Scala analysis: mir9
Mir9
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 116.716 cents 116.715600 2: 233.431 cents 233.431200 3: 350.147 cents 350.146800 4: 499.706 cents 499.706400 5: 616.422 cents 616.422000 6: 733.138 cents 733.137600 7: 933.725 cents 933.724800 8: 1050.440 cents 1050.440300 9: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 149.5597 cents 149.5597 1: 116.7156 cents 116.7156 2: 116.7156 cents 116.7156 3: 116.7156 cents 116.7156 4: 149.5596 cents 149.5596 5: 116.7156 cents 116.7156 6: 116.7156 cents 116.7156 7: 200.5872 cents 200.5872 8: 116.7155 cents 116.7155 9: 149.5597 cents 149.5597
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 6 116.71560 cents 1: 2 149.55960 cents 1: 1 200.58720 cents 2: 3 233.43120 cents 2: 4 266.27520 cents 2: 2 317.30280 cents 3: 1 350.14680 cents 3: 5 382.99080 cents 3: 2 434.01840 cents 3: 1 466.86240 cents 4: 5 499.70640 cents 4: 1 550.73390 cents 4: 3 583.57800 cents 5: 3 616.42200 cents 5: 1 649.26610 cents 5: 5 700.29360 cents 6: 1 733.13760 cents 6: 2 765.98160 cents 6: 5 817.00920 cents 6: 1 849.85320 cents 7: 2 882.69720 cents 7: 4 933.72480 cents 7: 3 966.56880 cents 8: 1 999.41280 cents 8: 2 1050.44030 cents 8: 6 1083.28440 cents Highest number of different intervals for one interval class: 4 Average number of different intervals per interval class: 3.25000 = 13/4
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 0.0 : 116.7 233.4 350.1 499.7 616.4 733.1 933.7 1050.4 1200.0 116.7 : 116.7 233.4 383.0 499.7 616.4 817.0 933.7 1083.3 1200.0 233.4 : 116.7 266.3 383.0 499.7 700.3 817.0 966.6 1083.3 1200.0 350.1 : 149.6 266.3 383.0 583.6 700.3 849.9 966.6 1083.3 1200.0 499.7 : 116.7 233.4 434.0 550.7 700.3 817.0 933.7 1050.4 1200.0 616.4 : 116.7 317.3 434.0 583.6 700.3 817.0 933.7 1083.3 1200.0 733.1 : 200.6 317.3 466.9 583.6 700.3 817.0 966.6 1083.3 1200.0 933.7 : 116.7 266.3 383.0 499.7 616.4 766.0 882.7 999.4 1200.0 1050.4: 149.6 266.3 383.0 499.7 649.3 766.0 882.7 1083.3 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 116.7156 .. 200.5872 cents 83.87160 cents 116.71560 cents 2: 233.4312 .. 317.3028 cents 83.87160 cents 32.84400 cents 3: 350.1468 .. 466.8624 cents 116.71560 cents 32.84400 cents 4: 499.7064 .. 583.5780 cents 83.87160 cents 32.84400 cents 5: 616.4220 .. 700.2936 cents 83.87160 cents 32.84400 cents 6: 733.1376 .. 849.8532 cents 116.71560 cents 32.84400 cents 7: 882.6972 .. 966.5688 cents 83.87160 cents 32.84400 cents 8: 999.4128 .. 1083.2844 cents 83.87160 cents 32.84400 cents
SHOW DATA
Number of notes : 9 -- Interval properties -- Smallest interval : 116.71550 cents, class 1 Average step (divided formal octave): 133.3333 cents Largest one step interval : 200.58720 cents Average / Smallest step : 1.142379 Largest / Average step : 1.504404 Largest / Smallest step : 1.718600 Median interval of one step : 116.71560 cents, amount: 6 Most common interval of one step : 116.71560 cents, amount: 6 Least squares average step : 129.31009 cents, oct.: 1163.79081 cents Scale is strictly proper Scale is a mode of a 1717-tone equal temperament with octave 1200.000 cents degrees: 167 334 501 715 882 1049 1336 1503 1717 Least number of segments generator : 859 of 600.349 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 1550 of 1083.285 cents and inv. generated superset size: 16 = 7 more = 177.778% Number of contiguous 1-step segments: 0 Step pattern alph. order: AAABAACAB Step pattern size order : SSSMSSLSM Scale is a Constant Structure, by a margin of 32.84400 cents Scale diversity : 1.400171 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.386116 Rothenberg efficiency : 0.445767 redundancy: 0.554233 Efficiency x scale size : 4.011905 Number of different interval sizes : 26 = 3.25000 / class Number of one step interval sizes : 3 Highest interval variety : 4 Mean interval variety : 3.25000 = 13/4 Median interval variety : 3 Lowest interval variety : 3 Smallest interval difference : 32.84400 cents Most common intervals : 116.71560 cents & inv., amount: 6 Number of recognisable fifths : 5, average 700.2936 cents Formal octave complements present : 1 = 11.1111% -- Rational properties --
