118edo: Difference between revisions
→Intervals: complete the table |
→Intervals: +cents and diatonic marks |
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Line 27: | Line 27: | ||
== Intervals == | == Intervals == | ||
{| class="wikitable collapsible mw-collapsible mw-collapsed" | {| class="wikitable collapsible mw-collapsible mw-collapsed center-1 right-2 center-3" | ||
|+ style=white-space:nowrap | Table of intervals in 118edo | |+ style=white-space:nowrap | Table of intervals in 118edo | ||
! Step | ! Step | ||
! Cents | |||
! Marks | |||
! Eliora's Naming System | ! Eliora's Naming System | ||
! Eliora's Chemical Notation<br>(if base note = 0) | ! Eliora's Chemical Notation<br>(if base note = 0) | ||
! Approximate Ratios | ! Approximate Ratios * | ||
|- | |- | ||
| 0 | | 0 | ||
| 0.00 | |||
| P1 | |||
| unison | | unison | ||
| oganesson / neutronium | | oganesson / neutronium | ||
Line 40: | Line 44: | ||
|- | |- | ||
| 1 | | 1 | ||
| 10.17 | |||
| | |||
| semicomma | | semicomma | ||
| hydrogen | | hydrogen | ||
Line 45: | Line 51: | ||
|- | |- | ||
| 2 | | 2 | ||
| 20.34 | |||
| | |||
| comma | | comma | ||
| helium | | helium | ||
Line 50: | Line 58: | ||
|- | |- | ||
| 3 | | 3 | ||
| 30.51 | |||
| | |||
| | | | ||
| | | | ||
Line 55: | Line 65: | ||
|- | |- | ||
| 4 | | 4 | ||
| 40.68 | |||
| | |||
| | | | ||
| | | | ||
Line 60: | Line 72: | ||
|- | |- | ||
| 5 | | 5 | ||
| 50.85 | |||
| | |||
| | | | ||
| | | | ||
Line 65: | Line 79: | ||
|- | |- | ||
| 6 | | 6 | ||
| 61.02 | |||
| | |||
| | | | ||
| | | | ||
Line 70: | Line 86: | ||
|- | |- | ||
| 7 | | 7 | ||
| 71.19 | |||
| | |||
| | | | ||
| | | | ||
Line 75: | Line 93: | ||
|- | |- | ||
| 8 | | 8 | ||
| 81.36 | |||
| | |||
| | | | ||
| | | | ||
Line 80: | Line 100: | ||
|- | |- | ||
| 9 | | 9 | ||
| 91.53 | |||
| m2 | |||
| limma, dayavati | | limma, dayavati | ||
| fluorine | | fluorine | ||
Line 85: | Line 107: | ||
|- | |- | ||
| 10 | | 10 | ||
| 101.69 | |||
| | |||
| dodecaic semitone | | dodecaic semitone | ||
| neon | | neon | ||
Line 90: | Line 114: | ||
|- | |- | ||
| 11 | | 11 | ||
| 111.86 | |||
| | |||
| apotome, ranjani | | apotome, ranjani | ||
| sodium | | sodium | ||
Line 95: | Line 121: | ||
|- | |- | ||
| 12 | | 12 | ||
| 122.03 | |||
| | |||
| | | | ||
| | | | ||
Line 100: | Line 128: | ||
|- | |- | ||
| 13 | | 13 | ||
| 132.20 | |||
| | |||
| | | | ||
| | | | ||
Line 105: | Line 135: | ||
|- | |- | ||
| 14 | | 14 | ||
| 142.37 | |||
| | |||
| | | | ||
| | | | ||
Line 110: | Line 142: | ||
|- | |- | ||
| 15 | | 15 | ||
| 152.54 | |||
| | |||
| | | | ||
