Scala analysis: 693_S2
Semi-tempered tetrachord 1.26376 * 1.05231 * 1.0026
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 405.267 cents 405.267010 2: 493.539 cents 493.538730 3: 498.034 cents 498.034100
SHOW/INTERVAL
0: 4.4954 cents 4.4954 1: 405.2670 cents 405.2670 2: 88.2717 cents 88.2717 3: 4.4954 cents 4.4954
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 4.49537 cents 1: 1 88.27172 cents 1: 1 405.26701 cents 2: 1 92.76709 cents 2: 1 409.76238 cents 2: 1 493.53873 cents Highest number of different intervals for one interval class: 3 Average number of different intervals per interval class: 3.00000 = 3
SHOW/LINE/CENTS INTERVALS
1 2 3 0.0 : 405.3 493.5 498.0 405.3: 88.3 92.8 498.0 493.5: 4.5 409.8 498.0 498.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 4.4954 .. 405.2670 cents 400.77164 cents 4.49537 cents 2: 92.7671 .. 493.5387 cents 400.77164 cents -312.49992 cents
SHOW DATA
Number of notes : 3 -- Interval properties -- Smallest interval : 4.49537 cents, class 1 Average step (divided formal octave): 166.0114 cents Largest one step interval : 405.26701 cents Average / Smallest step : 36.929411 Largest / Average step : 2.441200 Largest / Smallest step : 90.152092 Median interval of one step : 88.27172 cents, amount: 1 Least squares average step : 206.17477 cents, oct.: 618.52431 cents Scale is not proper Scale has trivalence property Step pattern alph. order: ABC Step pattern size order : LMS Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 4.49537 cents Scale diversity : 0.223521 Lumma stability : 0.018052 Lumma impropriety factor : 0.627467 Rothenberg efficiency : 0.666667 redundancy: 0.333333 Efficiency x scale size : 2.000000 Number of different interval sizes : 6 = 3.00000 / class Number of one step interval sizes : 3 Highest interval variety : 3 Mean interval variety : 3.00000 = 3 Median interval variety : 3 Lowest interval variety : 3 Smallest interval difference : 4.49537 cents Number of recognisable fifths : 0 Number of recognisable fourths : 1, average 493.5387 cents Steps are strictly decreasing Formal octave complements present : 1 = 33.3333% 2/1 octave complements present : 0 = 0.0000% -- Rational properties --
FIT/MODE
