Scala analysis: semafip
Lesfip scale related to Semaphore[9]
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 115.587 cents 115.587050 2: 317.366 cents 317.365600 3: 383.679 cents 383.679340 4: 499.338 cents 499.338240 5: 700.662 cents 700.661760 6: 816.321 cents 816.320660 7: 882.634 cents 882.634400 8: 1084.413 cents 1084.412950 9: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 115.5871 cents 115.5871 1: 115.5871 cents 115.5871 2: 201.7785 cents 201.7785 3: 66.3137 cents 66.3137 4: 115.6589 cents 115.6589 5: 201.3235 cents 201.3235 6: 115.6589 cents 115.6589 7: 66.3137 cents 66.3137 8: 201.7785 cents 201.7785 9: 115.5871 cents 115.5871
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 2 66.31374 cents 1: 2 115.58705 cents 1: 2 115.65890 cents 1: 1 201.32352 cents 1: 2 201.77855 cents 2: 2 181.97264 cents 2: 1 231.17410 cents 2: 2 268.09229 cents 2: 2 316.98242 cents 2: 2 317.36560 cents 3: 2 383.29616 cents 3: 2 383.67934 cents 3: 2 383.75119 cents 3: 1 432.64132 cents 3: 2 432.95265 cents 4: 2 498.95506 cents 4: 2 499.26639 cents 4: 2 499.33824 cents 4: 2 585.07471 cents 4: 1 634.73120 cents 5: 1 565.26880 cents 5: 2 614.92529 cents 5: 2 700.66176 cents 5: 2 700.73361 cents 5: 2 701.04494 cents 6: 2 767.04735 cents 6: 1 767.35868 cents 6: 2 816.24881 cents 6: 2 816.32066 cents 6: 2 816.70384 cents 7: 2 882.63440 cents 7: 2 883.01758 cents 7: 2 931.90771 cents 7: 1 968.82590 cents 7: 2 1018.02736 cents 8: 2 998.22145 cents 8: 1 998.67648 cents 8: 2 1084.34110 cents 8: 2 1084.41295 cents 8: 2 1133.68626 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 6 7 8 9 0.0 : 115.6 317.4 383.7 499.3 700.7 816.3 882.6 1084.4 1200.0 115.6 : 201.8 268.1 383.8 585.1 700.7 767.0 968.8 1084.4 1200.0 317.4 : 66.3 182.0 383.3 499.0 565.3 767.0 882.6 998.2 1200.0 383.7 : 115.7 317.0 432.6 499.0 700.7 816.3 931.9 1133.7 1200.0 499.3 : 201.3 317.0 383.3 585.1 700.7 816.2 1018.0 1084.3 1200.0 700.7 : 115.7 182.0 383.8 499.3 614.9 816.7 883.0 998.7 1200.0 816.3 : 66.3 268.1 383.7 499.3 701.0 767.4 883.0 1084.3 1200.0 882.6 : 201.8 317.4 433.0 634.7 701.0 816.7 1018.0 1133.7 1200.0 1084.4: 115.6 231.2 433.0 499.3 614.9 816.2 931.9 998.2 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 66.3137 .. 201.7785 cents 135.46481 cents 66.31374 cents 2: 181.9726 .. 317.3656 cents 135.39296 cents -19.80591 cents 3: 383.2962 .. 432.9526 cents 49.65649 cents 65.93056 cents 4: 498.9551 .. 634.7312 cents 135.77614 cents 66.00241 cents 5: 565.2688 .. 701.0449 cents 135.77614 cents -69.46240 cents 6: 767.0473 .. 816.7038 cents 49.65649 cents 66.00241 cents 7: 882.6344 .. 1018.0274 cents 135.39296 cents 65.93056 cents 8: 998.2214 .. 1133.6863 cents 135.46481 cents -19.80591 cents
