Scala analysis: xen14-darreg-telephone
Notes used for two-tone signalling on push-button telephones
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 172.430 cents 172.430000 2: 347.630 cents 347.630000 3: 519.640 cents 519.640000 4: 953.500 cents 953.500000 5: 1126.430 cents 1126.430000 6: 1300.010 cents 1300.010000 7: 1473.960 cents 1473.960000
SHOW/INTERVAL
0: 173.9500 cents 173.9500 1: 172.4300 cents 172.4300 2: 175.2000 cents 175.2000 3: 172.0100 cents 172.0100 4: 433.8600 cents 433.8600 5: 172.9300 cents 172.9300 6: 173.5800 cents 173.5800 7: 173.9500 cents 173.9500
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 172.01000 cents 1: 1 172.43000 cents 1: 1 172.93000 cents 1: 1 173.58000 cents 1: 1 173.95000 cents 1: 1 175.20000 cents 1: 1 433.86000 cents 2: 1 346.38000 cents 2: 1 346.51000 cents 2: 1 347.21000 cents 2: 1 347.53000 cents 2: 1 347.63000 cents 2: 1 605.87000 cents 2: 1 606.79000 cents 3: 1 519.64000 cents 3: 1 519.96000 cents 3: 1 520.46000 cents 3: 1 521.58000 cents 3: 1 778.80000 cents 3: 1 780.37000 cents 3: 1 781.07000 cents 4: 1 692.89000 cents 4: 1 693.59000 cents 4: 1 695.16000 cents 4: 1 952.38000 cents 4: 1 953.50000 cents 4: 1 954.00000 cents 4: 1 954.32000 cents 5: 1 867.17000 cents 5: 1 868.09000 cents 5: 1 1126.33000 cents 5: 1 1126.43000 cents 5: 1 1126.75000 cents 5: 1 1127.45000 cents 5: 1 1127.58000 cents 6: 1 1040.10000 cents 6: 1 1298.76000 cents 6: 1 1300.01000 cents 6: 1 1300.38000 cents 6: 1 1301.03000 cents 6: 1 1301.53000 cents 6: 1 1301.95000 cents Highest number of different intervals for one interval class: 7 Average number of different intervals per interval class: 7.00000 = 7
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 0.0 : 172.4 347.6 519.6 953.5 1126.4 1300.0 1474.0 172.4 : 175.2 347.2 781.1 954.0 1127.6 1301.5 1474.0 347.6 : 172.0 605.9 778.8 952.4 1126.3 1298.8 1474.0 519.6 : 433.9 606.8 780.4 954.3 1126.8 1301.9 1474.0 953.5 : 172.9 346.5 520.5 692.9 868.1 1040.1 1474.0 1126.4: 173.6 347.5 520.0 695.2 867.2 1301.0 1474.0 1300.0: 173.9 346.4 521.6 693.6 1127.4 1300.4 1474.0 1474.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 172.0100 .. 433.8600 cents 261.85000 cents 172.01000 cents 2: 346.3800 .. 606.7900 cents 260.41000 cents -87.48000 cents 3: 519.6400 .. 781.0700 cents 261.43000 cents -87.15000 cents 4: 692.8900 .. 954.3200 cents 261.43000 cents -88.18000 cents 5: 867.1700 .. 1127.5800 cents 260.41000 cents -87.15000 cents 6: 1040.1000 .. 