Scala analysis: vines_ovovo10eb5w6w7_0_D
4:5:6:7 equal beating in 1 of 10 keysigs, an Eronyme temperament
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 137.121 cents 137.120650 2: 238.678 cents 238.678190 3: 375.799 cents 375.798850 4: 480.661 cents 480.660900 5: 617.782 cents 617.781560 6: 719.339 cents 719.339100 7: 856.460 cents 856.459750 8: 961.322 cents 961.321810 9: 1098.442 cents 1098.442460 10: 2/1 1200.000000 octave
SHOW/INTERVAL
0: 101.5575 cents 101.5575 1: 137.1207 cents 137.1207 2: 101.5575 cents 101.5575 3: 137.1207 cents 137.1207 4: 104.8621 cents 104.8621 5: 137.1207 cents 137.1207 6: 101.5575 cents 101.5575 7: 137.1207 cents 137.1207 8: 104.8621 cents 104.8621 9: 137.1207 cents 137.1207 10: 101.5575 cents 101.5575
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 3 101.55754 cents 1: 2 104.86205 cents 1: 5 137.12065 cents 2: 6 238.67819 cents 2: 4 241.98271 cents 3: 1 340.23573 cents 3: 4 343.54025 cents 3: 3 375.79885 cents 3: 2 379.10337 cents 4: 2 477.35638 cents 4: 8 480.66090 cents 5: 4 582.21845 cents 5: 1 585.52296 cents 5: 1 614.47704 cents 5: 4 617.78156 cents 6: 8 719.33910 cents 6: 2 722.64362 cents 7: 2 820.89663 cents 7: 3 824.20116 cents 7: 4 856.45975 cents 7: 1 859.76427 cents 8: 4 958.01729 cents 8: 6 961.32181 cents 9: 5 1062.87935 cents 9: 2 1095.13795 cents 9: 3 1098.44246 cents Highest number of different intervals for one interval class: 4 Average number of different intervals per interval class: 2.88889 = 26/9
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 10 0.0 : 137.1 238.7 375.8 480.7 617.8 719.3 856.5 961.3 1098.4 1200.0 137.1 : 101.6 238.7 343.5 480.7 582.2 719.3 824.2 961.3 1062.9 1200.0 238.7 : 137.1 242.0 379.1 480.7 617.8 722.6 859.8 961.3 1098.4 1200.0 375.8 : 104.9 242.0 343.5 480.7 585.5 722.6 824.2 961.3 1062.9 1200.0 480.7 : 137.1 238.7 375.8 480.7 617.8 719.3 856.5 958.0 1095.1 1200.0 617.8 : 101.6 238.7 343.5 480.7 582.2 719.3 820.9 958.0 1062.9 1200.0 719.3 : 137.1 242.0 379.1 480.7 617.8 719.3 856.5 961.3 1098.4 1200.0 856.5 : 104.9 242.0 343.5 480.7 582.2 719.3 824.2 961.3 1062.9 1200.0 961.3 : 137.1 238.7 375.8 477.4 614.5 719.3 856.5 958.0 1095.1 1200.0 1098.4: 101.6 238.7 340.2 477.4 582.2 719.3 820.9 958.0 1062.9 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 101.5575 .. 137.1207 cents 35.56311 cents 101.55754 cents 2: 238.6782 .. 241.9827 cents 3.30452 cents 101.55754 cents 3: 340.2357 .. 379.1034 cents 38.86764 cents 98.25302 cents 4: 477.3564 .. 480.6609 cents 3.30452 cents 98.25301 cents 5: 582.2184 .. 617.7816 cents 35.56311 cents 101.55755 cents 6: 719.3391 .. 722.6436 cents 3.30452 cents 101.55754 cents 7: 820.8966 .. 859.7643 cents 38.86764 cents 98.25301 cents 8: 958.0173 .. 961.3218 cents 3.30452 cents 98.25302 cents 9: 1062.8793 .. 1098.4425 cents 35.56311 cents 101.55754 cents
SHOW DATA
