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User:BudjarnLambeth/The intervals I see as important: Difference between revisions

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Line 24: Line 24:
13/1 (neu 6th^)
13/1 (neu 6th^)
  8/7 (supmaj 2nd)
  8/7 (supmaj 2nd)
13/3 (large tridec neu 2nd^)


DISSONANCES
DISSONANCES
9/7 (supmaj 3rd)
13/3 (large tridec neu 2nd^)
15/1 (maj 7th^)
15/1 (maj 7th^)
9/7 (supmaj 3rd)
11/5 (large undec neu 2nd)
11/5 (large undec neu 2nd)
10/7 (large tritone)
10/7 (large tritone)
Line 54: Line 54:
Any ''general-purpose'' tuning system should approximate all hyperconsonances within 10 cents or less, all consonances within 20 cents, and all ambisonances within 30 cents. It should also try to have as few notes as possible that do not approximate any of those three categories of interval, because every note that isn't approximating one of them is a wolf interval that adds a 'bitter' taste to the tuning, and a tuning cannot survive very much bitterness.
Any ''general-purpose'' tuning system should approximate all hyperconsonances within 10 cents or less, all consonances within 20 cents, and all ambisonances within 30 cents. It should also try to have as few notes as possible that do not approximate any of those three categories of interval, because every note that isn't approximating one of them is a wolf interval that adds a 'bitter' taste to the tuning, and a tuning cannot survive very much bitterness.


== EDO Consonance Ratings (1–53edo) ==
== Table of EDOs by general-purpose efficacy (1–53edo) ==
 
{{Editable user page|You may correct factual errors in the table e.g. incorrect numbers}}
 
This rates EDOs for ''general'' purposes. It doesn't take into account specialist (but still very valid) use cases like inharmonic timbres, dual-fifths usage, subgroup usage, or taking carefully chosen subsets (eg blackjack). EDOs that look bad on this table might still be very good for one or more of those specialist uses.
 
Table created using Claude (I gave it a PDF of the EDO harmonic tables; my prompt is listed below the table). '''It almost certainly made errors so don't use this as a source for the numbers''' (instead look at the relevant EDO pages directly, they're linked in the left column).


Table created using Claude (I gave it a PDF of the EDO harmonic tables), prompt listed below table.
<nowiki>*</nowiki>''denotes EDOs where an especially high % of their intervals are especially consonant''


{| class="wikitable sortable" style="text-align:center; font-size:80%;"
{| class="wikitable sortable" style="text-align:center; font-size:80%;"
|-
|-
! rowspan=2 | EDO  
! rowspan="2" | EDO  
! rowspan="2" |Est. no. of dissonances!! colspan="2" style="background:#d0e8ff;" | Hyperconsonances !! colspan=6 style="background:#c8f0c8;" | Consonances !! colspan=8 style="background:#fff0c8;" | Ambisonances  
! rowspan="2" |Est. no. of dissonances!! colspan="2" style="background:#d0e8ff;" | Hyperconsonances !! colspan="6" style="background:#c8f0c8;" | Consonances !! colspan="7" style="background:#fff0c8;" | Ambisonances  
|-
|-
! style="background:#d0e8ff;" | 2/1<br/><small>perf oct</small>
! style="background:#d0e8ff;" | 2/1<br /><small>perf oct</small>
! style="background:#d0e8ff;" | 3/1<br/><small>perf 5th^</small>
! style="background:#d0e8ff;" | 3/1<br /><small>perf 5th^</small>
! style="background:#c8f0c8;" | 5/1<br/><small>maj 3rd^</small>
! style="background:#c8f0c8;" | 5/1<br /><small>maj 3rd^</small>
! style="background:#c8f0c8;" | 4/3<br/><small>perf 4th</small>
! style="background:#c8f0c8;" | 4/3<br /><small>perf 4th</small>
! style="background:#c8f0c8;" | 5/3<br/><small>maj 6th</small>
! style="background:#c8f0c8;" | 5/3<br /><small>maj 6th</small>
! style="background:#c8f0c8;" | 7/1<br/><small>submin 7th^</small>
! style="background:#c8f0c8;" | 7/1<br /><small>submin 7th^</small>
! style="background:#c8f0c8;" | 9/1<br/><small>lg maj 2nd^</small>
! style="background:#c8f0c8;" | 9/1<br /><small>lg maj 2nd^</small>
! style="background:#c8f0c8;" | 7/3<br/><small>submin 3rd^</small>
! style="background:#c8f0c8;" | 7/3<br /><small>submin 3rd^</small>
! style="background:#fff0c8;" | 6/5<br/><small>min 3rd</small>
! style="background:#fff0c8;" | 6/5<br /><small>min 3rd</small>
! style="background:#fff0c8;" | 11/1<br/><small>undec 4th^</small>
! style="background:#fff0c8;" | 11/1<br /><small>undec 4th^</small>