FIT/MODE
9: 1 1 1 1 1 1 1 1 1 SP B ME I SD: 36.9014 c. M:-66.8624 c. Pelog Nawanada: Sunda 10: 1 1 1 1 1 1 2 1 1 P M ME S SD: 16.8187 c. M:-29.5597 c. 17: 2 1 2 2 2 1 3 2 2 N T3 SD: 16.7816 c. M: 27.2552 c. 21: 2 2 2 3 2 2 3 2 3 SP D3 SD: 12.4429 c. M: 21.8689 c. 22: 2 2 2 3 2 2 4 2 3 P SD: 14.8287 c. M: 24.0467 c. 23: 2 2 3 3 2 2 4 2 3 P T3 SD: 13.5638 c. M: 24.7355 c. 24: 2 3 2 3 2 3 4 2 3 P T3 SD: 12.3520 c. M:-16.8624 c. 27: 3 2 3 3 3 2 5 3 3 N SD: 12.1579 c. M: 22.0265 c. 31: 3 3 3 4 3 3 5 3 4 SP SD: 3.0037 c. M: 5.2790 c. 41: 4 4 4 5 4 4 7 4 5 SP SD: 1.8311 c. M:-3.2182 c. 72: 7 7 7 9 7 7 12 7 9 SP SD: 0.2506 c. M: 0.4403 c. 185: 18 18 18 23 18 18 31 18 23 SP SD: 0.2108 c. M:-0.3705 c. 257: 25 25 25 32 25 25 43 25 32 SP SD: 0.0815 c. M:-0.1434 c. 329: 32 32 32 41 32 32 55 32 41 SP SD: 0.0089 c. M:-0.0156 c. 1059: 103 103 103 132 103 103 177 103 132 SP SD: 0.0088 c. M: 0.0154 c. 1388: 135 135 135 173 135 135 232 135 173 SP SD: 0.0046 c. M: 0.0080 c. 1717: 167 167 167 214 167 167 287 167 214 SP SD: 0.0020 c. M: 0.0035 c. 2046: 199 199 199 255 199 199 342 199 255 SP SD: 0.0003 c. M: 0.0005 c.
FIT/HARMONIC
1 x x x x x x x x 2 S SD: 0.0000 cents 2 x x x x x 3 x x 4 S SD: 15.5913 cents 3 x x x 4 x x 5 x 6 S SD: 16.4647 cents 4 x x 5 x x 6:7 x 8 S SD: 14.8166 cents 5 x x 6 x 7:8 x 9:10 S SD: 19.9071 cents 6 x 7 x 8 x 9:10:11:12 S SD: 11.2194 cents 7 x 8 x 9:10:11:12:13:14 S SD: 12.0124 cents 8 x 9:10:11 x 12:14:15:16 S SD: 13.1543 cents 9 x 10:11:12:13:14:15:17:18 SD: 11.8781 cents 10:11 x 12:13:14:15:17:18:20 SD: 11.8720 cents 11:12:13 x 15:16:17:19:20:22 SD: 10.8282 cents 12:13:14:15:16:17:18:21:22:24 S SD: 8.0833 cents 13:14:15:16:17:19:20:22:24:26 SD: 7.1341 cents 14:15:16:17:19:20:21:24:26:28 SD: 5.5275 cents 21:22:24:26:28:30:32:36:39:42 S SD: 5.1757 cents 23:25:26:28:31:33:35:39:42:46 SD: 5.1544 cents 25:27:29:31:33:36:38:43:46:50 SD: 5.0033 cents 26:28:30:32:35:37:40:45:48:52 SD: 3.8734 cents 27:29:31:33:36:39:41:46:50:54 SD: 3.5018 cents 28:30:32:34:37:40:43:48:51:56 SD: 3.0427 cents 40:43:46:49:53:57:61:69:73:80 SD: 2.4953 cents 42:45:48:51:56:60:64:72:77:84 SD: 1.6843 cents 57:61:65:70:76:81:87:98:105:114 SD: 1.6035 cents 63:67:72:77:84:90:96:108:116:126 SD: 1.4744 cents 68:73:78:83:91:97:104:117:125:136 SD: 1.3861 cents 70:75:80:86:93:100:107:120:128:140 SD: 1.3512 cents 72:77:82:88:96:103:110:123:132:144 SD: 1.2975 cents 84:90:96:103:112:120:128:144:154:168 SD: 0.7162 cents 98:105:112:120:131:140:150:168:180:196 SD: 0.7091 cents 116:124:133:142:155:166:177:199:213:232 SD: 0.6934 cents 129:138:148:158:172:184:197:221:237:258 SD: 0.6625 cents 131:140:150:160:175:187:200:225:240:262 SD: 0.6583 cents 138:148:158:169:184:197:211:237:253:276 SD: 0.6554 cents 140:150:160:171:187:200:214:240:257:280 SD: 0.6531 cents 144:154:165:176:192:206:220:247:264:288 SD: 0.6008 cents 152:163:174:186:203:217:232:261:279:304 SD: 0.5818 cents 159:170:182:195:212:227:243:273:292:318 SD: 0.5380 cents 161:172:184:197:215:230:246:276:295:322 SD: 0.4762 cents 173:185:198:212:231:247:264:297:317:346 SD: 0.4155 cents 201:215:230:246:268:287:307:345:369:402 SD: 0.2947 cents 271:290:310:332:362:387:414:465:497:542 SD: 0.2839 cents 290:310:332:355:387:414:443:497:532:580 SD: 0.2073 cents 374:400:428:458:499:534:571:641:686:748 SD: 0.1637 cents 442:473:506:541:590:631:675:758:811:884 SD: 0.1200 cents