User:BudjarnLambeth/The intervals I see as important: Difference between revisions
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! style="background:#fff0c8;" | 13/3<br/><small>lg tri neu 2nd^</small> | ! style="background:#fff0c8;" | 13/3<br/><small>lg tri neu 2nd^</small> | ||
|- | |- | ||
| '''[[1edo]]''' | |||
| ''' | |||
| style="background:#ffffff;" |0 | | style="background:#ffffff;" |0 | ||
| style="background:#90EE90;" | 0.0¢ ✓✓ | | style="background:#90EE90;" | 0.0¢ ✓✓ | ||
| Line 100: | Line 99: | ||
| style="background:#FF9999;" | 139.0¢ ✗ | | style="background:#FF9999;" | 139.0¢ ✗ | ||
|- | |- | ||
| ''' | | '''[[2edo]]''' | ||
| style="background:#ffffff;" |0 | | style="background:#ffffff;" |0 | ||
| style="background:#90EE90;" | 0.0¢ ✓✓ | | style="background:#90EE90;" | 0.0¢ ✓✓ | ||
| Line 119: | Line 118: | ||
| style="background:#FF9999;" | 139.0¢ ✗ | | style="background:#FF9999;" | 139.0¢ ✗ | ||
|- | |- | ||
| ''' | | '''[[3edo]]''' | ||
| style="background:#ffe6e6;" |1 | | style="background:#ffe6e6;" |1 | ||
| style="background:#90EE90;" | 0.0¢ ✓✓ | | style="background:#90EE90;" | 0.0¢ ✓✓ | ||
| Line 138: | Line 137: | ||
| style="background:#FF9999;" | 139.0¢ ✗ | | style="background:#FF9999;" | 139.0¢ ✗ | ||
|- | |- | ||
| ''' | | '''[[4edo]]''' | ||
| style="background:#ffffff;" |0 | | style="background:#ffffff;" |0 | ||
| style="background:#90EE90;" | 0.0¢ ✓✓ | | style="background:#90EE90;" | 0.0¢ ✓✓ | ||
| Line 157: | Line 156: | ||
| style="background:#FF9999;" | 161.0¢ ✗ | | style="background:#FF9999;" | 161.0¢ ✗ | ||
|- | |- | ||
| ''' | | '''[[5edo]]''' | ||
| style="background:#ffe6e6;" |1 | | style="background:#ffe6e6;" |1 | ||
| style="background:#90EE90;" | 0.0¢ ✓✓ | | style="background:#90EE90;" | 0.0¢ ✓✓ | ||
| Line 176: | Line 175: | ||
| style="background:#FF9999;" | 101.0¢ ✗ | | style="background:#FF9999;" | 101.0¢ ✗ | ||
|- | |- | ||
| ''' | | '''[[6edo]]''' | ||
| style="background:#ffe6e6;" |1 | | style="background:#ffe6e6;" |1 | ||
| style="background:#90EE90;" | 0.0¢ ✓✓ | | style="background:#90EE90;" | 0.0¢ ✓✓ | ||
| Line 195: | Line 194: | ||
| style="background:#FF9999;" | 138.5¢ ✗ | | style="background:#FF9999;" | 138.5¢ ✗ | ||
|- | |- | ||
| ''' | | '''[[7edo]]''' | ||
| style="background:#ffe6e6;" |1 | | style="background:#ffe6e6;" |1 | ||
| style="background:#90EE90;" | 0.0¢ ✓✓ | | style="background:#90EE90;" | 0.0¢ ✓✓ | ||
| Line 214: | Line 213: | ||
| style="background:#FF9999;" | 32.8¢ ✗ | | style="background:#FF9999;" | 32.8¢ ✗ | ||
|- | |- | ||
| ''' | | '''[[8edo]]''' | ||
| style="background:# | | style="background:#f5d0d0;" |3 | ||
| style="background:#90EE90;" | 0.0¢ ✓✓ | | style="background:#90EE90;" | 0.0¢ ✓✓ | ||
| style="background:#FF9999;" | 48.0¢ ✗ | | style="background:#FF9999;" | 48.0¢ ✗ | ||
| Line 233: | Line 232: | ||
| style="background:#90EE90;" | 11.5¢ ✓✓ | | style="background:#90EE90;" | 11.5¢ ✓✓ | ||
|- | |- | ||
| ''' | | '''[[9edo]]''' | ||
| style="background:# | | style="background:#f5d0d0;" |3 | ||
| style="background:#90EE90;" | 0.0¢ ✓✓ | | style="background:#90EE90;" | 0.0¢ ✓✓ | ||
| style="background:#FF9999;" | 35.3¢ ✗ | | style="background:#FF9999;" | 35.3¢ ✗ | ||
| Line 252: | Line 251: | ||
| style="background:#90EE90;" | 5.2¢ ✓✓ | | style="background:#90EE90;" | 5.2¢ ✓✓ | ||
|- | |- | ||
| ''' | | '''[[10edo]]''' | ||
| style="background:# | | style="background:#f5d0d0;" |3 | ||