! style="background:#fff0c8;" | 7/5<br/><small>sm tritone</small>
! style="background:#fff0c8;" | 7/5<br /><small>sm tritone</small>
! style="background:#fff0c8;" | 9/5<br/><small>min 7th</small>
! style="background:#fff0c8;" | 9/5<br /><small>min 7th</small>
! style="background:#fff0c8;" | 11/3<br/><small>neu 7th^</small>
! style="background:#fff0c8;" | 11/3<br /><small>neu 7th^</small>
! style="background:#fff0c8;" | 13/1<br/><small>neu 6th^</small>
! style="background:#fff0c8;" | 13/1<br /><small>neu 6th^</small>
! style="background:#fff0c8;" | 8/7<br/><small>supmaj 2nd</small>
! style="background:#fff0c8;" | 8/7<br /><small>supmaj 2nd</small>
! style="background:#fff0c8;" | 13/3<br/><small>lg tri neu 2nd^</small>
|-
|-
| '''[[1edo]]'''
 
| style="background:#ffffff;" |0
| [[1edo]]
| style="background:#ffffff;" | 0
| style="background:#90EE90;" | 0.0¢ ✓✓
| style="background:#90EE90;" | 0.0¢ ✓✓
| style="background:#FF9999;" | 498.0¢ ✗
| style="background:#FF9999;" | 498.0¢ ✗
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| style="background:#FF9999;" | 359.0¢ ✗
| style="background:#FF9999;" | 359.0¢ ✗
| style="background:#FF9999;" | 231.0¢ ✗
| style="background:#FF9999;" | 231.0¢ ✗
| style="background:#FF9999;" | 139.0¢ ✗
|-
|-
| '''[[2edo]]'''
| [[2edo]]
| style="background:#ffffff;" |0
| style="background:#ffffff;" | 0
| style="background:#90EE90;" | 0.0¢ ✓✓
| style="background:#90EE90;" | 0.0¢ ✓✓
| style="background:#FF9999;" | 102.0¢ ✗
| style="background:#FF9999;" | 102.0¢ ✗
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| style="background:#FF9999;" | 241.0¢ ✗
| style="background:#FF9999;" | 241.0¢ ✗
| style="background:#FF9999;" | 231.0¢ ✗
| style="background:#FF9999;" | 231.0¢ ✗
| style="background:#FF9999;" | 139.0¢ ✗
|-
|-
| '''[[3edo]]'''
| [[3edo]]
| style="background:#fff3f1;" |1
| style="background:#ffffff;" | 1
| style="background:#90EE90;" | 0.0¢ ✓✓
| style="background:#90EE90;" | 0.0¢ ✓✓
| style="background:#FF9999;" | 98.0¢ ✗
| style="background:#FF9999;" | 98.0¢ ✗
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| style="background:#FF9999;" | 41.0¢ ✗
| style="background:#FF9999;" | 41.0¢ ✗
| style="background:#FF9999;" | 169.0¢ ✗
| style="background:#FF9999;" | 169.0¢ ✗
| style="background:#FF9999;" | 139.0¢ ✗
|-
|-
| '''[[4edo]]'''
| [[4edo]]
| style="background:#ffffff;" |0
| style="background:#ffffff;" | 0
| style="background:#90EE90;" | 0.0¢ ✓✓
| style="background:#90EE90;" | 0.0¢ ✓✓
| style="background:#FF9999;" | 102.0¢ ✗
| style="background:#FF9999;" | 102.0¢ ✗
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| style="background:#FF9999;" | 59.0¢ ✗
| style="background:#FF9999;" | 59.0¢ ✗
| style="background:#FF9999;" | 69.0¢ ✗
| style="background:#FF9999;" | 69.0¢ ✗
| style="background:#FF9999;" | 161.0¢ ✗
|-
|-
| '''[[5edo]]'''
| [[5edo]]
| style="background:#fff3f1;" |1
| style="background:#ffffff;" | 1
| style="background:#90EE90;" | 0.0¢ ✓✓
| style="background:#90EE90;" | 0.0¢ ✓✓
| style="background:#FF9999;" | 18.0¢ ✗
| style="background:#FF9999;" | 18.0¢ ✗
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| style="background:#FF9999;" | 119.0¢ ✗
| style="background:#FF9999;" | 119.0¢ ✗
| style="background:#90EE90;" | 9.0¢ ✓✓
| style="background:#90EE90;" | 9.0¢ ✓✓
| style="background:#FF9999;" | 101.0¢ ✗
|-
|-
| '''[[6edo]]'''
| [[6edo]]
| style="background:#fff3f1;" |1
| style="background:#ffffff;" | 1
| style="background:#90EE90;" | 0.0¢ ✓✓
| style="background:#90EE90;" | 0.0¢ ✓✓
| style="background:#FF9999;" | 98.0¢ ✗
| style="background:#FF9999;" | 98.0¢ ✗
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| style="background:#FF9999;" | 40.5¢ ✗
| style="background:#FF9999;" | 40.5¢ ✗
| style="background:#FF9999;" | 31.2¢ ✗
| style="background:#FF9999;" | 31.2¢ ✗
| style="background:#FF9999;" | 138.5¢ ✗
|-
|-
| '''[[7edo]]'''
| [[7edo]]
| style="background:#fff3f1;" |1
| style="background:#ffffff;" | 1
| style="background:#90EE90;" | 0.0¢ ✓✓
| style="background:#90EE90;" | 0.0¢ ✓✓
| style="background:#FF9999;" | 16.2¢ ✗
| style="background:#FF9999;" | 16.2¢ ✗
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| style="background:#90EE90;" | 16.6¢ ✓✓
| style="background:#90EE90;" | 16.6¢ ✓✓
| style="background:#FF9999;" | 59.7¢ ✗
| style="background:#FF9999;" | 59.7¢ ✗
| style="background:#FF9999;" | 32.8¢ ✗
|-
|-
| '''[[8edo]]'''
| [[8edo]]
| style="background:#ffe9e5;" |3
| style="background:#ffffff;" | 4