| | | | ||
Line 115: | Line 149: | ||
|- | |- | ||
| 16 | | 16 | ||
| 162.71 | |||
| | |||
| | | | ||
| | | | ||
Line 120: | Line 156: | ||
|- | |- | ||
| 17 | | 17 | ||
| 172.88 | |||
| | |||
| | | | ||
| | | | ||
| [[21/19]] | | [[21/19]] | ||
|- | |- | ||
| 18 | | 18 | ||
| 183.05 | |||
| | |||
| diminished tone, ratika | | diminished tone, ratika | ||
| argon | | argon | ||
Line 131: | Line 170: | ||
|- | |- | ||
| 19 | | 19 | ||
| 193.22 | |||
| | |||
| minor tone | | minor tone | ||
| potassium | | potassium | ||
Line 136: | Line 177: | ||
|- | |- | ||
| 20 | | 20 | ||
| 203.39 | |||
| M2 | |||
| major tone, raudri | | major tone, raudri | ||
| calcium | | calcium | ||
Line 141: | Line 184: | ||
|- | |- | ||
| 21 | | 21 | ||
| 213.56 | |||
| | |||
| | | | ||
| | | | ||
Line 146: | Line 191: | ||
|- | |- | ||
| 22 | | 22 | ||
| 223.73 | |||
| | |||
| | | | ||
| | | | ||
Line 151: | Line 198: | ||
|- | |- | ||
| 23 | | 23 | ||
| 233.90 | |||
| | |||
| septimal second, slendric 2 | | septimal second, slendric 2 | ||
| vanadium | | vanadium | ||
Line 156: | Line 205: | ||
|- | |- | ||
| 24 | | 24 | ||
| 244.07 | |||
| | |||
| | | | ||
| | | | ||
Line 161: | Line 212: | ||
|- | |- | ||
| 25 | | 25 | ||
| 254.24 | |||
| | |||
| | | | ||
| | | | ||
Line 166: | Line 219: | ||
|- | |- | ||
| 26 | | 26 | ||
| 260.41 | |||
| | |||
| septimal third | | septimal third | ||
| iron | | iron | ||
Line 171: | Line 226: | ||
|- | |- | ||
| 27 | | 27 | ||
| 274.58 | |||
| | |||
| | | | ||
| | | | ||
Line 176: | Line 233: | ||
|- | |- | ||
| 28 | | 28 | ||
| 284.75 | |||
| | |||
| | | | ||
| | | | ||
Line 181: | Line 240: | ||
|- | |- | ||
| 29 | | 29 | ||
| 294.92 | |||
| m3 | |||
| Pythagorean minor 3rd, krodha | | Pythagorean minor 3rd, krodha | ||
| copper | | copper | ||
Line 186: | Line 247: | ||
|- | |- | ||
| 30 | | 30 | ||
| 305.08 | |||
| | |||
| | | | ||
| | | | ||
Line 191: | Line 254: | ||
|- | |- | ||
| 31 | | 31 | ||
| 315.25 | |||
| | |||
| Classical minor 3rd, vajrika | | Classical minor 3rd, vajrika | ||
| gallium | | gallium | ||
Line 196: | Line 261: | ||
|- | |- | ||
| 32 | | 32 | ||
| 325.42 | |||
| | |||
| | | | ||
| | | | ||
Line 201: | Line 268: | ||
|- | |- | ||
| 33 | | 33 | ||
| 335.59 | |||
| | |||
| Lesser tridecimal third | | Lesser tridecimal third | ||
| germanium | | germanium | ||
Line 206: | Line 275: | ||
|- | |- | ||
| 34 | | 34 | ||
| 345.76 | |||
| | |||
| Minor-neutral third | | Minor-neutral third | ||
| selenium | | selenium | ||
Line 211: | Line 282: | ||
|- | |- | ||
| 35 | | 35 | ||
| 355.93 | |||
| | |||