3: 2 1 0 N G T3 SD: 42.3672 c. M: 73.2443 c. 4: 3 1 0 N G T3 SD: 18.5088 c. M: 31.7414 c. 5: 4 1 0 N G T3 SD: 4.7255 c. M: 6.8397 c. 11: 9 2 0 N G T3 SD: 2.8935 c. M:-4.4954 c. 16: 13 3 0 N G T3 SD: 2.6195 c. M:-4.4954 c. 27: 22 5 0 N G T3 SD: 2.6140 c. M:-4.4954 c. 43: 35 8 0 N G T3 SD: 2.5962 c. M:-4.4954 c. 57: 46 10 1 N T3 SD: 3.1189 c. M: 4.2421 c. 58: 47 10 1 N T3 SD: 2.5553 c. M: 4.0914 c. 59: 48 10 1 N T3 SD: 2.2787 c. M: 3.9459 c. 60: 49 10 1 N T3 SD: 2.3533 c. M: 3.8052 c. 61: 50 10 1 N T3 SD: 2.7209 c. M: 3.6691 c. 62: 50 11 1 N T3 SD: 2.9249 c. M: 3.6266 c. 63: 51 11 1 N T3 SD: 2.3111 c. M: 3.4099 c. 64: 52 11 1 N T3 SD: 1.9303 c. M: 3.2864 c. 65: 53 11 1 N T3 SD: 1.8889 c. M: 3.1667 c. 66: 54 11 1 N T3 SD: 2.1767 c. M: 3.0506 c. 68: 55 12 1 N T3 SD: 2.1588 c. M: 2.8287 c. 69: 56 12 1 N T3 SD: 1.6879 c. M: 2.7225 c. 70: 57 12 1 N T3 SD: 1.5206 c. M: 2.6194 c. 71: 58 12 1 N T3 SD: 1.7162 c. M: 2.5192 c. 74: 60 13 1 N T3 SD: 1.5398 c. M: 2.2348 c. 75: 61 13 1 N T3 SD: 1.2438 c. M: 2.1451 c. 76: 62 13 1 N T3 SD: 1.3270 c. M: 2.0577 c. 79: 64 14 1 N T3 SD: 1.4718 c. M: 1.8089 c. 80: 65 14 1 N T3 SD: 1.0599 c. M: 1.7301 c. 81: 66 14 1 N T3 SD: 1.0038 c. M: 1.6532 c. 85: 69 15 1 N T3 SD: 0.9698 c. M: 1.3639 c. 86: 70 15 1 N T3 SD: 0.7508 c. M: 1.2957 c. 87: 71 15 1 N T3 SD: 0.9816 c. M: 1.2292 c. 90: 73 16 1 N T3 SD: 0.9633 c. M: 1.3060 c. 91: 74 16 1 N T3 SD: 0.5859 c. M: 0.9775 c. 92: 75 16 1 N T3 SD: 0.6804 c. M: 0.9180 c. 96: 78 17 1 N T3 SD: 0.5344 c. M: 0.6925 c. 97: 79 17 1 N T3 SD: 0.4202 c. M: 0.6390 c. 102: 83 18 1 N T3 SD: 0.2236 c. M: 0.3873 c. 107: 87 19 1 N T3 SD: 0.2081 c. M: 0.3234 c. 113: 92 20 1 N T3 SD: 0.1326 c. M:-0.2121 c. 215: 175 38 2 N T3 SD: 0.1015 c. M: 0.1375 c. 220: 179 39 2 N T3 SD: 0.0335 c. M: 0.0484 c. 333: 271 59 3 N T3 SD: 0.0236 c. M:-0.0400 c. 553: 450 98 5 N T3 SD: 0.0052 c. M: 0.0077 c. 1879: 1529 333 17 N T3 SD: 0.0061 c. M: 0.0105 c. 1997: 1625 354 18 N T3 SD: 0.0052 c. M: 0.0064 c. 2330: 1896 413 21 N T3 SD: 0.0038 c. M:-0.0067 c.
FIT/HARMONIC
1 x x 2 S SD: 701.9659 cents 2 x x 3 S SD: 203.9209 cents 3 x x 4 S SD: 0.0109 cents 4:5 x x S SD: 18.9533 cents 5:6 x 7 S SD: 61.5819 cents 6 x x 8 S SD: 0.0109 cents 7:9 x x SD: 29.8171 cents 8:10 x 11 S SD: 28.2772 cents 9:11 x 12 SD: 28.9295 cents 10 x 13 x SD: 39.3248 cents 11:14 x 15 SD: 20.3982 cents 12:15 x 16 S SD: 9.4766 cents 13:16:17 x SD: 27.1321 cents 14:18 x 19 SD: 21.3814 cents 15:19 x 20 SD: 1.9887 cents 16:20:21 x S SD: 14.8083 cents 17:21 x 23 SD: 23.4252 cents 18:23 x 24 SD: 9.5487 cents 19:24:25 x SD: 9.2214 cents 20:25 x 27 SD: 14.3372 cents 21:27 x 28 SD: 14.9085 cents 22:28:29 x SD: 9.7891 cents 23:29 x 31 SD: 9.5710 cents 24:30 x 32 S SD: 9.4766 cents 25:32:33 x SD: 12.7954 cents 26:33 x 35 SD: 9.0933 cents 27:34 x 36 SD: 3.0883 cents 28:35:37 x SD: 10.9622 cents 29:37 x 39 SD: 11.1063 cents 30:38 x 40 SD: 1.9887 cents 31:39:41 x SD: 6.1569 cents 32:40 x 43 SD: 11.6301 cents 33:42 x 44 