1301.9500 cents 261.85000 cents -87.48000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 172.01000 cents, class 1 Average step (divided formal octave): 210.5657 cents Largest one step interval : 433.86000 cents Average / Smallest step : 1.224148 Largest / Average step : 2.060449 Largest / Smallest step : 2.522295 Median interval of one step : 173.58000 cents, amount: 1 Least squares average step : 214.21814 cents, oct.: 1499.52700 cents Scale is not proper Step pattern alph. order: ABCDEFG Step pattern size order : BFAGCDE Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 83.64000 cents Scale diversity : 0.853907 Lumma stability : 0.233398 Lumma impropriety factor : 0.296779 Rothenberg efficiency : 0.285714 redundancy: 0.714286 Efficiency x scale size : 2.000000 Number of different interval sizes : 42 = 7.00000 / class Number of one step interval sizes : 7 Highest interval variety : 7 Mean interval variety : 7.00000 = 7 Median interval variety : 7 Lowest interval variety : 7 Smallest interval difference : 0.10000 cents Number of recognisable fifths : 3, average 693.8800 cents Number of recognisable fourths : 0 Formal octave complements present : 1 = 14.2857% 2/1 octave complements present : 0 = 0.0000% -- Rational properties --
FIT/MODE
7: 0 1 1 2 1 1 1 N T3 SD: 105.1219 c. M: 172.4300 c. 8: 1 1 1 2 1 1 1 P M ME I SD: 21.5705 c. M:-33.0950 c. 9: 1 1 1 3 1 1 1 N M DE I SD: 19.3920 c. M:-29.1400 c. 17: 2 2 2 5 2 2 2 N M DE I SD: 0.6350 c. M:-0.9771 c. 462: 54 55 54 136 54 54 55 N SD: 0.6254 c. M: 1.5214 c. 479: 56 57 56 141 56 56 57 N SD: 0.5963 c. M: 1.4482 c. 496: 58 59 58 146 58 58 59 N SD: 0.5700 c. M: 1.3799 c. 513: 60 61 60 151 60 60 61 N SD: 0.5461 c. M: 1.3162 c. 530: 62 63 62 156 62 62 63 N SD: 0.5245 c. M: 1.2566 c. 533: 62 64 62 157 62 63 63 N SD: 0.6430 c. M: 0.9750 c. 539: 63 64 63 159 63 63 64 N SD: 0.5485 c. M: 1.0657 c. 547: 64 65 64 161 64 64 65 N SD: 0.5050 c. M: 1.2006 c. 550: 64 66 64 162 64 65 65 N SD: 0.6087 c. M: 0.9147 c. 556: 65 66 65 164 65 65 66 N SD: 0.5312 c. M: 1.0165 c. 564: 66 67 66 166 66 66 67 N SD: 0.4874 c. M: 1.1481 c. 567: 66 68 66 167 66 67 67 N SD: 0.5767 c. M: 0.8579 c. 573: 67 68 67 169 67 67 68 N SD: 0.5156 c. M: 0.9702 c. 581: 68 69 68 171 68 68 69 N SD: 0.4716 c. M: 1.0986 c. 584: 68 70 68 172 68 69 69 N SD: 0.5468 c. M: 0.8045 c. 590: 69 70 69 174 69 69 70 N SD: 0.5016 c. M: 0.9266 c. 598: 70 71 70 176 70 70 71 N SD: 0.4573 c. M: 1.0519 c. 601: 70 72 70 177 70 71 71 N SD: 0.5190 c. M: 0.7541 c. 607: 71 72 71 179 71 71 72 N SD: 0.4890 c. M: 0.8855 c. 615: 72 73 72 181 72 72 73 N SD: 0.4446 c. M: 1.0079 c. 618: 72 74 72 182 72 73 73 N SD: 0.4930 c. M: 0.7065 c. 624: 73 74 73 184 73 73 74 N SD: 0.4777 c. M: 0.8465 c. 632: 74 75 74 186 74 74 75 N SD: 0.4332 c. M: 0.9661 c. 635: 74 76 74 187 74 75 75 N SD: 0.4687 c. M: 0.6614 c. 641: 75 76 75 189 75 75 76 N SD: 0.4676 c. M: 0.8097 c. 649: 76 77 76 191 76 76 77 N SD: 0.4230 c. M: 0.9266 c. 652: 76 78 76 192 76 77 77 N SD: 0.4461 c. M: 0.6187 c. 653: 76 78 76 192 77 77 77 N SD: 