| Minor tridecimal neurtral third, "major-neutral" third | | Minor tridecimal neurtral third, "major-neutral" third | ||
| bromine | | bromine | ||
Line 216: | Line 289: | ||
|- | |- | ||
| 36 | | 36 | ||
| 366.10 | |||
| | |||
| Golden ratio 3rd, major-tridecimal neutral third | | Golden ratio 3rd, major-tridecimal neutral third | ||
| krypton | | krypton | ||
Line 221: | Line 296: | ||
|- | |- | ||
| 37 | | 37 | ||
| 376.27 | |||
| | |||
| | | | ||
| | | | ||
Line 226: | Line 303: | ||
|- | |- | ||
| 38 | | 38 | ||
| 386.44 | |||
| | |||
| Classical major 3rd, prasarini | | Classical major 3rd, prasarini | ||
| strontium | | strontium | ||
Line 231: | Line 310: | ||
|- | |- | ||
| 39 | | 39 | ||
| 396.61 | |||
| | |||
| | | | ||
| | | | ||
Line 236: | Line 317: | ||
|- | |- | ||
| 40 | | 40 | ||
| 406.78 | |||
| M3 | |||
| Pythagorean major 3rd | | Pythagorean major 3rd | ||
| zirconium | | zirconium | ||
Line 241: | Line 324: | ||
|- | |- | ||
| 41 | | 41 | ||
| 416.95 | |||
| | |||
| | | | ||
| | | | ||
Line 246: | Line 331: | ||
|- | |- | ||
| 42 | | 42 | ||
| 427.12 | |||
| | |||
| | | | ||
| | | | ||
Line 251: | Line 338: | ||
|- | |- | ||
| 43 | | 43 | ||
| 437.29 | |||
| | |||
| | | | ||
| | | | ||
Line 256: | Line 345: | ||
|- | |- | ||
| 44 | | 44 | ||
| 447.46 | |||
| | |||
| | | | ||
| | | | ||
Line 261: | Line 352: | ||
|- | |- | ||
| 45 | | 45 | ||
| 457.63 | |||
| | |||
| Barbados 3rd | | Barbados 3rd | ||
| rhodium | | rhodium | ||
Line 266: | Line 359: | ||
|- | |- | ||
| 46 | | 46 | ||
| 467.80 | |||
| | |||
| Slendric 3 | | Slendric 3 | ||
| palladium | | palladium | ||
Line 271: | Line 366: | ||
|- | |- | ||
| 47 | | 47 | ||
| 477.97 | |||
| | |||
| | | | ||
| | | | ||
Line 276: | Line 373: | ||
|- | |- | ||
| 48 | | 48 | ||
| 488.14 | |||
| | |||
| | | | ||
| | | | ||
Line 281: | Line 380: | ||
|- | |- | ||
| 49 | | 49 | ||
| 498.31 | |||
| P4 | |||
| perfect 4th | | perfect 4th | ||
| indium | | indium | ||
Line 286: | Line 387: | ||
|- | |- | ||
| 50 | | 50 | ||
| 508.47 | |||
| | |||
| | | | ||
| | | | ||
Line 291: | Line 394: | ||
|- | |- | ||
| 51 | | 51 | ||
| 518.64 | |||
| | |||
| Kshiti | | Kshiti | ||
| antimony | | antimony | ||
Line 296: | Line 401: | ||
|- | |- | ||
| 52 | | 52 | ||
| 528.81 | |||
| | |||
| | | | ||
| | | | ||
Line 301: | Line 408: | ||
|- | |- | ||
| 53 | | 53 | ||
| 538.98 | |||
| | |||
| | | | ||
| | | | ||
Line 306: | Line 415: | ||
|- | |- | ||
| 54 | | 54 | ||
| 549.15 | |||
| | |||
| | | | ||
| | | | ||
Line 311: | Line 422: | ||
|- | |- | ||
| 55 | | 55 | ||
| 559.32 | |||
| | |||
| | | | ||
| | | | ||