SHOW DATA
Number of notes : 9 -- Interval properties -- Smallest interval : 66.31374 cents, class 1 Average step (divided formal octave): 133.3333 cents Largest one step interval : 201.77855 cents Average / Smallest step : 2.010644 Largest / Average step : 1.513339 Largest / Smallest step : 3.042786 Median interval of one step : 115.65890 cents, amount: 2 Least squares average step : 133.17083 cents, oct.: 1198.53746 cents Scale is not proper Step pattern alph. order: ABCDEDCBA Step pattern size order : BEACDCAEB Scale is a Constant Structure, by a margin of 19.35088 cents Scale diversity : 1.410058 Lumma stability : 0.330411 Lumma impropriety factor : 0.090895 Rothenberg efficiency : 0.320988 redundancy: 0.679012 Efficiency x scale size : 2.888889 Number of different interval sizes : 40 = 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 : 0.07185 cents Number of recognisable fifths : 6, average 700.8134 cents Formal octave complements present : 9 = 100.0000% Inversional symmetry on degrees : 0 Inversional symmetry on intervals : 4-5 -- Rational properties --
FIT/MODE
9: 1 1 1 1 1 1 1 1 1 SP B ME I SD: 30.9384 c. M: 50.6989 c. Pelog Nawanada: Sunda 10: 1 2 0 1 2 1 0 2 1 N D3 I SD: 24.8187 c. M:-42.6344 c. 12: 1 2 1 1 2 1 1 2 1 P B ME I SD: 13.4274 c. M: 17.3656 c. Genus chromaticum, Tcherepnin Nonatonic mode 1, Augmented-9 19: 2 3 1 2 3 2 1 3 2 N D3 I SD: 6.2376 c. M:-10.7287 c. 22: 2 4 1 2 4 2 1 4 2 N I SD: 6.9100 c. M: 9.9071 c. 31: 3 5 2 3 5 3 2 5 3 N I SD: 4.3766 c. M: 7.6882 c. Genus chromaticum 41: 4 7 2 4 7 4 2 7 4 N I SD: 2.8512 c. M: 4.5856 c. 53: 5 9 3 5 9 5 3 9 5 N I SD: 1.3996 c. M:-2.3795 c. 72: 7 12 4 7 12 7 4 12 7 N I SD: 0.7011 c. M:-1.0796 c. 125: 12 21 7 12 21 12 7 21 12 N I SD: 0.3626 c. M: 0.5656 c. 197: 19 33 11 19 33 19 11 33 19 N I SD: 0.3089 c. M: 0.6143 c. 238: 23 40 13 23 40 23 13 40 23 N I SD: 0.3304 c. M: 0.4861 c. 291: 28 49 16 28 49 28 16 49 28 N I SD: 0.2147 c. M:-0.3692 c. 363: 35 61 20 35 61 35 20 61 35 N I SD: 0.1366 c. M: 0.2083 c. 488: 47 82 27 47 82 47 27 82 47 N I SD: 0.1092 c. M:-0.1579 c. 851: 82 143 47 82 143 82 47 143 82 N I SD: 0.1086 c. M:-0.1608 c. 923: 89 155 51 89 155 89 51 155 89 N I SD: 0.1206 c. M: 0.1474 c. 1048: 101 176 58 101 176 101 58 176 101 N I SD: 0.1141 c. M: 0.1900 c. 1214: 117 204 67 117 204 117 67 204 117 N I SD: 0.1140 c. M:-0.1620 c. 1339: 129 225 74 129 225 129 74 225 129 N I SD: 0.1064 c. M:-0.1597 c. 1411: 136 237 78 136 237 136 78 237 136 N I SD: 0.1106 c. M: 0.1438 c. 1536: 148 258 85 148 258 148 85 258 148 N I SD: 0.1103 c. M: 0.1781 c. 1557: 150 262 86 150 261 150 86 262 150 N I SD: 0.1096 c. M: 0.1681 c. 