Number of notes : 10 -- Interval properties -- Smallest interval : 101.55754 cents, class 1 Average step (divided formal octave): 120.0000 cents Largest one step interval : 137.12065 cents Average / Smallest step : 1.181596 Largest / Average step : 1.142672 Largest / Smallest step : 1.350177 Median interval of one step : 120.99135 cents, amount: 0 Most common interval of one step : 137.12065 cents, amount: 5 Least squares average step : 121.14606 cents, oct.: 1211.46064 cents Scale is strictly proper Step pattern alph. order: ABACABACAB Step pattern size order : LSLMLSLMLS Scale is a Constant Structure, by a margin of 98.25301 cents Scale diversity : 1.134575 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.835298 Rothenberg efficiency : 0.526429 redundancy: 0.473571 Efficiency x scale size : 5.264286 Number of different interval sizes : 26 = 2.88889 / class Number of one step interval sizes : 3 Highest interval variety : 4 Mean interval variety : 2.88889 = 26/9 Median interval variety : 2 Lowest interval variety : 2 Smallest interval difference : 3.30451 cents Most common intervals : 480.66090 cents & inv., amount: 8 Most common triad is 0.0 480.661 719.339 cents, amount: 6 Number of recognisable fifths : 8, average 719.3391 cents Number of appreciable fifths : 0 Scale contains two identical conjunct pentachords Best major thirds form a closed circle Best minor thirds form a closed circle Formal octave complements present : 5 = 50.0000% Limited transpositions with margin 35.5631 cents: 2 4 6 8 Limited inverse transpositions : 1 Inversional symmetry on intervals : 0-1 5-6 -- Rational properties -- Prime limit : 2 (not all pitches rational)
FIT/MODE
10: 1 1 1 1 1 1 1 1 1 1 SP B ME I SD: 12.1422 c. M: 18.4425 c. 25: 3 2 3 2 3 2 3 2 3 2 SP B ME SD: 4.9534 c. M:-8.2011 c. Archytas Clan-10 35: 4 3 4 3 4 3 4 3 4 3 SP B ME SD: 0.9348 c. M:-1.3440 c. 192: 22 16 22 17 22 16 22 17 22 16 SP SD: 0.8752 c. M:-1.5575 c. 202: 23 17 23 18 23 17 23 18 23 17 SP SD: 0.8213 c. M: 1.5414 c. 227: 26 19 26 20 26 19 26 20 26 19 SP SD: 0.6056 c. M:-1.1170 c. 237: 27 20 27 21 27 20 27 21 27 20 SP SD: 0.5764 c. M: 1.1153 c. 262: 30 22 30 23 30 22 30 23 30 22 SP SD: 0.4129 c. M:-0.7942 c. 272: 31 23 31 24 31 23 31 24 31 23 SP SD: 0.4018 c. M: 0.7989 c. 297: 34 25 34 26 34 25 34 26 34 25 SP SD: 0.2745 c. M:-0.5474 c. 307: 35 26 35 27 35 26 35 27 35 26 SP SD: 0.2795 c. M: 0.5546 c. 332: 38 28 38 29 38 28 38 29 38 28 SP SD: 0.1840 c. M:-0.3527 c. 367: 42 31 42 32 42 31 42 32 42 31 SP SD: 0.1481 c. M:-0.2229 c. 639: 73 54 73 56 73 54 73 56 73 54 SP SD: 0.1296 c. M: 0.2120 c. 674: 77 57 77 59 77 57 77 59 77 57 SP SD: 0.0753 c. M: 0.1312 c. 709: 81 60 81 62 81 60 81 62 81 60 SP SD: 0.0293 c. M: 0.0584 c. 744: 85 63 85 65 85 63 85 65 85 63 SP SD: 0.0279 c. M: 0.0554 c. 1453: 166 123 166 127 166 123 166 127 166 123 SP SD: 0.0177 c. M: 0.0254 c. 1820: 208 154 208 159 208 154 208 159 208 154 SP SD: 0.0159 c. M:-0.0253 c.