| style="background:#90EE90;" | 0.0¢ ✓✓
| style="background:#90EE90;" | 0.0¢ ✓✓
| style="background:#FF9999;" | 48.0¢ ✗
| style="background:#FF9999;" | 48.0¢ ✗
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| style="background:#FF9999;" | 59.5¢ ✗
| style="background:#FF9999;" | 59.5¢ ✗
| style="background:#FF9999;" | 68.8¢ ✗
| style="background:#FF9999;" | 68.8¢ ✗
| style="background:#90EE90;" | 11.5¢ ✓✓
|-
|-
| '''[[9edo]]'''
| [[9edo]]
| style="background:#ffe9e5;" |3
| style="background:#ffffff;" | 4
| style="background:#90EE90;" | 0.0¢ ✓✓
| style="background:#90EE90;" | 0.0¢ ✓✓
| style="background:#FF9999;" | 35.3¢ ✗
| style="background:#FF9999;" | 35.3¢ ✗
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| style="background:#FF9999;" | 40.5¢ ✗
| style="background:#FF9999;" | 40.5¢ ✗
| style="background:#FF9999;" | 35.5¢ ✗
| style="background:#FF9999;" | 35.5¢ ✗
| style="background:#90EE90;" | 5.2¢ ✓✓
|-
|-
| '''[[10edo]]'''
| '''[[10edo]]'''
| style="background:#ffe9e5;" |3
| style="background:#ffffff;" | '''4*'''
| style="background:#90EE90;" | 0.0¢ ✓✓
| style="background:#90EE90;" | '''0.0¢ ✓✓'''
| style="background:#FF9999;" | 18.0¢ ✗
| style="background:#FF9999;" | '''18.0¢ ✗'''
| style="background:#FF9999;" | 26.3¢ ✗
| style="background:#FF9999;" | '''26.3¢ ✗'''
| style="background:#FFD700;" | 18.0¢ ✓
| style="background:#FFD700;" | '''18.0¢ ✓'''
| style="background:#FF9999;" | 44.3¢ ✗
| style="background:#FF9999;" | '''44.3¢ ✗'''
| style="background:#90EE90;" | 8.8¢ ✓✓
| style="background:#90EE90;" | '''8.8¢ ✓✓'''
| style="background:#FF9999;" | 36.1¢ ✗
| style="background:#FF9999;" | '''36.1¢ ✗'''
| style="background:#FF9999;" | 26.8¢ ✗
| style="background:#FF9999;" | '''26.8¢ ✗'''
| style="background:#FF9999;" | 44.3¢ ✗
| style="background:#FF9999;" | '''44.3¢ ✗'''
| style="background:#FF9999;" | 48.7¢ ✗
| style="background:#FF9999;" | '''48.7¢ ✗'''
| style="background:#90EE90;" | 17.5¢ ✓✓
| style="background:#90EE90;" | '''17.5¢ ✓✓'''
| style="background:#FF9999;" | 62.4¢ ✗
| style="background:#FF9999;" | '''62.4¢ ✗'''
| style="background:#FF9999;" | 30.7¢ ✗
| style="background:#FF9999;" | '''30.7¢ ✗'''
| style="background:#90EE90;" | 0.5¢ ✓✓
| style="background:#90EE90;" | '''0.5¢ ✓✓'''
| style="background:#90EE90;" | 8.8¢ ✓✓
| style="background:#90EE90;" | '''8.8¢ ✓✓'''
| style="background:#90EE90;" | 18.5¢ ✓✓
|-
|-
| '''[[11edo]]'''
| [[11edo]]
| style="background:#ffd9d2;" |6
| style="background:#ffe0e0;" | 6
| style="background:#90EE90;" | 0.0¢ ✓✓
| style="background:#90EE90;" | 0.0¢ ✓✓
| style="background:#FF9999;" | 47.4¢ ✗
| style="background:#FF9999;" | 47.4¢ ✗
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| style="background:#FF9999;" | 32.2¢ ✗
| style="background:#FF9999;" | 32.2¢ ✗
| style="background:#90EE90;" | 13.0¢ ✓✓
| style="background:#90EE90;" | 13.0¢ ✓✓
| style="background:#FF9999;" | 79.6¢ ✗
|-
|-
| '''[[12edo]]'''
| '''[[12edo]]'''
| style="background:#ffe9e5;" |3
| style="background:#ffffff;" | '''3*'''
| style="background:#90EE90;" | 0.0¢ ✓✓
| style="background:#90EE90;" | '''0.0¢ ✓✓'''
| style="background:#90EE90;" | 2.0¢ ✓✓
| style="background:#90EE90;" | '''2.0¢ ✓✓'''
| style="background:#FFD700;" | 13.7¢ ✓
| style="background:#FFD700;" | '''13.7¢ ✓'''
| style="background:#90EE90;" | 2.0¢ ✓✓
| style="background:#90EE90;" | '''2.0¢ ✓✓'''
| style="background:#FFD700;" | 15.7¢ ✓
| style="background:#FFD700;" | '''15.7¢ ✓'''
| style="background:#FF9999;" | 31.2¢ ✗
| style="background:#FF9999;" | '''31.2¢ ✗'''
| style="background:#90EE90;" | 3.9¢ ✓✓
| style="background:#90EE90;" | '''3.9¢ ✓✓'''
| style="background:#FF9999;" | 33.2¢ ✗
| style="background:#FF9999;" | '''33.2¢ ✗'''
| style="background:#90EE90;" | 15.7¢ ✓✓
| style="background:#90EE90;" | '''15.7¢ ✓✓'''
| style="background:#FF9999;" | 48.7¢ ✗
| style="background:#FF9999;" | '''48.7¢ ✗'''
| style="background:#90EE90;" | 17.5¢ ✓✓
| style="background:#90EE90;" | '''17.5¢ ✓✓'''
| style="background:#90EE90;" | 17.6¢ ✓✓
| style="background:#90EE90;" | '''17.6¢ ✓✓'''
| style="background:#FF9999;" | 50.7¢ ✗
| style="background:#FF9999;" | '''50.7¢ ✗'''
| style="background:#FF9999;" | 40.5¢ ✗
| style="background:#FF9999;" | '''40.5¢ ✗'''
| style="background:#FF9999;" | 31.2¢ ✗
| style="background:#FF9999;" | '''31.2¢ ✗'''
| style="background:#FF9999;" | 38.5¢ ✗
|-
|-
| '''[[13edo]]'''
| [[13edo]]
| style="background:#ffd9d2;" |6