0.5279 c. M: 0.9562 c. 658: 77 78 77 194 77 77 78 N SD: 0.4586 c. M: 0.7747 c. 666: 78 79 78 196 78 78 79 N SD: 0.4140 c. M: 0.8891 c. 669: 78 80 78 197 78 79 79 N SD: 0.4250 c. M: 0.5801 c. 670: 78 80 78 197 79 79 79 N SD: 0.5056 c. M: 0.9259 c. 675: 79 80 79 199 79 79 80 N SD: 0.4506 c. M:-0.7526 c. 678: 79 81 79 200 79 80 80 N SD: 0.4444 c. M:-0.8782 c. 683: 80 81 80 201 80 80 81 N SD: 0.4061 c. M: 0.8535 c. 686: 80 82 80 202 80 81 81 N SD: 0.4053 c. M: 0.5480 c. 687: 80 82 80 202 81 81 81 N SD: 0.4847 c. M: 0.8970 c. 692: 81 82 81 204 81 81 82 N SD: 0.4436 c. M:-0.7400 c. 695: 81 83 81 205 81 82 82 N SD: 0.4270 c. M:-0.8626 c. 700: 82 83 82 206 82 82 83 N SD: 0.3991 c. M: 0.8195 c. 703: 82 84 82 207 82 83 83 N SD: 0.3869 c. M: 0.5175 c. 720: 84 86 84 212 84 85 85 N SD: 0.3699 c. M: 0.4883 c. 737: 86 88 86 217 86 87 87 N SD: 0.3541 c. M:-0.4741 c. 754: 88 90 88 222 88 89 89 N SD: 0.3394 c. M:-0.4688 c. 771: 90 92 90 227 90 91 91 N SD: 0.3259 c. M:-0.4637 c. 788: 92 94 92 232 92 93 93 N SD: 0.3134 c. M:-0.4589 c. 805: 94 96 94 237 94 95 95 N SD: 0.3020 c. M:-0.4542 c. 822: 96 98 96 242 96 97 97 N SD: 0.2915 c. M:-0.4498 c. 839: 98 100 98 247 98 99 99 N SD: 0.2820 c. M:-0.4455 c. 856: 100 102 100 252 100 101 101 N SD: 0.2734 c. M:-0.4414 c. 873: 102 104 102 257 102 103 103 N SD: 0.2657 c. M:-0.4375 c. 890: 104 106 104 262 104 105 105 N SD: 0.2589 c. M:-0.4337 c. 907: 106 108 106 267 106 107 107 N SD: 0.2528 c. M:-0.4300 c. 924: 108 110 108 272 108 109 109 N SD: 0.2475 c. M:-0.4265 c. 941: 110 112 110 277 110 111 111 N SD: 0.2430 c. M:-0.4231 c. 958: 112 114 112 282 112 113 113 N SD: 0.2391 c. M:-0.4198 c. 975: 114 116 114 287 114 115 115 N SD: 0.2359 c. M:-0.4167 c. 992: 116 118 116 292 116 117 117 N SD: 0.2333 c. M:-0.4136 c. 1009: 118 120 118 297 118 119 119 N SD: 0.2313 c. M:-0.4107 c. 1026: 120 122 120 302 120 121 121 N SD: 0.2298 c. M:-0.4122 c. 1043: 122 124 122 307 122 123 123 N SD: 0.2288 c. M:-0.4149 c. 1060: 124 126 124 312 124 125 125 N SD: 0.2283 c. M:-0.4176 c. 1077: 126 128 126 317 126 127 127 N SD: 0.2281 c. M:-0.4202 c. 1094: 128 130 128 322 128 129 129 N SD: 0.2284 c. M:-0.4227 c. 1111: 130 132 130 327 130 131 131 N SD: 0.2290 c. M:-0.4251 c. 1128: 132 134 132 332 132 133 133 N SD: 0.2299 c. M:-0.4274 c. 1144: 134 136 133 337 134 135 135 N SD: 0.2375 c. M: 0.4041 c. 1145: 134 136 134 337 134 135 135 N SD: 0.2311 c. M:-0.4297 c. 1161: 136 138 135 342 136 137 137 N SD: 0.2300 c. M: 0.3897 c. 1162: 136 138 136 342 136 137 137 N SD: 0.2325 c. M:-0.4319 c. 1178: 138 140 137 347 138 139 139 N SD: 0.2230 c. M: 0.3757 c. 1195: 140 142 139 352 140 141 141 N SD: 0.2165 c. M: 0.3620 c. 1212: 142 144 141 357 142 143 143 N SD: 0.2105 c. M: 0.3488 c. 1229: 144 146 143 362 144 145 145 N SD: 0.2050 