SD: 6.1205 cents 34:43:45 x SD: 4.1856 cents 35:44 x 47 SD: 7.6600 cents 36:45 x 48 S SD: 9.4766 cents 37:47:49 x SD: 5.7319 cents 38:48 x 51 SD: 5.6966 cents 39:49 x 52 SD: 5.0489 cents 40:51:53 x SD: 8.2960 cents 41:52 x 55 SD: 6.1116 cents 42:53 x 56 SD: 1.2717 cents 43:54:57 x SD: 6.1333 cents 44:56 x 59 SD: 7.8464 cents 45:57 x 60 SD: 1.9887 cents 46:58:61 x SD: 3.1624 cents 47:59 x 63 SD: 7.4020 cents 48:61 x 64 SD: 4.8314 cents 49:62:65 x SD: 2.4185 cents 51:64 x 68 SD: 6.0887 cents 52:66:69 x SD: 4.2026 cents 54:68 x 72 SD: 3.0883 cents 55:70:73 x SD: 6.3496 cents 56:71:74:75 SD: 4.8590 cents 57:72 x 76 SD: 0.4125 cents 58:73:77 x SD: 3.8276 cents 60:76 x 80 SD: 1.9887 cents 61:77:81 x SD: 1.6440 cents 63:80 x 84 SD: 4.1554 cents 64:81:85 x SD: 1.7080 cents 66:83 x 88 SD: 4.2463 cents 67:85:89 x SD: 3.4888 cents 69:87 x 92 SD: 1.9821 cents 70:88:93 x SD: 4.6220 cents 71:90:94:95 SD: 3.7203 cents 72:91 x 96 SD: 0.0884 cents 73:92:97 x SD: 2.4961 cents 75:95 x 100 SD: 1.9887 cents 76:96:101 x SD: 0.7273 cents 78:99 x 104 SD: 3.7391 cents 79:100:105 x SD: 1.4945 cents 81:102 x 108 SD: 3.0883 cents 82:104:109 x SD: 3.1236 cents 83:105:110:111 SD: 2.7049 cents 84:106 x 112 SD: 1.2717 cents 85:107:113 x SD: 3.4008 cents 86:109:114:115 SD: 3.0177 cents 87:110 x 116 SD: 0.4163 cents 88:111:117 x SD: 1.6563 cents 90:114 x 120 SD: 1.9887 cents 91:115:121 x SD: 0.1292 cents 93:118 x 124 SD: 3.4570 cents 94:119:125 x SD: 1.5047 cents 96:121 x 128 SD: 2.2931 cents 97:123:129 x SD: 2.9276 cents 98:124:130:131 SD: 2.1845 cents 99:125 x 132 SD: 0.7769 cents 100:126:133 x SD: 2.5807 cents 101:128:134:135 SD: 2.5584 cents 102:129 x 136 SD: 0.6477 cents 103:130:137 x SD: 1.1231 cents 105:133 x 140 SD: 1.9887 cents 106:134:141 x SD: 0.3398 cents 108:136 x 144 SD: 3.0883 cents 109:138:145 x SD: 1.5929 cents 111:140 x 148 SD: 1.7132 cents 112:142:149 x SD: 2.8199 cents 113:143:150:151 SD: 1.8368 cents 114:144 x 152 SD: 0.4125 cents 115:145:153 x SD: 2.0162 cents 117:148 x 156 SD: 0.8197 cents 118:149:157 x SD: 0.8306 cents 120:152 x 160 SD: 1.9887 cents 121:153:161 x SD: 0.6677 cents 123:155 x 164 SD: 2.4676 cents 124:157:165 x SD: 1.6983 cents 125:158:166:167 SD: 1.4168 cents 126:159 x 168 SD: 1.2717 cents 127:160:169 x SD: 2.7427 cents 128:162:170:171 SD: 1.6039 cents 129:163 x 172 SD: 0.1331 cents 130:164:173 x SD: 1.6322 cents 132:167 x 176 SD: 0.9526 cents 133:168:177 x SD: 0.7484 cents 135:171 x 180 SD: 1.9887 cents 136:172:181 x SD: 0.9250 cents 138:174 x 184 SD: 1.9821 cents 139:176:185 x SD: 1.8003 cents 140:177:186:187 SD: 1.2007 