| style="background:#ffe0e0;" | 6
| style="background:#90EE90;" | 0.0¢ ✓✓
| style="background:#90EE90;" | 0.0¢ ✓✓
| style="background:#FF9999;" | 36.5¢ ✗
| style="background:#FF9999;" | 36.5¢ ✗
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| style="background:#90EE90;" | 9.8¢ ✓✓
| style="background:#90EE90;" | 9.8¢ ✓✓
| style="background:#FF9999;" | 45.7¢ ✗
| style="background:#FF9999;" | 45.7¢ ✗
| style="background:#FF9999;" | 46.3¢ ✗
|-
|-
| '''[[14edo]]'''
| [[14edo]]
| style="background:#ffcec6;" |8
| style="background:#ffe0e0;" | 8
| style="background:#90EE90;" | 0.0¢ ✓✓
| style="background:#90EE90;" | 0.0¢ ✓✓
| style="background:#FF9999;" | 16.2¢ ✗
| style="background:#FF9999;" | 16.2¢ ✗
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| style="background:#90EE90;" | 16.6¢ ✓✓
| style="background:#90EE90;" | 16.6¢ ✓✓
| style="background:#FFD700;" | 26.0¢ ✓
| style="background:#FFD700;" | 26.0¢ ✓
| style="background:#FF9999;" | 32.8¢ ✗
|-
|-
| '''[[15edo]]'''
| '''[[15edo]]'''
| style="background:#ffe9e5;" |3
| style="background:#ffffff;" | '''4*'''
| style="background:#90EE90;" | 0.0¢ ✓✓
| style="background:#90EE90;" | '''0.0¢ ✓✓'''
| style="background:#FF9999;" | 18.0¢ ✗
| style="background:#FF9999;" | '''18.0¢ ✗'''
| style="background:#FFD700;" | 13.7¢ ✓
| style="background:#FFD700;" | '''13.7¢ ✓'''
| style="background:#FFD700;" | 18.0¢ ✓
| style="background:#FFD700;" | '''18.0¢ ✓'''
| style="background:#90EE90;" | 4.3¢ ✓✓
| style="background:#90EE90;" | '''4.3¢ ✓✓'''
| style="background:#90EE90;" | 8.8¢ ✓✓
| style="background:#90EE90;" | '''8.8¢ ✓✓'''
| style="background:#FF9999;" | 36.1¢ ✗
| style="background:#FF9999;" | '''36.1¢ ✗'''
| style="background:#FF9999;" | 26.8¢ ✗
| style="background:#FF9999;" | '''26.8¢ ✗'''
| style="background:#90EE90;" | 4.3¢ ✓✓
| style="background:#90EE90;" | '''4.3¢ ✓✓'''
| style="background:#90EE90;" | 8.7¢ ✓✓
| style="background:#90EE90;" | '''8.7¢ ✓✓'''
| style="background:#FFD700;" | 22.5¢ ✓
| style="background:#FFD700;" | '''22.5¢ ✓'''
| style="background:#FFD700;" | 22.4¢ ✓
| style="background:#FFD700;" | '''22.4¢ ✓'''
| style="background:#90EE90;" | 9.3¢ ✓✓
| style="background:#90EE90;" | '''9.3¢ ✓✓'''
| style="background:#FF9999;" | 39.5¢ ✗
| style="background:#FF9999;" | '''39.5¢ ✗'''
| style="background:#90EE90;" | 8.8¢ ✓✓
| style="background:#90EE90;" | '''8.8¢ ✓✓'''
| style="background:#FFD700;" | 21.5¢ ✓
|-
|-
| '''[[16edo]]'''
| [[16edo]]
| style="background:#ffbfb8;" |5
| style="background:#ffe0e0;" | 6
| style="background:#90EE90;" | 0.0¢ ✓✓
| style="background:#90EE90;" | 0.0¢ ✓✓
| style="background:#FF9999;" | 27.0¢ ✗
| style="background:#FF9999;" | 27.0¢ ✗
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| style="background:#90EE90;" | 15.5¢ ✓✓
| style="background:#90EE90;" | 15.5¢ ✓✓
| style="background:#90EE90;" | 6.2¢ ✓✓
| style="background:#90EE90;" | 6.2¢ ✓✓
| style="background:#90EE90;" | 11.5¢ ✓✓
|-
|-
| '''[[17edo]]'''
| [[17edo]]
| style="background:#ffd9d2;" |6
| style="background:#ffe0e0;" | 7
| style="background:#90EE90;" | 0.0¢ ✓✓
| style="background:#90EE90;" | 0.0¢ ✓✓
| style="background:#90EE90;" | 3.9¢ ✓✓
| style="background:#90EE90;" | 3.9¢ ✓✓
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| style="background:#90EE90;" | 6.5¢ ✓✓
| style="background:#90EE90;" | 6.5¢ ✓✓
| style="background:#90EE90;" | 19.4¢ ✓✓
| style="background:#90EE90;" | 19.4¢ ✓✓
| style="background:#90EE90;" | 2.6¢ ✓✓
|-
|-
| '''[[18edo]]'''
| [[18edo]]
| style="background:#ffb4ac;" |7
| style="background:#ffe0e0;" | 8
| style="background:#90EE90;" | 0.0¢ ✓✓
| style="background:#90EE90;" | 0.0¢ ✓✓
| style="background:#FF9999;" | 31.4¢ ✗
| style="background:#FF9999;" | 31.4¢ ✗
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| style="background:#FFD700;" | 26.1¢ ✓
| style="background:#FFD700;" | 26.1¢ ✓
| style="background:#FF9999;" | 31.2¢ ✗
| style="background:#FF9999;" | 31.2¢ ✗
| style="background:#90EE90;" | 5.3¢ ✓✓
|-
|-
| '''[[19edo]]'''
| '''[[19edo]]'''
| style="background:#ffcec6;" |4
| style="background:#ffe0e0;" | '''5*'''
| style="background:#90EE90;" | 0.0¢ ✓✓
| style="background:#90EE90;" | '''0.0¢ ✓✓'''
| style="background:#FFD700;" | 7.2¢ ✓
| style="background:#FFD700;" | '''7.2¢ ✓'''
| style="background:#90EE90;" | 7.4¢ ✓✓
| style="background:#90EE90;" | '''7.4¢ ✓✓'''
| style="background:#90EE90;" | 7.2¢ ✓✓
| style="background:#90EE90;" | '''7.2¢ ✓✓'''
| style="background:#90EE90;" | 0.2¢ ✓✓