| style="background:#90EE90;" | 0.0¢ ✓✓ | | style="background:#90EE90;" | 0.0¢ ✓✓ | ||
| style="background:#FF9999;" | 18.0¢ ✗ | | style="background:#FF9999;" | 18.0¢ ✗ | ||
| Line 271: | Line 270: | ||
| style="background:#90EE90;" | 18.5¢ ✓✓ | | style="background:#90EE90;" | 18.5¢ ✓✓ | ||
|- | |- | ||
| ''' | | '''[[11edo]]''' | ||
| style="background:# | | style="background:#eaabab;" |6 | ||
| style="background:#90EE90;" | 0.0¢ ✓✓ | | style="background:#90EE90;" | 0.0¢ ✓✓ | ||
| style="background:#FF9999;" | 47.4¢ ✗ | | style="background:#FF9999;" | 47.4¢ ✗ | ||
| Line 290: | Line 289: | ||
| style="background:#FF9999;" | 79.6¢ ✗ | | style="background:#FF9999;" | 79.6¢ ✗ | ||
|- | |- | ||
| ''' | | '''[[12edo]]''' | ||
| style="background:# | | style="background:#f5d0d0;" |3 | ||
| style="background:#90EE90;" | 0.0¢ ✓✓ | | style="background:#90EE90;" | 0.0¢ ✓✓ | ||
| style="background:#90EE90;" | 2.0¢ ✓✓ | | style="background:#90EE90;" | 2.0¢ ✓✓ | ||
| Line 309: | Line 308: | ||
| style="background:#FF9999;" | 38.5¢ ✗ | | style="background:#FF9999;" | 38.5¢ ✗ | ||
|- | |- | ||
| ''' | | '''[[13edo]]''' | ||
| style="background:# | | style="background:#eaabab;" |6 | ||
| style="background:#90EE90;" | 0.0¢ ✓✓ | | style="background:#90EE90;" | 0.0¢ ✓✓ | ||
| style="background:#FF9999;" | 36.5¢ ✗ | | style="background:#FF9999;" | 36.5¢ ✗ | ||
| Line 328: | Line 327: | ||
| style="background:#FF9999;" | 46.3¢ ✗ | | style="background:#FF9999;" | 46.3¢ ✗ | ||
|- | |- | ||
| ''' | | '''[[14edo]]''' | ||
| style="background:# | | style="background:#e09090;" |8 | ||
| style="background:#90EE90;" | 0.0¢ ✓✓ | | style="background:#90EE90;" | 0.0¢ ✓✓ | ||
| style="background:#FF9999;" | 16.2¢ ✗ | | style="background:#FF9999;" | 16.2¢ ✗ | ||
| Line 347: | Line 346: | ||
| style="background:#FF9999;" | 32.8¢ ✗ | | style="background:#FF9999;" | 32.8¢ ✗ | ||
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| ''' | | '''[[15edo]]''' | ||
| style="background:# | | style="background:#f5d0d0;" |3 | ||
| style="background:#90EE90;" | 0.0¢ ✓✓ | | style="background:#90EE90;" | 0.0¢ ✓✓ | ||
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| Line 366: | Line 365: | ||
| style="background:#FFD700;" | 21.5¢ ✓ | | style="background:#FFD700;" | 21.5¢ ✓ | ||
|- | |- | ||
| ''' | | '''[[16edo]]''' | ||
| style="background:# | | style="background:#e8b8b8;" |5 | ||
| style="background:#90EE90;" | 0.0¢ ✓✓ | | style="background:#90EE90;" | 0.0¢ ✓✓ | ||
| style="background:#FF9999;" | 27.0¢ ✗ | | style="background:#FF9999;" | 27.0¢ ✗ | ||
| Line 385: | Line 384: | ||
| style="background:#90EE90;" | 11.5¢ ✓✓ | | style="background:#90EE90;" | 11.5¢ ✓✓ | ||
|- | |- | ||
| ''' | | '''[[17edo]]''' | ||
| style="background:# | | style="background:#eaabab;" |6 | ||
| style="background:#90EE90;" | 0.0¢ ✓✓ | | style="background:#90EE90;" | 0.0¢ ✓✓ | ||
| style="background:#90EE90;" | 3.9¢ ✓✓ | | style="background:#90EE90;" | 3.9¢ ✓✓ | ||
| Line 404: | Line 403: | ||
| style="background:#90EE90;" | 2.6¢ ✓✓ | | style="background:#90EE90;" | 2.6¢ ✓✓ | ||
|- | |- | ||
| ''' | | '''[[18edo]]''' | ||
| style="background:# | | style="background:#dda0a0;" |7 | ||
| style="background:#90EE90;" | 0.0¢ ✓✓ | | style="background:#90EE90;" | 0.0¢ ✓✓ | ||
| style="background:#FF9999;" | 31.4¢ ✗ | | style="background:#FF9999;" | 31.4¢ ✗ | ||
| Line 423: | Line 422: | ||
| style="background:#90EE90;" | 5.3¢ ✓✓ | | style="background:#90EE90;" | 5.3¢ ✓✓ | ||
