Scala analysis: albionbyz
Albion 225/224 planar scale
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 116.015 cents 116.015465 2: 199.626 cents 199.625824 3: 315.641 cents 315.641288 4: 384.172 cents 384.171624 5: 500.187 cents 500.187089 6: 616.203 cents 616.202554 7: 699.813 cents 699.812911 8: 815.828 cents 815.828377 9: 884.359 cents 884.358712 10: 1000.374 cents 1000.374177 11: 1083.985 cents 1083.984535 12: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 116.0155 cents 116.0155 1: 116.0155 cents 116.0155 2: 83.6104 cents 83.6104 3: 116.0155 cents 116.0155 4: 68.5303 cents 68.5303 5: 116.0155 cents 116.0155 6: 116.0155 cents 116.0155 7: 83.6104 cents 83.6104 8: 116.0155 cents 116.0155 9: 68.5303 cents 68.5303 10: 116.0155 cents 116.0155 11: 83.6104 cents 83.6104 12: 116.0155 cents 116.0155
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 2 68.53034 cents 1: 3 83.61036 cents 1: 7 116.01547 cents 2: 4 184.54580 cents 2: 6 199.62582 cents 2: 2 232.03093 cents 3: 3 268.15616 cents 3: 3 300.56126 cents 3: 6 315.64129 cents 4: 7 384.17162 cents 4: 1 399.25165 cents 4: 1 416.57673 cents 4: 3 431.65675 cents 5: 1 467.78198 cents 5: 9 500.18709 cents 5: 2 515.26711 cents 6: 1 568.71742 cents 6: 5 583.79745 cents 6: 5 616.20255 cents 6: 1 631.28258 cents 7: 2 684.73289 cents 7: 9 699.81291 cents 7: 1 732.21802 cents 8: 3 768.34325 cents 8: 1 783.42327 cents 8: 1 800.74835 cents 8: 7 815.82838 cents 9: 6 884.35871 cents 9: 3 899.43873 cents 9: 3 931.84384 cents 10: 2 967.96907 cents 10: 6 1000.37418 cents 10: 4 1015.45420 cents 11: 7 1083.98453 cents 11: 3 1116.38964 cents 11: 2 1131.46966 cents Highest number of different intervals for one interval class: 4 Average number of different intervals per interval class: 3.27273 = 36/11
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 10 11 12 0.0 : 116.0 199.6 315.6 384.2 500.2 616.2 699.8 815.8 884.4 1000.4 1084.0 1200.0 116.0 : 83.6 199.6 268.2 384.2 500.2 583.8 699.8 768.3 884.4 968.0 1084.0 1200.0 199.6 : 116.0 184.5 300.6 416.6 500.2 616.2 684.7 800.7 884.4 1000.4 1116.4 1200.0 315.6 : 68.5 184.5 300.6 384.2 500.2 568.7 684.7 768.3 884.4 1000.4 1084.0 1200.0 384.2 : 116.0 232.0 315.6 431.7 500.2 616.2 699.8 815.8 931.8 1015.5 1131.5 1200.0 500.2 : 116.0 199.6 315.6 384.2 500.2 583.8 699.8 815.8 899.4 1015.5 1084.0 1200.0 616.2 : 83.6 199.6 268.2 384.2 467.8 583.8 699.8 783.4 899.4 968.0 1084.0 1200.0 699.8 : 116.0 184.5 300.6 384.2 500.2 616.2 699.8 815.8 884.4 1000.4 1116.4 1200.0 815.8 : 68.5 184.5 268.2 384.2 500.2 583.8 699.8 768.3 884.4 1000.4 1084.0 1200.0 884.4 : 116.0 199.6 315.6 431.7 515.3 631.3 699.8 815.8 931.8 1015.5 1131.5 1200.0 1000.4: 83.6 199.6 315.6 399.3 515.3 583.8 699.8 815.8 899.4 1015.5 1084.0 1200.0 1084.0: 116.0 232.0 315.6 431.7 500.2 616.2 732.2 815.8 931.8 1000.4 1116.4 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 68.5303 .. 116.0155 cents 47.48513 cents 68.53034 cents 2: 184.5458 .. 232.0309 cents 47.48513 cents 68.53033 cents 3: 268.1562 .. 315.6413 cents 47.48513 cents 36.12523 cents 4: 384.1716 .. 431.6568 cents 47.48513 cents 68.53034 cents 5: 467.7820 .. 515.2671 cents 47.48513 cents 36.12523 cents 6: 568.7174 .. 631.2826 cents 62.56515 cents 53.45031 cents 7: 684.7329 .. 732.2180 cents 47.48513 cents 53.45031 cents 8: 768.3432 .. 815.8284 cents 47.48513 cents 36.12523 cents 9: 884.3587 .. 931.8438 cents 47.48513 cents 68.53033 cents 10: 967.9691 .. 1015.4542 cents 47.48513 cents 36.12523 cents 11: 1083.9845 .. 1131.4697 cents 47.48513 cents 68.53033 cents