| style="background:#90EE90;" | '''0.2¢ ✓✓'''
| style="background:#FF9999;" | 21.5¢ ✗
| style="background:#FF9999;" | '''21.5¢ ✗'''
| style="background:#FFD700;" | 14.4¢ ✓
| style="background:#FFD700;" | '''14.4¢ ✓'''
| style="background:#FFD700;" | 14.3¢ ✓
| style="background:#FFD700;" | '''14.3¢ ✓'''
| style="background:#90EE90;" | 0.2¢ ✓✓
| style="background:#90EE90;" | '''0.2¢ ✓✓'''
| style="background:#90EE90;" | 17.1¢ ✓✓
| style="background:#90EE90;" | '''17.1¢ ✓✓'''
| style="background:#90EE90;" | 14.1¢ ✓✓
| style="background:#90EE90;" | '''14.1¢ ✓✓'''
| style="background:#90EE90;" | 7.0¢ ✓✓
| style="background:#90EE90;" | '''7.0¢ ✓✓'''
| style="background:#FFD700;" | 24.3¢ ✓
| style="background:#FFD700;" | '''24.3¢ ✓'''
| style="background:#90EE90;" | 19.5¢ ✓✓
| style="background:#90EE90;" | '''19.5¢ ✓✓'''
| style="background:#FFD700;" | 21.5¢ ✓
| style="background:#FFD700;" | '''21.5¢ ✓'''
| style="background:#90EE90;" | 12.3¢ ✓✓
|-
|-
| '''[[20edo]]'''
| [[20edo]]
| style="background:#ffa99f;" |10
| style="background:#ffb0b0;" | 11
| style="background:#90EE90;" | 0.0¢ ✓✓
| style="background:#90EE90;" | 0.0¢ ✓✓
| style="background:#FF9999;" | 18.0¢ ✗
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| style="background:#90EE90;" | 0.5¢ ✓✓
| style="background:#90EE90;" | 8.8¢ ✓✓
| style="background:#90EE90;" | 8.8¢ ✓✓
| style="background:#90EE90;" | 18.5¢ ✓✓
|-
|-
| '''[[21edo]]'''
| [[21edo]]
| style="background:#ffa99f;" |10
| style="background:#ffb0b0;" | 10
| style="background:#90EE90;" | 0.0¢ ✓✓
| style="background:#90EE90;" | 0.0¢ ✓✓
| style="background:#FF9999;" | 16.2¢ ✗
| style="background:#FF9999;" | 16.2¢ ✗
Line 477: Line 463:
| style="background:#90EE90;" | 16.6¢ ✓✓
| style="background:#90EE90;" | 16.6¢ ✓✓
| style="background:#90EE90;" | 2.6¢ ✓✓
| style="background:#90EE90;" | 2.6¢ ✓✓
| style="background:#FF9999;" | 32.8¢ ✗
|-
|-
| '''[[22edo]]'''
| '''[[22edo]]'''
| style="background:#ffd9d2;" |6
| style="background:#ffe0e0;" | '''6*'''
| style="background:#90EE90;" | 0.0¢ ✓✓
| style="background:#90EE90;" | '''0.0¢ ✓✓'''
| style="background:#FFD700;" | 7.1¢ ✓
| style="background:#FFD700;" | '''7.1¢ ✓'''
| style="background:#90EE90;" | 4.5¢ ✓✓
| style="background:#90EE90;" | '''4.5¢ ✓✓'''
| style="background:#90EE90;" | 7.1¢ ✓✓
| style="background:#90EE90;" | '''7.1¢ ✓✓'''
| style="background:#FFD700;" | 11.6¢ ✓
| style="background:#FFD700;" | '''11.6¢ ✓'''
| style="background:#FFD700;" | 13.0¢ ✓
| style="background:#FFD700;" | '''13.0¢ ✓'''
| style="background:#FFD700;" | 14.3¢ ✓
| style="background:#FFD700;" | '''14.3¢ ✓'''
| style="background:#90EE90;" | 5.9¢ ✓✓
| style="background:#90EE90;" | '''5.9¢ ✓✓'''
| style="background:#90EE90;" | 11.6¢ ✓✓
| style="background:#90EE90;" | '''11.6¢ ✓✓'''
| style="background:#90EE90;" | 5.9¢ ✓✓
| style="background:#90EE90;" | '''5.9¢ ✓✓'''
| style="background:#90EE90;" | 17.5¢ ✓✓
| style="background:#90EE90;" | '''17.5¢ ✓✓'''
| style="background:#90EE90;" | 18.8¢ ✓✓
| style="background:#90EE90;" | '''18.8¢ ✓✓'''
| style="background:#90EE90;" | 13.0¢ ✓✓
| style="background:#90EE90;" | '''13.0¢ ✓✓'''
| style="background:#FFD700;" | 22.3¢ ✓
| style="background:#FFD700;" | '''22.3¢ ✓'''
| style="background:#90EE90;" | 13.0¢ ✓✓
| style="background:#90EE90;" | '''13.0¢ ✓✓'''
| style="background:#FFD700;" | 29.4¢ ✓
|-
|-
| '''[[23edo]]'''
| [[23edo]]
| style="background:#ff8f83;" |14
| style="background:#ffb0b0;" | 15
| style="background:#90EE90;" | 0.0¢ ✓✓
| style="background:#90EE90;" | 0.0¢ ✓✓
| style="background:#FF9999;" | 23.7¢ ✗
| style="background:#FF9999;" | 23.7¢ ✗
Line 515: Line 499:
| style="background:#90EE90;" | 5.7¢ ✓✓
| style="background:#90EE90;" | 5.7¢ ✓✓
| style="background:#FFD700;" | 22.5¢ ✓
| style="background:#FFD700;" | 22.5¢ ✓
| style="background:#90EE90;" | 18.0¢ ✓✓
|-
|-
| '''[[24edo]]'''
| '''[[24edo]]'''
| style="background:#ff9e93;" |9
| style="background:#ffb0b0;" | '''10*'''
| style="background:#90EE90;" | 0.0¢ ✓✓
| style="background:#90EE90;" | '''0.0¢ ✓✓'''
| style="background:#90EE90;" | 2.0¢ ✓✓
| style="background:#90EE90;" | '''2.0¢ ✓✓'''
| style="background:#FFD700;" | 13.7¢ ✓
| style="background:#FFD700;" | '''13.7¢ ✓'''
| style="background:#90EE90;" | 2.0¢ ✓✓
| style="background:#90EE90;" | '''2.0¢ ✓✓'''
| style="background:#FFD700;" | 15.7¢ ✓
| style="background:#FFD700;" | '''15.7¢ ✓'''
| style="background:#FFD700;" | 18.8¢ ✓