1629: 157 274 90 157 273 157 90 274 157 N I SD: 0.1015 c. M: 0.1298 c. 1682: 162 283 93 162 282 162 93 283 162 N I SD: 0.0941 c. M: 0.1494 c. 1754: 169 295 97 169 294 169 97 295 169 N I SD: 0.0852 c. M:-0.1291 c. 1826: 176 307 101 176 306 176 101 307 176 N I SD: 0.0861 c. M:-0.1141 c. 1879: 181 316 104 181 315 181 104 316 181 N I SD: 0.0780 c. M: 0.1418 c. 1920: 185 323 106 185 322 185 106 323 185 N I SD: 0.0758 c. M: 0.1344 c. 1973: 190 332 109 190 331 190 109 332 190 N I SD: 0.0754 c. M: 0.1205 c. 1992: 192 335 110 192 334 192 110 335 192 N I SD: 0.0718 c. M: 0.1043 c. 2045: 197 344 113 197 343 197 113 344 197 N I SD: 0.0607 c. M: 0.0916 c. 2117: 204 356 117 204 355 204 117 356 204 N I SD: 0.0555 c. M:-0.0713 c. 2170: 209 365 120 209 364 209 120 365 209 N I SD: 0.0541 c. M:-0.0995 c. 2242: 216 377 124 216 376 216 124 377 216 N I SD: 0.0474 c. M:-0.0852 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: 0.6466 cents 3 x x x 4 x x 5 x 6 S SD: 0.7185 cents 4 x x 5 x 6 x 7 x 8 S SD: 21.5604 cents 5 x 6 x 7 x 8 x 9:10 S SD: 21.3469 cents 6 x 7 x 8:9 x 10:11:12 S SD: 10.2531 cents 7 x 8:9 x x 11:12:13:14 SD: 19.6688 cents 8:9 x 10:11:12:13 x 15:16 SD: 15.0593 cents 9:10:11 x 12:13:14:15:17:18 SD: 13.9151 cents 10:11:12 x 13:15:16:17:19:20 SD: 10.0808 cents 11:12:13:14:15:16 x 18:21:22 S SD: 12.1278 cents 12:13:14:15:16:18:19:20:22:24 S SD: 7.6585 cents 13:14 x 16:17:19:21:22:24:26 SD: 9.1763 cents 14:15:17 x 19:21:22:23:26:28 SD: 6.9299 cents 15:16:18:19:20:22:24:25:28:30 SD: 5.1070 cents 18:19:22 x 24:27:29:30:34:36 SD: 5.2383 cents 20:21:24:25:27:30:32:33:37:40 SD: 4.9900 cents 24:26:29:30:32:36:38:40:45:48 SD: 3.6730 cents 28:30:34:35:37:42:45:47:52:56 SD: 3.5886 cents 30:32:36:37:40:45:48:50:56:60 SD: 2.4101 cents 40:43:48:50:53:60:64:67:75:80 SD: 2.1681 cents 44:47:53:55:59:66:71:73:82:88 SD: 2.0311 cents 45:48:54:56:60:67:72:75:84:90 SD: 1.5875 cents 56:60:67:70:75:84:90:93:105:112 SD: 1.4601 cents 60:64:72:75:80:90:96:100:112:120 SD: 0.8082 cents 114:122:137:142:152:171:183:190:213:228 SD: 0.6713 cents 116:124:139:145:155:174:186:193:217:232 SD: 0.6584 cents 129:138:155:161:172:193:207:215:241:258 SD: 0.5879 cents 144:154:173:180:192:216:231:240:269:288 SD: 0.5425 cents 158:169:190:197:211:237:253:263:296:316 SD: 0.4838 cents 173:185:208:216:231:259:277:288:324:346 SD: 0.4205 cents 189:202:227:236:252:283:303:315:354:378 SD: 0.4059 cents 218:233:262:272:291:327:349:363:408:436 SD: 0.2858 cents 287:307:345:358:383:430:460:478:537:574 SD: 0.2421 cents 302:323:363:377:403:453:484:503:565:604 SD: 0.2257 cents 347:371:417:433:463:520:556:578:649:694 SD: 0.1436 cents 463:495:556:578:618:694:742:771:866:926 SD: 0.1087 cents