SP SD: 0.6460 c. M: 1.1161 c. 342: 36 23 36 23 36 30 36 23 36 23 40 SP SD: 0.5781 c. M:-0.9252 c. 353: 37 24 37 24 37 31 37 24 37 24 41 SP SD: 0.3287 c. M: 0.6507 c. 544: 57 37 57 37 57 48 57 37 57 37 63 SP SD: 0.3440 c. M:-0.6204 c. 567: 59 39 59 39 59 50 60 38 60 38 66 SP SD: 0.3160 c. M: 0.5518 c. 584: 61 40 61 40 61 51 62 39 62 39 68 SP SD: 0.2840 c. M: 0.4977 c. 671: 70 46 70 46 70 59 71 45 71 45 78 SP SD: 0.1729 c. M:-0.3423 c. 775: 81 53 81 53 81 68 82 52 82 52 90 SP SD: 0.1912 c. M:-0.4415 c. 833: 87 57 87 57 87 73 88 56 88 56 97 SP SD: 0.1675 c. M: 0.3250 c. 844: 88 58 88 58 88 74 89 57 89 57 98 SP SD: 0.1739 c. M:-0.3221 c. 920: 96 63 96 63 96 81 97 62 97 62 107 SP SD: 0.1266 c. M: 0.2344 c. 1024: 107 70 107 70 107 90 108 69 108 69 119 SP SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x x x x x x x 2 S SD: 0.0000 cents 2 x x x x x 3 x x x x 4 S SD: 28.1259 cents 3 x x x x 4 x x 5 x x 6 S SD: 17.4976 cents 4 x x x 5 x 6 x x 7 x 8 S SD: 16.0004 cents 5 x x 6 x 7 x x 8:9 x 10 S SD: 14.2475 cents 6 x 7 x x 8:9 x 10 x 11:12 S SD: 16.3121 cents 7 x 8 x 9 x 10:11 x 12:13:14 S SD: 9.2214 cents 8 x 9 x 10:11:12 x 13:14:15:16 S SD: 8.9779 cents 9 x 10:11 x 12:13:14:15:16:17:18 S SD: 8.3446 cents 10:11 x 12:13:14:15 x 16:18 x 20 S SD: 13.3219 cents 11:12 x 13:14:15:16:17:18:19:20:22 S SD: 6.8463 cents 12:13:14 x 15:16:17:19:20:21:22:24 SD: 9.9431 cents 13:14:15:16:17:18:19:20:21:23:24:26 SD: 7.4726 cents 14:15:16:17:18:19:20:22:23:25:26:28 SD: 4.8106 cents 22:24:25:27:28:30:32:34:36:39:41:44 SD: 4.1701 cents 25:27:28:30:32:34:36:39:41:44:46:50 SD: 2.8044 cents 33:35:37:40:42:45:48:52:54:58:61:66 SD: 2.7475 cents 37:40:42:45:47:51:54:58:61:65:68:74 SD: 2.6374 cents 38:41:43:46:48:52:55:59:62:67:70:76 SD: 1.7940 cents 52:56:59:63:66:71:76:81:85:92:96:104 SD: 1.7338 cents 55:59:62:67:70:75:80:86:90:97:101:110 SD: 1.2824 cents 66:71:74:80:84:90:96:103:108:116:122:132 SD: 1.0736 cents 71:76:80:86:90:97:103:111:116:125:131:142 SD: 0.8754 cents 93:100:105:113:118:127:135:145:152:164:172:186 SD: 0.7838 cents 104:112:117:126:132:142:151:162:170:183:192:208 SD: 0.7030 cents 117:126:132:142:149:160:170:183:192:206:216:234 SD: 0.6982 cents 118:127:133:143:150:161:171:184:193:208:218:236 SD: 0.5758 cents 133:143:150:161:169:182:193:208:218:234:245:266 SD: 0.5312 cents 148:159:167:179:188:202:215:231:242:261:273:296 SD: 0.5247 cents 155:167:175:188:197:212:225:242:254:273:286:310 SD: 0.5109 cents 173:186:195:210:220:236:251:270:283:305:319:346 SD: 0.4722 cents 174:187:196:211:221:238:253:272:285:306:321:348 SD: 0.4241 cents 188:202:212:228:239:257:273:294:308:331:347:376 SD: 0.2915 cents 226:243:255:274:287:309:328:353:370:398:417:452 SD: 0.2389 cents 292:314:329:354:371:399:424:456:478:514:539:584 SD: 0.1476 cents 440:473:496:533:559:601:639:687:720:775:812:880 SD: 0.1421 cents 480:516:541:582:610:656:697:750:786:845:886:960 SD: 0.1380 cents 518:557:584:628:658:708:752:809:848:912:956:1036 SD: 0.1301 cents 557:599:628:675:708:761:809:870:912:981:1028:1114 SD: 0.1002 cents