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| ''' | | '''[[19edo]]''' | ||
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| style="background:#90EE90;" | 0.0¢ ✓✓ | | style="background:#90EE90;" | 0.0¢ ✓✓ | ||
| style="background:#FFD700;" | 7.2¢ ✓ | | style="background:#FFD700;" | 7.2¢ ✓ | ||
| Line 442: | Line 441: | ||
| style="background:#90EE90;" | 12.3¢ ✓✓ | | style="background:#90EE90;" | 12.3¢ ✓✓ | ||
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| ''' | | '''[[20edo]]''' | ||
| style="background:# | | style="background:#d47878;" |10 | ||
| style="background:#90EE90;" | 0.0¢ ✓✓ | | style="background:#90EE90;" | 0.0¢ ✓✓ | ||
| style="background:#FF9999;" | 18.0¢ ✗ | | style="background:#FF9999;" | 18.0¢ ✗ | ||
| Line 461: | Line 460: | ||
| style="background:#90EE90;" | 18.5¢ ✓✓ | | style="background:#90EE90;" | 18.5¢ ✓✓ | ||
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| ''' | | '''[[21edo]]''' | ||
| style="background:# | | style="background:#d47878;" |10 | ||
| style="background:#90EE90;" | 0.0¢ ✓✓ | | style="background:#90EE90;" | 0.0¢ ✓✓ | ||
| style="background:#FF9999;" | 16.2¢ ✗ | | style="background:#FF9999;" | 16.2¢ ✗ | ||
| Line 480: | Line 479: | ||
| style="background:#FF9999;" | 32.8¢ ✗ | | style="background:#FF9999;" | 32.8¢ ✗ | ||
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| ''' | | '''[[22edo]]''' | ||
| style="background:# | | style="background:#eaabab;" |6 | ||
| style="background:#90EE90;" | 0.0¢ ✓✓ | | style="background:#90EE90;" | 0.0¢ ✓✓ | ||
| style="background:#FFD700;" | 7.1¢ ✓ | | style="background:#FFD700;" | 7.1¢ ✓ | ||
| Line 499: | Line 498: | ||
| style="background:#FFD700;" | 29.4¢ ✓ | | style="background:#FFD700;" | 29.4¢ ✓ | ||
|- | |- | ||
| ''' | | '''[[23edo]]''' | ||
| style="background:# | | style="background:#c45050;" |14 | ||
| style="background:#90EE90;" | 0.0¢ ✓✓ | | style="background:#90EE90;" | 0.0¢ ✓✓ | ||
| style="background:#FF9999;" | 23.7¢ ✗ | | style="background:#FF9999;" | 23.7¢ ✗ | ||
| Line 518: | Line 517: | ||
| style="background:#90EE90;" | 18.0¢ ✓✓ | | style="background:#90EE90;" | 18.0¢ ✓✓ | ||
|- | |- | ||
| ''' | | '''[[24edo]]''' | ||
| style="background:# | | style="background:#db8888;" |9 | ||
| style="background:#90EE90;" | 0.0¢ ✓✓ | | style="background:#90EE90;" | 0.0¢ ✓✓ | ||
| style="background:#90EE90;" | 2.0¢ ✓✓ | | style="background:#90EE90;" | 2.0¢ ✓✓ | ||
| Line 537: | Line 536: | ||
| style="background:#90EE90;" | 11.5¢ ✓✓ | | style="background:#90EE90;" | 11.5¢ ✓✓ | ||
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| ''' | | '''[[25edo]]''' | ||
| style="background:# | | style="background:#c75e5e;" |13 | ||
| style="background:#90EE90;" | 0.0¢ ✓✓ | | style="background:#90EE90;" | 0.0¢ ✓✓ | ||
| style="background:#FF9999;" | 18.0¢ ✗ | | style="background:#FF9999;" | 18.0¢ ✗ | ||
| Line 556: | Line 555: | ||
| style="background:#90EE90;" | 5.5¢ ✓✓ | | style="background:#90EE90;" | 5.5¢ ✓✓ | ||
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| ''' | | '''[[26edo]]''' | ||
| style="background:# | | style="background:#d47878;" |10 | ||
| style="background:#90EE90;" | 0.0¢ ✓✓ | | style="background:#90EE90;" | 0.0¢ ✓✓ | ||
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| Line 575: | Line 574: | ||
| style="background:#90EE90;" | 0.2¢ ✓✓ | | style="background:#90EE90;" | 0.2¢ ✓✓ | ||
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| ''' | | '''[[27edo]]''' | ||