| style="background:#FFD700;" | '''18.8¢ ✓'''
| style="background:#90EE90;" | 3.9¢ ✓✓
| style="background:#90EE90;" | '''3.9¢ ✓✓'''
| style="background:#FFD700;" | 16.8¢ ✓
| style="background:#FFD700;" | '''16.8¢ ✓'''
| style="background:#90EE90;" | 15.7¢ ✓✓
| style="background:#90EE90;" | '''15.7¢ ✓✓'''
| style="background:#90EE90;" | 1.3¢ ✓✓
| style="background:#90EE90;" | '''1.3¢ ✓✓'''
| style="background:#FF9999;" | 32.5¢ ✗
| style="background:#90EE90;" | '''17.5¢ ✓✓'''
| style="background:#90EE90;" | 17.6¢ ✓✓
| style="background:#90EE90;" | '''17.6¢ ✓✓'''
| style="background:#90EE90;" | 0.7¢ ✓✓
| style="background:#90EE90;" | '''0.7¢ ✓✓'''
| style="background:#90EE90;" | 9.5¢ ✓✓
| style="background:#90EE90;" | '''9.5¢ ✓✓'''
| style="background:#90EE90;" | 18.8¢ ✓✓
| style="background:#90EE90;" | '''18.8¢ ✓✓'''
| style="background:#90EE90;" | 11.5¢ ✓✓
|-
|-
| '''[[25edo]]'''
| [[25edo]]
| style="background:#ff8f83;" |13
| style="background:#ffb0b0;" | 14
| style="background:#90EE90;" | 0.0¢ ✓✓
| style="background:#90EE90;" | 0.0¢ ✓✓
| style="background:#FF9999;" | 18.0¢ ✗
| style="background:#FF9999;" | 18.0¢ ✗
Line 553: Line 535:
| style="background:#FFD700;" | 23.5¢ ✓
| style="background:#FFD700;" | 23.5¢ ✓
| style="background:#90EE90;" | 8.8¢ ✓✓
| style="background:#90EE90;" | 8.8¢ ✓✓
| style="background:#90EE90;" | 5.5¢ ✓✓
|-
|-
| '''[[26edo]]'''
| '''[[26edo]]'''
| style="background:#ffa99f;" |10
| style="background:#ffb0b0;" | '''11*'''
| style="background:#90EE90;" | 0.0¢ ✓✓
| style="background:#90EE90;" | '''0.0¢ ✓✓'''
| style="background:#FFD700;" | 9.6¢ ✓
| style="background:#FFD700;" | '''9.6¢ ✓'''
| style="background:#FFD700;" | 17.1¢ ✓
| style="background:#FFD700;" | '''17.1¢ ✓'''
| style="background:#90EE90;" | 9.6¢ ✓✓
| style="background:#90EE90;" | '''9.6¢ ✓✓'''
| style="background:#90EE90;" | 7.5¢ ✓✓
| style="background:#90EE90;" | '''7.5¢ ✓✓'''
| style="background:#90EE90;" | 0.4¢ ✓✓
| style="background:#90EE90;" | '''0.4¢ ✓✓'''
| style="background:#FFD700;" | 19.3¢ ✓
| style="background:#FFD700;" | '''19.3¢ ✓'''
| style="background:#90EE90;" | 10.0¢ ✓✓
| style="background:#90EE90;" | '''10.0¢ ✓✓'''
| style="background:#90EE90;" | 7.5¢ ✓✓
| style="background:#90EE90;" | '''7.5¢ ✓✓'''
| style="background:#90EE90;" | 2.5¢ ✓✓
| style="background:#90EE90;" | '''2.5¢ ✓✓'''
| style="background:#90EE90;" | 17.5¢ ✓✓
| style="background:#90EE90;" | '''17.5¢ ✓✓'''
| style="background:#90EE90;" | 2.2¢ ✓✓
| style="background:#90EE90;" | '''2.2¢ ✓✓'''
| style="background:#90EE90;" | 12.1¢ ✓✓
| style="background:#90EE90;" | '''12.1¢ ✓✓'''
| style="background:#90EE90;" | 9.8¢ ✓✓
| style="background:#90EE90;" | '''9.8¢ ✓✓'''
| style="background:#90EE90;" | 0.4¢ ✓✓
| style="background:#90EE90;" | '''0.4¢ ✓✓'''
| style="background:#90EE90;" | 0.2¢ ✓✓
|-
|-
| '''[[27edo]]'''
| '''[[27edo]]'''
| style="background:#ff9e93;" |11
| style="background:#ffb0b0;" | '''12*'''
| style="background:#90EE90;" | 0.0¢ ✓✓
| style="background:#90EE90;" | '''0.0¢ ✓✓'''
| style="background:#FFD700;" | 9.2¢ ✓
| style="background:#FFD700;" | '''9.2¢ ✓'''
| style="background:#FFD700;" | 13.7¢ ✓
| style="background:#FFD700;" | '''13.7¢ ✓'''
| style="background:#90EE90;" | 9.2¢ ✓✓
| style="background:#90EE90;" | '''9.2¢ ✓✓'''
| style="background:#90EE90;" | 4.5¢ ✓✓
| style="background:#90EE90;" | '''4.5¢ ✓✓'''
| style="background:#90EE90;" | 9.0¢ ✓✓
| style="background:#90EE90;" | '''9.0¢ ✓✓'''
| style="background:#FFD700;" | 18.3¢ ✓
| style="background:#FFD700;" | '''18.3¢ ✓'''
| style="background:#90EE90;" | 0.2¢ ✓✓
| style="background:#90EE90;" | '''0.2¢ ✓✓'''
| style="background:#90EE90;" | 4.5¢ ✓✓
| style="background:#90EE90;" | '''4.5¢ ✓✓'''
| style="background:#90EE90;" | 18.0¢ ✓✓
| style="background:#90EE90;" | '''18.0¢ ✓✓'''
| style="background:#90EE90;" | 4.7¢ ✓✓
| style="background:#90EE90;" | '''4.7¢ ✓✓'''
| style="background:#90EE90;" | 4.6¢ ✓✓
| style="background:#90EE90;" | '''4.6¢ ✓✓'''
| style="background:#FFD700;" | 27.2¢ ✓
| style="background:#FFD700;" | '''27.2¢ ✓'''
| style="background:#90EE90;" | 3.9¢ ✓✓
| style="background:#90EE90;" | '''3.9¢ ✓✓'''
| style="background:#90EE90;" | 9.0¢ ✓✓
| style="background:#90EE90;" | '''9.0¢ ✓✓'''
| style="background:#90EE90;" | 5.3¢ ✓✓
|-
|-
| '''[[28edo]]'''
| [[28edo]]
| style="background:#ff8478;" |15
| style="background:#ffb0b0;" | 15
| style="background:#90EE90;" | 0.0¢ ✓✓
| style="background:#90EE90;" | 0.0¢ ✓✓