SHOW DATA
Number of notes : 12 -- Interval properties -- Smallest interval : 68.53033 cents, class 1 Average step (divided formal octave): 100.0000 cents Largest one step interval : 116.01547 cents Average / Smallest step : 1.459208 Largest / Average step : 1.160155 Largest / Smallest step : 1.692907 Median interval of one step : 116.01547 cents, amount: 7 Most common interval of one step : 116.01547 cents, amount: 7 Least squares average step : 99.86022 cents, oct.: 1198.32269 cents Scale is strictly proper Step pattern alph. order: ABACAABACABA Step pattern size order : LMLSLLMLSLML Scale is a Constant Structure, by a margin of 36.12523 cents Scale diversity : 1.333852 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.552153 Rothenberg efficiency : 0.416997 redundancy: 0.583003 Efficiency x scale size : 5.003968 Number of different interval sizes : 36 = 3.27273 / class Number of one step interval sizes : 3 Highest interval variety : 4 Mean interval variety : 3.27273 = 36/11 Median interval variety : 3 Lowest interval variety : 3 Smallest interval difference : 15.08002 cents Most common intervals : 500.18709 cents & inv., amount: 9 Most common triad is 0.0 500.187 699.813 cents, amount: 6 Number of recognisable fifths : 9, average 699.8129 cents Scale contains two identical conjunct hexachords Best fifths form a closed circle Formal octave complements present : 11 = 91.6667% Limited inverse transpositions with margin 47.4851 cents: 5 -- Rational properties --
FIT/MODE
12: 1 1 1 1 1 1 1 1 1 1 1 1 SP B ME I SD: 12.1320 c. M: 16.2026 c. Twelve-tone Chromatic (1/11-comma) 19: 2 1 2 1 2 2 1 2 1 2 1 2 P M ME SD: 7.9630 c. M:-15.3764 c. Yasser's Supradiatonic, Genus diatonico-chromaticum inverse 31: 3 2 3 2 3 3 2 3 2 3 2 3 SP M ME SD: 3.9849 c. M: 6.0774 c. 41: 4 3 4 2 4 4 3 4 2 4 3 4 SP SD: 3.8776 c. M:-6.3099 c. 53: 5 4 5 3 5 5 4 5 3 5 4 5 SP SD: 2.6969 c. M: 4.8818 c. 60: 6 4 6 3 6 6 4 6 3 6 4 6 SP SD: 3.1534 c. M: 4.3587 c. 72: 7 5 7 4 7 7 5 7 4 7 5 7 SP SD: 0.6404 c. M: 1.0254 c. 156: 15 11 15 9 15 15 11 15 9 15 11 15 SP SD: 0.4416 c. M: 0.8179 c. 228: 22 16 22 13 22 22 16 22 13 22 16 22 SP SD: 0.2362 c. M: 0.4131 c. 300: 29 21 29 17 29 29 21 29 17 29 21 29 SP SD: 0.2429 c. M: 0.3742 c. 331: 32 23 32 19 32 32 23 32 19 32 23 32 SP SD: 0.1532 c. M: 0.2334 c. 403: 39 28 39 23 39 39 28 39 23 39 28 39 SP SD: 0.0909 c. M:-0.1746 c. 559: 54 39 54 32 54 54 39 54 32 54 39 54 SP SD: 0.0682 c. M: 0.1024 c. 631: 61 44 61 36 61 61 44 61 36 61 44 61 SP SD: 0.0355 c. M: 0.0572 c. 962: 93 67 93 55 93 93 67 93 55 93 67 93 SP SD: 0.0302 c. M: 0.0488 c. 1034: 100 72 100 59 100 100 72 100 59 100 72 100 SP SD: 0.0272 c. M:-0.0450 c. 1593: 154 111 154 91 154 154 111 154 91 154 111 154 SP SD: 0.0069 c. M:-0.0104 c.