Line 316: | Line 429: | ||
|- | |- | ||
| 56 | | 56 | ||
| 569.49 | |||
| | |||
| | | | ||
| | | | ||
Line 321: | Line 436: | ||
|- | |- | ||
| 57 | | 57 | ||
| 579.66 | |||
| | |||
| | | | ||
| | | | ||
Line 326: | Line 443: | ||
|- | |- | ||
| 58 | | 58 | ||
| 589.83 | |||
| d5 | |||
| Rakta | | Rakta | ||
| cerium | | cerium | ||
Line 331: | Line 450: | ||
|- | |- | ||
| 59 | | 59 | ||
| 600.00 | |||
| | |||
| symmetric tritone | | symmetric tritone | ||
| praseodymium | | praseodymium | ||
Line 336: | Line 457: | ||
|- | |- | ||
| 60 | | 60 | ||
| 610.17 | |||
| A4 | |||
| Literal tritone, sandipani | | Literal tritone, sandipani | ||
| neodymium | | neodymium | ||
Line 341: | Line 464: | ||
|- | |- | ||
| 61 | | 61 | ||
| 620.34 | |||
| | |||
| | | | ||
| | | | ||
Line 346: | Line 471: | ||
|- | |- | ||
| 62 | | 62 | ||
| 630.51 | |||
| | |||
| | | | ||
| | | | ||
Line 351: | Line 478: | ||
|- | |- | ||
| 63 | | 63 | ||
| 640.68 | |||
| | |||
| | | | ||
| | | | ||
Line 356: | Line 485: | ||
|- | |- | ||
| 64 | | 64 | ||
| 650.85 | |||
| | |||
| | | | ||
| | | | ||
Line 361: | Line 492: | ||
|- | |- | ||
| 65 | | 65 | ||
| 661.02 | |||
| | |||
| | | | ||
| | | | ||
Line 366: | Line 499: | ||
|- | |- | ||
| 66 | | 66 | ||
| 671.19 | |||
| | |||
| | | | ||
| | | | ||
Line 371: | Line 506: | ||
|- | |- | ||
| 67 | | 67 | ||
| 681.36 | |||
| | |||
| | | | ||
| | | | ||
Line 376: | Line 513: | ||
|- | |- | ||
| 68 | | 68 | ||
| 691.53 | |||
| | |||
| | | | ||
| | | | ||
Line 381: | Line 520: | ||
|- | |- | ||
| 69 | | 69 | ||
| 701.69 | |||
| P5 | |||
| perfect 5th | | perfect 5th | ||
| thulium | | thulium | ||
Line 386: | Line 527: | ||
|- | |- | ||
| 70 | | 70 | ||
| 711.86 | |||
| | |||
| | | | ||
| | | | ||
Line 391: | Line 534: | ||
|- | |- | ||
| 71 | | 71 | ||
| 722.03 | |||
| | |||
| | | | ||
| | | | ||
Line 396: | Line 541: | ||
|- | |- | ||
| 72 | | 72 | ||
| 732.20 | |||
| | |||
| | | | ||
| | | | ||
Line 401: | Line 548: | ||
|- | |- | ||
| 73 | | 73 | ||
| 742.37 | |||
| | |||
| | | | ||
| | | | ||
Line 406: | Line 555: | ||
|- | |- | ||
| 74 | | 74 | ||
| 752.54 | |||
| | |||
| | | | ||
| | | | ||
Line 411: | Line 562: | ||
|- | |- | ||
| 75 | | 75 | ||
| 762.71 | |||
| | |||
| | | | ||
| | | | ||
Line 416: | Line 569: | ||
|- | |- | ||
| 76 | | 76 | ||
| 772.88 | |||
| | |||
| | | | ||
| | | | ||
Line 421: | Line 576: | ||
|- | |- | ||
| 77 | | 77 | ||
| 783.05 | |||
| | |||
| | | | ||
| | | | ||
Line 426: | Line 583: | ||
|- | |- | ||
| 78 | | 78 | ||
| 793.22 | |||
| m6 | |||
| Pythagorean minor 6th | | Pythagorean minor 6th | ||