c. M: 0.3359 c. 1246: 146 148 145 367 146 147 147 N SD: 0.2001 c. M: 0.3234 c. 1263: 148 150 147 372 148 149 149 N SD: 0.1956 c. M: 0.3113 c. 1280: 150 152 149 377 150 151 151 N SD: 0.1915 c. M:-0.2997 c. 1297: 152 154 151 382 152 153 153 N SD: 0.1880 c. M:-0.3086 c. 1314: 154 156 153 387 154 155 155 N SD: 0.1849 c. M:-0.3172 c. 1331: 156 158 155 392 156 157 157 N SD: 0.1822 c. M:-0.3256 c. 1336: 156 159 156 393 157 157 158 N SD: 0.2157 c. M: 0.3656 c. 1348: 158 160 157 397 158 159 159 N SD: 0.1799 c. M:-0.3339 c. 1353: 158 161 158 398 159 159 160 N SD: 0.2090 c. M: 0.3542 c. 1365: 160 162 159 402 160 161 161 N SD: 0.1781 c. M:-0.3419 c. 1370: 160 163 160 403 161 161 162 N SD: 0.2026 c. M: 0.3431 c. 1382: 162 164 161 407 162 163 163 N SD: 0.1766 c. M:-0.3497 c. 1387: 162 165 162 408 163 163 164 N SD: 0.1967 c. M: 0.3322 c. 1399: 164 166 163 412 164 165 165 N SD: 0.1756 c. M:-0.3573 c. 1404: 164 167 164 413 165 165 166 N SD: 0.1912 c. M: 0.3216 c. 1416: 166 168 165 417 166 167 167 N SD: 0.1748 c. M:-0.3647 c. 1421: 166 169 166 418 167 167 168 N SD: 0.1860 c. M: 0.3113 c. 1430: 167 170 167 421 168 168 169 N SD: 0.1984 c. M: 0.2962 c. 1433: 168 170 167 422 168 169 169 N SD: 0.1744 c. M:-0.3720 c. 1438: 168 171 168 423 169 169 170 N SD: 0.1812 c. M: 0.3012 c. 1447: 169 172 169 426 170 170 171 N SD: 0.1946 c. M: 0.2813 c. 1450: 170 172 169 427 170 171 171 N SD: 0.1744 c. M:-0.3791 c. 1455: 170 173 170 428 171 171 172 N SD: 0.1769 c. M: 0.2913 c. 1467: 172 174 171 432 172 173 173 N SD: 0.1746 c. M:-0.3860 c. 1472: 172 175 172 433 173 173 174 N SD: 0.1729 c. M: 0.2817 c. 1489: 174 177 174 438 175 175 176 N SD: 0.1693 c. M: 0.2723 c. 1506: 176 179 176 443 177 177 178 N SD: 0.1660 c. M: 0.2631 c. 1523: 178 181 178 448 179 179 180 N SD: 0.1631 c. M: 0.2541 c. 1540: 180 183 180 453 181 181 182 N SD: 0.1606 c. M: 0.2453 c. 1557: 182 185 182 458 183 183 184 N SD: 0.1585 c. M: 0.2367 c. 1574: 184 187 184 463 185 185 186 N SD: 0.1567 c. M: 0.2282 c. 1591: 186 189 186 468 187 187 188 N SD: 0.1552 c. M: 0.2200 c. 1608: 188 191 188 473 189 189 190 N SD: 0.1541 c. M: 0.2228 c. 1625: 190 193 190 478 191 191 192 N SD: 0.1532 c. M: 0.2290 c. 1642: 192 195 192 483 193 193 194 N SD: 0.1527 c. M: 0.2350 c. 1659: 194 197 194 488 195 195 196 N SD: 0.1524 c. M: 0.2410 c. 1713: 200 204 200 504 201 202 202 N SD: 0.1520 c. M: 0.3389 c. 1730: 202 206 202 509 203 204 204 N SD: 0.1478 c. M: 0.3260 c. 1747: 204 208 204 514 205 206 206 N SD: 0.1439 c. M: 0.3133 c. 1764: 206 210 206 519 207 208 208 N SD: 0.1404 c. M: 0.3009 c. 1781: 208 212 208 524 209 210 210 N SD: 0.1371 c. M: 0.2887 c. 1798: 210 214 210 529 211 212 212 N SD: 0.1341 c. M: 0.2767 c. 1815: 212 216 212 534 213 214 214 N SD: 0.1314 c. M: 0.2650 c. 1832: 214 218 214 539 