FIT/HARMONIC
1 x x x x x x x x x 2 S SD: 0.0000 cents 2 x x x x x 3 x x x 4 S SD: 8.6920 cents 3 x x x 4 x x 5 x x 6 S SD: 10.9573 cents 4 x x 5 x x 6 x 7 x 8 S SD: 5.4146 cents 5 x x 6 x 7 x 8:9 x 10 S SD: 19.8587 cents 6 x 7 x 8 x 9:10 x 11:12 S SD: 11.2872 cents 7 x 8 x 9:10:11 x 12:13:14 S SD: 12.4800 cents 8 x 9:10 x 11:12:13:14:15:16 S SD: 10.0411 cents 9:10 x 11:12:13:14:15:16:17:18 S SD: 9.6768 cents 10:11 x 12:13:14:15:16:17:19:20 SD: 11.3616 cents 11:12:13:14:15:16:17:18:19:21:22 SD: 10.2280 cents 12:13:14:15:16:17:18:20:21:23:24 SD: 5.7812 cents 16:17:18:20:21:23:24:26:28:30:32 SD: 5.7250 cents 19:21:22:24:25:27:29:31:33:36:38 SD: 5.3024 cents 21:23:24:26:28:30:32:34:37:40:42 SD: 4.5462 cents 25:27:29:31:33:36:38:41:44:47:50 SD: 3.0101 cents 28:30:32:35:37:40:42:46:49:53:56 SD: 2.9820 cents 33:36:38:41:44:47:50:54:58:62:66 SD: 2.8821 cents 34:37:39:42:45:49:52:56:59:64:68 SD: 2.8475 cents 35:38:40:43:46:50:53:57:61:66:70 SD: 2.5811 cents 41:44:47:51:54:59:62:67:71:77:82 SD: 2.4807 cents 45:49:52:56:59:64:68:74:78:85:90 SD: 2.4133 cents 46:50:53:57:61:66:70:75:80:87:92 SD: 2.0625 cents 47:51:54:58:62:67:71:77:82:89:94 SD: 1.6085 cents 61:66:70:76:81:87:92:100:106:115:122 SD: 1.5026 cents 62:67:71:77:82:89:94:102:108:117:124 SD: 1.1526 cents 74:80:85:92:98:106:112:121:129:140:148 SD: 1.0862 cents 75:81:86:93:99:107:114:123:131:141:150 SD: 1.0760 cents 86:93:99:107:114:123:130:141:150:162:172 SD: 1.0682 cents 87:94:100:108:115:124:132:143:152:164:174 SD: 0.9224 cents 95:103:109:118:125:136:144:156:166:179:190 SD: 0.9111 cents 107:116:123:133:141:153:162:175:186:202:214 SD: 0.8299 cents 109:118:125:135:144:156:165:179:190:206:218 SD: 0.7947 cents 121:131:139:150:160:173:183:198:211:228:242 SD: 0.7523 cents 122:132:140:152:161:174:185:200:213:230:244 SD: 0.7003 cents 128:139:147:159:169:183:194:210:223:241:256 SD: 0.6583 cents 144:156:165:179:190:206:218:236:251:272:288 SD: 0.5245 cents 156:169:179:194:206:223:236:256:272:294:312 SD: 0.4166 cents 182:197:209:226:240:260:276:298:317:343:364 SD: 0.4135 cents 194:210:223:241:256:277:294:318:338:366:388 SD: 0.3045 cents 231:250:265:287:305:330:350:379:403:436:462 SD: 0.2829 cents 256:277:294:318:338:366:388:420:446:483:512 SD: 0.1948 cents 350:379:402:435:462:500:530:574:610:660:700 SD: 0.1849 cents 400:433:459:497:528:572:606:656:697:754:800 SD: 0.1812 cents 412:446:473:512:544:589:624:676:718:777:824 SD: 0.1628 cents 413:447:474:513:545:590:626:677:720:779:826 SD: 0.1616 cents 462:500:530:574:610:660:700:758:805:871:924 SD: 0.1508 cents 474:513:544:589:626:677:718:777:826:894:948 SD: 0.1502 cents 520:563:597:646:686:743:788:853:906:981:1040 SD: 0.1361 cents 569:616:653:707:751:813:862:933:991:1073:1138 SD: 0.1024 cents 594:643:682:738:784:849:900:974:1035:1120:1188 SD: 0.0979 cents