| platinum | | platinum | ||
Line 431: | Line 590: | ||
|- | |- | ||
| 79 | | 79 | ||
| 803.39 | |||
| | |||
| | | | ||
| | | | ||
Line 436: | Line 597: | ||
|- | |- | ||
| 80 | | 80 | ||
| 813.56 | |||
| | |||
| Classical minor 6th | | Classical minor 6th | ||
| mercury | | mercury | ||
Line 441: | Line 604: | ||
|- | |- | ||
| 81 | | 81 | ||
| 823.73 | |||
| | |||
| | | | ||
| | | | ||
Line 446: | Line 611: | ||
|- | |- | ||
| 82 | | 82 | ||
| 833.90 | |||
| | |||
| Golden ratio sixth, minor-neutral tridecimal sixth | | Golden ratio sixth, minor-neutral tridecimal sixth | ||
| lead | | lead | ||
Line 451: | Line 618: | ||
|- | |- | ||
| 83 | | 83 | ||
| 844.07 | |||
| | |||
| Major tridecimal neutral sixth, "minor-neutral" sixth | | Major tridecimal neutral sixth, "minor-neutral" sixth | ||
| bismuth | | bismuth | ||
Line 456: | Line 625: | ||
|- | |- | ||
| 84 | | 84 | ||
| 854.24 | |||
| | |||
| Major-neutral sixth | | Major-neutral sixth | ||
| polonium | | polonium | ||
Line 461: | Line 632: | ||
|- | |- | ||
| 85 | | 85 | ||
| 864.41 | |||
| | |||
| | | | ||
| | | | ||
Line 466: | Line 639: | ||
|- | |- | ||
| 86 | | 86 | ||
| 874.58 | |||
| | |||
| | | | ||
| | | | ||
Line 471: | Line 646: | ||
|- | |- | ||
| 87 | | 87 | ||
| 884.75 | |||
| | |||
| Classical major 6th | | Classical major 6th | ||
| francium | | francium | ||
Line 476: | Line 653: | ||
|- | |- | ||
| 88 | | 88 | ||
| 894.92 | |||
| | |||
| | | | ||
| | | | ||
Line 481: | Line 660: | ||
|- | |- | ||
| 89 | | 89 | ||
| 905.08 | |||
| M6 | |||
| Pythagorean major 6th | | Pythagorean major 6th | ||
| actinium | | actinium | ||
Line 486: | Line 667: | ||
|- | |- | ||
| 90 | | 90 | ||
| 915.25 | |||
| | |||
| | | | ||
| | | | ||
Line 491: | Line 674: | ||
|- | |- | ||
| 91 | | 91 | ||
| 925.42 | |||
| | |||
| | | | ||
| | | | ||
Line 496: | Line 681: | ||
|- | |- | ||
| 92 | | 92 | ||
| 935.59 | |||
| | |||
| Septimal supermajor 6th, slendro 5 | | Septimal supermajor 6th, slendro 5 | ||
| uranium | | uranium | ||
Line 501: | Line 688: | ||
|- | |- | ||
| 93 | | 93 | ||
| 945.76 | |||
| | |||
| | | | ||
| | | | ||
Line 506: | Line 695: | ||
|- | |- | ||
| 94 | | 94 | ||
| 955.93 | |||
| | |||
| | | | ||
| | | | ||
Line 511: | Line 702: | ||
|- | |- | ||
| 95 | | 95 | ||
| 966.10 | |||
| | |||
| Harmonic 7th | | Harmonic 7th | ||
| americium | | americium | ||
Line 516: | Line 709: | ||
|- | |- | ||
| 96 | | 96 | ||
| 976.27 | |||
| | |||
| | | | ||
| | | | ||
Line 521: | Line 716: | ||
|- | |- | ||
| 97 | | 97 | ||
| 986.44 | |||
| | |||
| | | | ||
| | | | ||
Line 526: | Line 723: | ||