215 216 216 N SD: 0.1291 c. M: 0.2534 c. 1849: 216 220 216 544 217 218 218 N SD: 0.1270 c. M: 0.2421 c. 1866: 218 222 218 549 219 220 220 N SD: 0.1252 c. M: 0.2310 c. 1883: 220 224 220 554 221 222 222 N SD: 0.1237 c. M: 0.2201 c. 1900: 222 226 222 559 223 224 224 N SD: 0.1226 c. M: 0.2094 c. 1917: 224 228 224 564 225 226 226 N SD: 0.1216 c. M: 0.1989 c. 1934: 226 230 226 569 227 228 228 N SD: 0.1210 c. M: 0.1886 c. 1951: 228 232 228 574 229 230 230 N SD: 0.1206 c. M:-0.1874 c. 1968: 230 234 230 579 231 232 232 N SD: 0.1205 c. M:-0.1905 c. 2255: 264 268 263 664 264 266 266 N SD: 0.1221 c. M: 0.2069 c. 2272: 266 270 265 669 266 268 268 N SD: 0.1211 c. M: 0.2000 c. 2289: 268 272 267 674 268 270 270 N SD: 0.1203 c. M: 0.1932 c. 2306: 270 274 269 679 270 272 272 N SD: 0.1197 c. M: 0.1865 c. 2323: 272 276 271 684 272 274 274 N SD: 0.1192 c. M: 0.1799 c. 2340: 274 278 273 689 274 276 276 N SD: 0.1190 c. M: 0.1734 c. 2357: 276 280 275 694 276 278 278 N SD: 0.1189 c. M:-0.1678 c. 2374: 278 282 277 699 278 280 280 N SD: 0.1190 c. M:-0.1736 c. 2379: 278 283 278 700 279 280 281 N SD: 0.1171 c. M: 0.1892 c. 2391: 280 284 279 704 280 282 282 N SD: 0.1193 c. M:-0.1793 c. 2396: 280 285 280 705 281 282 283 N SD: 0.1151 c. M:-0.1831 c.
FIT/HARMONIC
1 x x x x 2 x x S SD: 73.5700 cents 2 x x 3 x 4 x 5 S SD: 75.4797 cents 3 x x 4:5:6 x 7 S SD: 25.8719 cents 4 x 5 x 7:8 x 9 SD: 27.4441 cents 5 x 6:7:9:10:11:12 SD: 23.8390 cents 6 x 7:8:10:12:13:14 S SD: 22.8028 cents 7:8 x 9:12:13:15:16 SD: 21.2256 cents 8:9:10:11:14:15:17:19 SD: 10.8433 cents 9:10:11:12:16:17:19:21 SD: 7.9738 cents 17:19:21:23:29:33:36:40 SD: 6.5755 cents 18:20:22:24:31:35:38:42 SD: 5.3933 cents 22:24:27:30:38:42:47:52 SD: 5.2643 cents 23:25:28:31:40:44:49:54 SD: 4.4715 cents 26:29:32:35:45:50:55:61 SD: 3.2025 cents 35:39:43:47:61:67:74:82 SD: 3.1053 cents 37:41:45:50:64:71:78:87 SD: 2.2673 cents 46:51:56:62:80:88:97:108 SD: 2.0827 cents 49:54:60:66:85:94:104:115 SD: 1.1246 cents 85:94:104:115:147:163:180:199 SD: 1.0046 cents 86:95:105:116:149:165:182:201 SD: 0.8568 cents 94:104:115:127:163:180:199:220 SD: 0.6306 cents 117:129:143:158:203:224:248:274 SD: 0.5906 cents 135:149:165:182:234:259:286:316 SD: 0.5600 cents 143:158:175:193:248:274:303:335 SD: 0.3132 cents 260:287:318:351:451:498:551:609 SD: 0.3118 cents 288:318:352:389:500:552:610:675 SD: 0.3107 cents 297:328:363:401:515:569:629:696 SD: 0.2213 cents 400:442:489:540:694:767:848:937 SD: 0.1836 cents 440:486:538:594:763:843:932:1031 SD: 0.1820 cents 468:517:572:632:812:897:992:1096 SD: 0.1698 cents 486:537:594:656:843:932:1030:1139 SD: 0.1653 cents 505:558:617:682:876:968:1070:1183 SD: 0.1573 cents 517:571:632:698:897:991:1095:1211 SD: 0.1535 cents 554:612:677:748:961:1062:1174:1298 SD: 0.0832 cents