| style="background:#FF9999;" | 16.2¢ ✗
| style="background:#FF9999;" | 16.2¢ ✗
Line 610: Line 589:
| style="background:#90EE90;" | 16.6¢ ✓✓
| style="background:#90EE90;" | 16.6¢ ✓✓
| style="background:#90EE90;" | 16.9¢ ✓✓
| style="background:#90EE90;" | 16.9¢ ✓✓
| style="background:#FF9999;" | 32.8¢ ✗
|-
|-
| '''[[29edo]]'''
| '''[[29edo]]'''
| style="background:#ff8f83;" |13
| style="background:#ffb0b0;" | '''14*'''
| style="background:#90EE90;" | 0.0¢ ✓✓
| style="background:#90EE90;" | '''0.0¢ ✓✓'''
| style="background:#90EE90;" | 1.5¢ ✓✓
| style="background:#90EE90;" | '''1.5¢ ✓✓'''
| style="background:#FFD700;" | 13.9¢ ✓
| style="background:#FFD700;" | '''13.9¢ ✓'''
| style="background:#90EE90;" | 1.5¢ ✓✓
| style="background:#90EE90;" | '''1.5¢ ✓✓'''
| style="background:#FFD700;" | 15.4¢ ✓
| style="background:#FFD700;" | '''15.4¢ ✓'''
| style="background:#FFD700;" | 17.1¢ ✓
| style="background:#FFD700;" | '''17.1¢ ✓'''
| style="background:#90EE90;" | 3.0¢ ✓✓
| style="background:#90EE90;" | '''3.0¢ ✓✓'''
| style="background:#FFD700;" | 18.6¢ ✓
| style="background:#FFD700;" | '''18.6¢ ✓'''
| style="background:#90EE90;" | 15.4¢ ✓✓
| style="background:#90EE90;" | '''15.4¢ ✓✓'''
| style="background:#90EE90;" | 13.4¢ ✓✓
| style="background:#90EE90;" | '''13.4¢ ✓✓'''
| style="background:#90EE90;" | 3.2¢ ✓✓
| style="background:#90EE90;" | '''3.2¢ ✓✓'''
| style="background:#90EE90;" | 16.9¢ ✓✓
| style="background:#90EE90;" | '''16.9¢ ✓✓'''
| style="background:#90EE90;" | 14.9¢ ✓✓
| style="background:#90EE90;" | '''14.9¢ ✓✓'''
| style="background:#90EE90;" | 12.9¢ ✓✓
| style="background:#90EE90;" | '''12.9¢ ✓✓'''
| style="background:#90EE90;" | 17.1¢ ✓✓
| style="background:#90EE90;" | '''17.1¢ ✓✓'''
| style="background:#90EE90;" | 14.4¢ ✓✓
|-
|-
| '''[[30edo]]'''
| [[30edo]]
| style="background:#ff796c;" |17
| style="background:#ff8080;" | 18
| style="background:#90EE90;" | 0.0¢ ✓✓
| style="background:#90EE90;" | 0.0¢ ✓✓
| style="background:#FF9999;" | 18.0¢ ✗
| style="background:#FF9999;" | 18.0¢ ✗
Line 648: Line 625:
| style="background:#90EE90;" | 0.5¢ ✓✓
| style="background:#90EE90;" | 0.5¢ ✓✓
| style="background:#90EE90;" | 8.8¢ ✓✓
| style="background:#90EE90;" | 8.8¢ ✓✓
| style="background:#90EE90;" | 18.5¢ ✓✓
|-
|-
| '''[[31edo]]'''
| '''[[31edo]]'''
| style="background:#ff8478;" |15
| style="background:#ffb0b0;" | '''16*'''
| style="background:#90EE90;" | 0.0¢ ✓✓
| style="background:#90EE90;" | '''0.0¢ ✓✓'''
| style="background:#FFD700;" | 5.2¢ ✓
| style="background:#FFD700;" | '''5.2¢ ✓'''
| style="background:#90EE90;" | 0.8¢ ✓✓
| style="background:#90EE90;" | '''0.8¢ ✓✓'''
| style="background:#90EE90;" | 5.2¢ ✓✓
| style="background:#90EE90;" | '''5.2¢ ✓✓'''
| style="background:#90EE90;" | 6.0¢ ✓✓
| style="background:#90EE90;" | '''6.0¢ ✓✓'''
| style="background:#90EE90;" | 1.1¢ ✓✓
| style="background:#90EE90;" | '''1.1¢ ✓✓'''
| style="background:#FFD700;" | 10.4¢ ✓
| style="background:#FFD700;" | '''10.4¢ ✓'''
| style="background:#90EE90;" | 4.1¢ ✓✓
| style="background:#90EE90;" | '''4.1¢ ✓✓'''
| style="background:#90EE90;" | 6.0¢ ✓✓
| style="background:#90EE90;" | '''6.0¢ ✓✓'''
| style="background:#90EE90;" | 9.4¢ ✓✓
| style="background:#90EE90;" | '''9.4¢ ✓✓'''
| style="background:#90EE90;" | 1.9¢ ✓✓
| style="background:#90EE90;" | '''1.9¢ ✓✓'''
| style="background:#90EE90;" | 11.2¢ ✓✓
| style="background:#90EE90;" | '''11.2¢ ✓✓'''
| style="background:#90EE90;" | 4.2¢ ✓✓
| style="background:#90EE90;" | '''4.2¢ ✓✓'''
| style="background:#90EE90;" | 11.1¢ ✓✓
| style="background:#90EE90;" | '''11.1¢ ✓✓'''
| style="background:#90EE90;" | 1.1¢ ✓✓
| style="background:#90EE90;" | '''1.1¢ ✓✓'''
| style="background:#90EE90;" | 16.3¢ ✓✓
|-
|-
| '''[[32edo]]'''
| [[32edo]]
| style="background:#ff6e60;" |18
| style="background:#ff8080;" | 19
| style="background:#90EE90;" | 0.0¢ ✓✓
| style="background:#90EE90;" | 0.0¢ ✓✓
| style="background:#FF9999;" | 10.5¢ ✗
| style="background:#FF9999;" | 10.5¢ ✗
Line 686: Line 661:
| style="background:#90EE90;" | 15.5¢ ✓✓
| style="background:#90EE90;" | 15.5¢ ✓✓
| style="background:#90EE90;" | 6.2¢ ✓✓
| style="background:#90EE90;" | 6.2¢ ✓✓
| style="background:#FFD700;" | 26.0¢ ✓
|-
|-
| '''[[33edo]]'''
| [[33edo]]
| style="background:#ff6354;" |20
| style="background:#ff8080;" | 21
| style="background:#90EE90;" | 0.0¢ ✓✓
| style="background:#90EE90;" | 0.0¢ ✓✓
| style="background:#FF9999;" | 11.0¢ ✗
| style="background:#FF9999;" | 11.0¢ ✗