|- | |- | ||
| 98 | | 98 | ||
| 996.61 | |||
| m7 | |||
| | | | ||
| | | | ||
Line 531: | Line 730: | ||
|- | |- | ||
| 99 | | 99 | ||
| 1006.78 | |||
| | |||
| | | | ||
| | | | ||
Line 536: | Line 737: | ||
|- | |- | ||
| 100 | | 100 | ||
| 1016.95 | |||
| | |||
| Tivra | | Tivra | ||
| fermium | | fermium | ||
Line 541: | Line 744: | ||
|- | |- | ||
| 101 | | 101 | ||
| 1027.12 | |||
| | |||
| | | | ||
| | | | ||
Line 546: | Line 751: | ||
|- | |- | ||
| 102 | | 102 | ||
| 1037.29 | |||
| | |||
| | | | ||
| | | | ||
Line 551: | Line 758: | ||
|- | |- | ||
| 103 | | 103 | ||
| 1047.46 | |||
| | |||
| | | | ||
| | | | ||
Line 556: | Line 765: | ||
|- | |- | ||
| 104 | | 104 | ||
| 1057.63 | |||
| | |||
| | | | ||
| | | | ||
Line 561: | Line 772: | ||
|- | |- | ||
| 105 | | 105 | ||
| 1067.80 | |||
| | |||
| | | | ||
| | | | ||
Line 566: | Line 779: | ||
|- | |- | ||
| 106 | | 106 | ||
| 1077.97 | |||
| | |||
| | | | ||
| | | | ||
Line 571: | Line 786: | ||
|- | |- | ||
| 107 | | 107 | ||
| 1088.14 | |||
| | |||
| | | | ||
| | | | ||
Line 576: | Line 793: | ||
|- | |- | ||
| 108 | | 108 | ||
| 1098.31 | |||
| | |||
| | | | ||
| | | | ||
Line 581: | Line 800: | ||
|- | |- | ||
| 109 | | 109 | ||
| 1108.47 | |||
| M7 | |||
| Pythagorean major 7th | | Pythagorean major 7th | ||
| meitnerium | | meitnerium | ||
Line 586: | Line 807: | ||
|- | |- | ||
| 110 | | 110 | ||
| 1118.64 | |||
| | |||
| | | | ||
| | | | ||
Line 591: | Line 814: | ||
|- | |- | ||
| 111 | | 111 | ||
| 1128.81 | |||
| | |||
| | | | ||
| | | | ||
Line 596: | Line 821: | ||
|- | |- | ||
| 112 | | 112 | ||
| 1138.98 | |||
| | |||
| | | | ||
| | | | ||
Line 601: | Line 828: | ||
|- | |- | ||
| 113 | | 113 | ||
| 1149.15 | |||
| | |||
| | | | ||
| | | | ||
Line 606: | Line 835: | ||
|- | |- | ||
| 114 | | 114 | ||
| 1159.32 | |||
| | |||
| | | | ||
| | | | ||
Line 611: | Line 842: | ||
|- | |- | ||
| 115 | | 115 | ||
| 1169.49 | |||
| | |||
| | | | ||
| | | | ||
Line 616: | Line 849: | ||
|- | |- | ||
| 116 | | 116 | ||
| 1179.66 | |||
| | |||
| Comma 7th | | Comma 7th | ||
| livermorium | | livermorium | ||
Line 621: | Line 856: | ||
|- | |- | ||
| 117 | | 117 | ||
| 1189.83 | |||
| | |||
| Semicomma supermajor 7th | | Semicomma supermajor 7th | ||
| tenessine | | tenessine | ||
Line 626: | Line 863: | ||
|- | |- | ||
| 118 | | 118 | ||
| 1200.00 | |||
| P8 | |||
| perfect 8ve | | perfect 8ve | ||
| oganesson / neutronium | | oganesson / neutronium | ||
| [[2/1]] | | [[2/1]] | ||
|} | |} | ||
<nowiki>*</nowiki> treated as a 2.3.5.7.11.17.19 system | |||
== Notation == | == Notation == |