FIT/HARMONIC
1 x x x x x x x x x x x 2 S SD: 0.0000 cents 2 x x x x x x 3 x x x x 4 S SD: 1.0710 cents 3 x x x x 4 x x x 5 x x 6 S SD: 0.7140 cents 4 x x x 5 x x 6 x x 7 x 8 S SD: 7.9233 cents 5 x x 6 x x 7 x 8 x 9 x 10 S SD: 7.5795 cents 6 x x 7 x 8 x 9 x 10 x 11:12 S SD: 9.9811 cents 7 x 8 x 9 x 10 x 11:12 x 13:14 S SD: 12.1469 cents 8 x 9 x 10:11 x 12:13 x 14:15:16 S SD: 8.1639 cents 9 x 10:11 x 12:13 x 14:15:16:17:18 S SD: 7.5593 cents 10 x 11:12 x 13:14:15:16:17:18:19:20 S SD: 8.1664 cents 11:12 x 13:14:15:16 x x 18:20:21:22 S SD: 10.4713 cents 12:13 x 14:15:16:17:18:19:20:21:22:24 S SD: 6.8516 cents 13:14:15 x 16:17:19 x 21:22:23:24:26 SD: 8.7138 cents 14:15:16:17 x 19:20:21:22:23:25:26:28 SD: 5.8492 cents 15:16:17:18:19:20:21:22:24:25:27:28:30 SD: 5.0978 cents 16:17:18:19:20:21:23:24:26:27:29:30:32 SD: 4.8824 cents 18:19:20:22 x 24:26:27:29:30:32:34:36 SD: 4.6712 cents 23:25:26:28:29:31:33:34:37:38:41:43:46 SD: 4.5988 cents 24:26:27:29:30:32:34:36:38:40:43:45:48 SD: 3.0872 cents 30:32:34:36:37:40:43:45:48:50:53:56:60 SD: 2.7116 cents 32:34:36:38:40:43:46:48:51:53:57:60:64 SD: 2.5942 cents 33:35:37:40:41:44:47:49:53:55:59:62:66 SD: 2.5611 cents 40:43:45:48:50:53:57:60:64:67:71:75:80 SD: 1.7411 cents 56:60:63:67:70:75:80:84:90:93:100:105:112 SD: 1.1728 cents 60:64:67:72:75:80:86:90:96:100:107:112:120 SD: 1.0964 cents 75:80:84:90:94:100:107:112:120:125:134:140:150 SD: 1.0125 cents 84:90:94:101:105:112:120:126:135:140:150:157:168 SD: 0.8628 cents 96:103:108:115:120:128:137:144:154:160:171:180:192 SD: 0.8341 cents 100:107:112:120:125:133:143:150:160:167:178:187:200 SD: 0.8095 cents 101:108:113:121:126:135:144:151:162:168:180:189:202 SD: 0.7295 cents 105:112:118:126:131:140:150:157:168:175:187:196:210 SD: 0.6509 cents 114:122:128:137:142:152:163:171:183:190:203:213:228 SD: 0.6435 cents 116:124:130:139:145:155:166:174:186:193:207:217:232 SD: 0.6374 cents 129:138:145:155:161:172:184:193:207:215:230:241:258 SD: 0.5169 cents 156:167:175:187:195:208:223:234:250:260:278:292:312 SD: 0.4511 cents 161:172:181:193:201:215:230:241:258:268:287:301:322 SD: 0.4166 cents 185:198:208:222:231:247:264:277:296:308:330:346:370 SD: 0.4156 cents 189:202:212:227:236:252:270:283:303:315:337:353:378 SD: 0.3658 cents 229:245:257:275:286:306:327:343:367:382:408:428:458 SD: 0.2704 cents 271:290:304:325:338:362:387:406:434:452:483:507:542 SD: 0.2612 cents 301:322:338:361:376:402:430:451:482:502:536:563:602 SD: 0.2593 cents 319:341:358:383:398:426:455:478:511:532:569:597:638 SD: 0.2537 cents 334:357:375:401:417:446:477:500:535:557:595:625:668 SD: 0.2173 cents 375:401:421:450:468:501:535:562:601:625:668:701:750 SD: 0.2069 cents 386:413:433:463:482:515:551:578:618:643:688:722:772 SD: 0.2026 cents 391:418:439:469:488:522:558:586:626:652:697:731:782 SD: 0.1853 cents 435:465:488:522:543:581:621:652:697:725:775:814:870 SD: 0.1494 cents 450:481:505:540:562:601:642:674:721:750:802:842:900 SD: 0.1479 cents 510:545:572:612:637:681:728:764:817:850:909:954:1020 SD: 0.1466 cents 531:568:596:637:663:709:758:796:851:885:946:993:1062 SD: 0.1431 cents 540:577:606:648:674:721:771:809:865:900:962:1010:1080 SD: 0.1312 cents 564:603:633:677:704:753:805:845:904:940:1005:1055:1128 SD: 0.1027 cents