| style="background:# | | style="background:#cf6868;" |11 | ||
| style="background:#90EE90;" | 0.0¢ ✓✓ | | style="background:#90EE90;" | 0.0¢ ✓✓ | ||
| style="background:#FFD700;" | 9.2¢ ✓ | | style="background:#FFD700;" | 9.2¢ ✓ | ||
| Line 594: | Line 593: | ||
| style="background:#90EE90;" | 5.3¢ ✓✓ | | style="background:#90EE90;" | 5.3¢ ✓✓ | ||
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| ''' | | '''[[28edo]]''' | ||
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| style="background:#90EE90;" | 0.0¢ ✓✓ | | style="background:#90EE90;" | 0.0¢ ✓✓ | ||
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| Line 613: | Line 612: | ||
| style="background:#FF9999;" | 32.8¢ ✗ | | style="background:#FF9999;" | 32.8¢ ✗ | ||
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| ''' | | '''[[29edo]]''' | ||
| style="background:# | | style="background:#c75e5e;" |13 | ||
| style="background:#90EE90;" | 0.0¢ ✓✓ | | style="background:#90EE90;" | 0.0¢ ✓✓ | ||
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| Line 632: | Line 631: | ||
| style="background:#90EE90;" | 14.4¢ ✓✓ | | style="background:#90EE90;" | 14.4¢ ✓✓ | ||
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| ''' | | '''[[30edo]]''' | ||
| style="background:# | | style="background:#b53030;" |17 | ||
| style="background:#90EE90;" | 0.0¢ ✓✓ | | style="background:#90EE90;" | 0.0¢ ✓✓ | ||
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| style="background:#90EE90;" | 18.5¢ ✓✓ | | style="background:#90EE90;" | 18.5¢ ✓✓ | ||
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| ''' | | '''[[31edo]]''' | ||
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| style="background:#90EE90;" | 0.0¢ ✓✓ | | style="background:#90EE90;" | 0.0¢ ✓✓ | ||
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| style="background:#90EE90;" | 16.3¢ ✓✓ | | style="background:#90EE90;" | 16.3¢ ✓✓ | ||
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| ''' | | '''[[32edo]]''' | ||
| style="background:# | | style="background:#b02828;" |18 | ||
| style="background:#90EE90;" | 0.0¢ ✓✓ | | style="background:#90EE90;" | 0.0¢ ✓✓ | ||
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| style="background:#FFD700;" | 26.0¢ ✓ | | style="background:#FFD700;" | 26.0¢ ✓ | ||
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| ''' | | '''[[33edo]]''' | ||
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| style="background:#90EE90;" | 0.0¢ ✓✓ | | style="background:#90EE90;" | 0.0¢ ✓✓ | ||
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| style="background:#90EE90;" | 6.8¢ ✓✓ | | style="background:#90EE90;" | 6.8¢ ✓✓ | ||
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| ''' | | '''[[34edo]]''' | ||
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| style="background:#90EE90;" | 2.6¢ ✓✓ | | style="background:#90EE90;" | 2.6¢ ✓✓ | ||
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| ''' | | '''[[35edo]]''' | ||
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| style="background:#90EE90;" | 0.0¢ ✓✓ | | style="background:#90EE90;" | 0.0¢ ✓✓ | ||
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| style="background:#FF9999;" | 32.8¢ ✗ | | style="background:#FF9999;" | 32.8¢ ✗ | ||
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| ''' | | '''[[36edo]]''' | ||
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| style="background:#90EE90;" | 0.0¢ ✓✓ | | style="background:#90EE90;" | 0.0¢ ✓✓ | ||