cents 141:178 x 188 SD: 0.9243 cents 142:179:189 x SD: 2.3100 cents 143:181:190:191 SD: 1.4507 cents 144:182 x 192 SD: 0.0884 cents 145:183:193 x SD: 1.3857 cents 148:187:197 x SD: 0.8076 cents 151:191:201 x SD: 1.1315 cents 152:192:202:203 SD: 1.0684 cents 154:195:205 x SD: 1.8927 cents 155:196:206:207 SD: 1.0594 cents 157:198:209 x SD: 1.9936 cents 158:200:210:211 SD: 1.3534 cents 159:201:211:212 SD: 1.2393 cents 160:202:213 x SD: 1.2469 cents 163:206:217 x SD: 0.9250 cents 166:210:221 x SD: 1.3008 cents 167:211:222:223 SD: 0.9060 cents 169:214:225 x SD: 1.9746 cents 170:215:226:227 SD: 0.9751 cents 172:217:229 x SD: 1.7676 cents 173:219:230:231 SD: 1.2956 cents 174:220:231:232 SD: 1.0288 cents 175:221:233 x SD: 1.1892 cents 178:225:237 x SD: 1.0547 cents 179:226:238:239 SD: 0.9812 cents 181:229:241 x SD: 1.4420 cents 182:230:242:243 SD: 0.8004 cents 184:233:245 x SD: 2.0468 cents 185:234:246:247 SD: 0.9332 cents 186:235:247:248 SD: 0.8423 cents 187:236:249 x SD: 1.6131 cents 188:238:250:251 SD: 1.2649 cents 189:239:251:252 SD: 0.8707 cents 190:240:253 x SD: 1.1874 cents 191:241:254:255 SD: 1.1807 cents 192:243:255:256 SD: 1.1387 cents 193:244 x 257 SD: 1.1656 cents 194:245:258:259 SD: 0.8468 cents 196:248 x 261 SD: 1.5260 cents 197:249:262:263 SD: 0.7420 cents 199:251 x 265 SD: 2.0005 cents 200:253:266:267 SD: 0.9212 cents 201:254:267:268 SD: 0.6562 cents 202:255 x 269 SD: 1.4272 cents 203:257:270:271 SD: 1.2528 cents 204:258:271:272 SD: 0.7584 cents 205:259 x 273 SD: 1.0771 cents 206:260:274:275 SD: 1.0274 cents 208:263 x 277 SD: 1.1308 cents 209:264:278:279 SD: 0.7556 cents 211:267 x 281 SD: 1.5187 cents 212:268:282:283 SD: 0.7203 cents 213:269:283:284 SD: 0.6596 cents 214:270 x 285 SD: 1.7440 cents 215:272:286:287 SD: 0.9289 cents 216:273:287:288 SD: 0.5086 cents 217:274 x 289 SD: 1.2409 cents 219:277:291:292 SD: 0.6864 cents 220:278 x 293 SD: 0.9824 cents 221:279:294:295 SD: 0.9112 cents 223:282 x 297 SD: 1.1148 cents 224:283:298:299 SD: 0.7017 cents 226:286 x 301 SD: 1.5180 cents 227:287:302:303 SD: 0.7249 cents 228:288:303:304 SD: 0.4849 cents 229:289 x 305 SD: 1.5247 cents 230:291:306:307 SD: 0.9490 cents 231:292:307:308 SD: 0.4003 cents 232:293 x 309 SD: 1.0879 cents 234:296:311:312 SD: 0.6492 cents 235:297 x 313 SD: 0.9172 cents 236:298:314:315 SD: 0.8273 cents 238:301 x 317 SD: 1.1123 cents 239:302:318:319 SD: 0.6782 cents 240:303:319:320 SD: 0.6510 cents 243:307:323:324 SD: 0.3323 cents 258:326:343:344 SD: 0.1988 cents 273:345:363:364 SD: 0.0862 cents 288:364:383:384 SD: 0.0590 cents 561:709:746:748 SD: 0.0498 cents