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| style="background:#90EE90;" | 5.2¢ ✓✓ | | style="background:#90EE90;" | 5.2¢ ✓✓ | ||
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| ''' | | '''[[37edo]]''' | ||
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| ''' | | '''[[38edo]]''' | ||
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| ''' | | '''[[39edo]]''' | ||
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| ''' | | '''[[40edo]]''' | ||
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| ''' | | '''[[41edo]]''' | ||
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| style="background:#90EE90;" | 7.8¢ ✓✓ | | style="background:#90EE90;" | 7.8¢ ✓✓ | ||
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| ''' | | '''[[42edo]]''' | ||
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| ''' | | '''[[43edo]]''' | ||
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| style="background:#90EE90;" | 1.0¢ ✓✓ | | style="background:#90EE90;" | 1.0¢ ✓✓ | ||
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| ''' | | '''[[44edo]]''' | ||
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| ''' | | '''[[45edo]]''' | ||
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| Line 936: | Line 935: | ||
| style="background:#FFD700;" | 21.4¢ ✓ | | style="background:#FFD700;" | 21.4¢ ✓ | ||
|- | |- | ||
| ''' | | '''[[46edo]]''' | ||
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| style="background:#90EE90;" | 8.1¢ ✓✓ | | style="background:#90EE90;" | 8.1¢ ✓✓ | ||
|- | |- | ||
| ''' | | '''[[47edo]]''' | ||
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| style="background:#90EE90;" | 14.6¢ ✓✓ | | style="background:#90EE90;" | 14.6¢ ✓✓ | ||
|- | |- | ||
| ''' | | '''[[48edo]]''' | ||
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| Line 993: | Line 992: | ||
| style="background:#90EE90;" | 11.5¢ ✓✓ | | style="background:#90EE90;" | 11.5¢ ✓✓ | ||
|- | |- | ||
| ''' | | '''[[49edo]]''' | ||
| style="background:# | | style="background:#300000;" |33 | ||
| style="background:#90EE90;" | 0.0¢ ✓✓ | | style="background:#90EE90;" | 0.0¢ ✓✓ | ||
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| ''' | | '''[[50edo]]''' | ||
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All the columns N/1 (eg 2/1, 3/1) are already correct. For the other columns, some cells are correct and some not. What you need to do is subtract the error (in cents (¢)) of the two harmonics involved, but don't disregard their direction. For example if harmonic 5 has +10¢ error and harmonic 3 has -9¢ error, then the total error of interval 5/3 is 19¢ (opposite errors add). If harmonic 5 has +10¢ error and harmonic 3 has +9¢ error, then the total error of interval 5/3 is 1¢ (same-direction errors subtract).</pre> | All the columns N/1 (eg 2/1, 3/1) are already correct. For the other columns, some cells are correct and some not. What you need to do is subtract the error (in cents (¢)) of the two harmonics involved, but don't disregard their direction. For example if harmonic 5 has +10¢ error and harmonic 3 has -9¢ error, then the total error of interval 5/3 is 19¢ (opposite errors add). If harmonic 5 has +10¢ error and harmonic 3 has +9¢ error, then the total error of interval 5/3 is 1¢ (same-direction errors subtract).</pre> | ||
(I added the "number of dissonance" column manually.) | (I added the "number of dissonance" column manually, then coloured it using Claude.) | ||
== See also == | == See also == | ||