Line 705: Line 679:
| style="background:#90EE90;" | 4.2¢ ✓✓
| style="background:#90EE90;" | 4.2¢ ✓✓
| style="background:#90EE90;" | 13.0¢ ✓✓
| style="background:#90EE90;" | 13.0¢ ✓✓
| style="background:#90EE90;" | 6.8¢ ✓✓
|-
|-
| '''[[34edo]]'''
| '''[[34edo]]'''
| style="background:#ff6e60;" |18
| style="background:#ff8080;" | '''19*'''
| style="background:#90EE90;" | 0.0¢ ✓✓
| style="background:#90EE90;" | '''0.0¢ ✓✓'''
| style="background:#90EE90;" | 3.9¢ ✓✓
| style="background:#90EE90;" | '''3.9¢ ✓✓'''
| style="background:#90EE90;" | 1.9¢ ✓✓
| style="background:#90EE90;" | '''1.9¢ ✓✓'''
| style="background:#90EE90;" | 3.9¢ ✓✓
| style="background:#90EE90;" | '''3.9¢ ✓✓'''
| style="background:#90EE90;" | 2.0¢ ✓✓
| style="background:#90EE90;" | '''2.0¢ ✓✓'''
| style="background:#FFD700;" | 15.9¢ ✓
| style="background:#FFD700;" | '''15.9¢ ✓'''
| style="background:#90EE90;" | 7.9¢ ✓✓
| style="background:#90EE90;" | '''7.9¢ ✓✓'''
| style="background:#FFD700;" | 19.8¢ ✓
| style="background:#FFD700;" | '''19.8¢ ✓'''
| style="background:#90EE90;" | 2.0¢ ✓✓
| style="background:#90EE90;" | '''2.0¢ ✓✓'''
| style="background:#90EE90;" | 13.4¢ ✓✓
| style="background:#90EE90;" | '''13.4¢ ✓✓'''
| style="background:#90EE90;" | 17.8¢ ✓✓
| style="background:#90EE90;" | '''17.8¢ ✓✓'''
| style="background:#90EE90;" | 6.0¢ ✓✓
| style="background:#90EE90;" | '''6.0¢ ✓✓'''
| style="background:#90EE90;" | 9.5¢ ✓✓
| style="background:#90EE90;" | '''9.5¢ ✓✓'''
| style="background:#90EE90;" | 6.5¢ ✓✓
| style="background:#90EE90;" | '''6.5¢ ✓✓'''
| style="background:#90EE90;" | 15.9¢ ✓✓
| style="background:#90EE90;" | '''15.9¢ ✓✓'''
| style="background:#90EE90;" | 2.6¢ ✓✓
|-
|-
| '''[[35edo]]'''
| [[35edo]]
| style="background:#ff584a;" |21
| style="background:#ff8080;" | 21
| style="background:#90EE90;" | 0.0¢ ✓✓
| style="background:#90EE90;" | 0.0¢ ✓✓
| style="background:#FF9999;" | 16.2¢ ✗
| style="background:#FF9999;" | 16.2¢ ✗
Line 743: Line 715:
| style="background:#90EE90;" | 16.6¢ ✓✓
| style="background:#90EE90;" | 16.6¢ ✓✓
| style="background:#90EE90;" | 8.8¢ ✓✓
| style="background:#90EE90;" | 8.8¢ ✓✓
| style="background:#FF9999;" | 32.8¢ ✗
|-
|-
| '''[[36edo]]'''
| '''[[36edo]]'''
| style="background:#ff6354;" |20
| style="background:#ff8080;" | '''21*'''
| style="background:#90EE90;" | 0.0¢ ✓✓
| style="background:#90EE90;" | '''0.0¢ ✓✓'''
| style="background:#90EE90;" | 2.0¢ ✓✓
| style="background:#90EE90;" | '''2.0¢ ✓✓'''
| style="background:#FFD700;" | 13.7¢ ✓
| style="background:#FFD700;" | '''13.7¢ ✓'''
| style="background:#90EE90;" | 2.0¢ ✓✓
| style="background:#90EE90;" | '''2.0¢ ✓✓'''
| style="background:#FFD700;" | 15.7¢ ✓
| style="background:#FFD700;" | '''15.7¢ ✓'''
| style="background:#90EE90;" | 2.2¢ ✓✓
| style="background:#90EE90;" | '''2.2¢ ✓✓'''
| style="background:#90EE90;" | 3.9¢ ✓✓
| style="background:#90EE90;" | '''3.9¢ ✓✓'''
| style="background:#90EE90;" | 0.2¢ ✓✓
| style="background:#90EE90;" | '''0.2¢ ✓✓'''
| style="background:#90EE90;" | 15.7¢ ✓✓
| style="background:#90EE90;" | '''15.7¢ ✓✓'''
| style="background:#90EE90;" | 15.3¢ ✓✓
| style="background:#90EE90;" | '''15.3¢ ✓✓'''
| style="background:#90EE90;" | 15.9¢ ✓✓
| style="background:#90EE90;" | '''15.9¢ ✓✓'''
| style="background:#90EE90;" | 17.6¢ ✓✓
| style="background:#90EE90;" | '''17.6¢ ✓✓'''
| style="background:#90EE90;" | 17.3¢ ✓✓
| style="background:#90EE90;" | '''17.3¢ ✓✓'''
| style="background:#90EE90;" | 7.2¢ ✓✓
| style="background:#90EE90;" | '''7.2¢ ✓✓'''
| style="background:#90EE90;" | 2.2¢ ✓✓
| style="background:#90EE90;" | '''2.2¢ ✓✓'''
| style="background:#90EE90;" | 5.2¢ ✓✓
|-
|-
| '''[[37edo]]'''
| [[37edo]]
| style="background:#ff4d3e;" |22
| style="background:#ff8080;" | 23
| style="background:#90EE90;" | 0.0¢ ✓✓
| style="background:#90EE90;" | 0.0¢ ✓✓
| style="background:#FF9999;" | 11.6¢ ✗
| style="background:#FF9999;" | 11.6¢ ✗
Line 781: Line 751:
| style="background:#90EE90;" | 2.7¢ ✓✓
| style="background:#90EE90;" | 2.7¢ ✓✓
| style="background:#90EE90;" | 4.1¢ ✓✓
| style="background:#90EE90;" | 4.1¢ ✓✓
| style="background:#90EE90;" | 8.9¢ ✓✓
|-
|-
| '''[[38edo]]'''
| [[38edo]]
| style="background:#ff4d3e;" |22
| style="background:#ff8080;" | 23
| style="background:#90EE90;" | 0.0¢ ✓✓
| style="background:#90EE90;" | 0.0¢ ✓✓
| style="background:#FFD700;" | 7.2¢ ✓
| style="background:#FFD700;" | 7.2¢ ✓
Line 800: Line 769:
| style="background:#90EE90;" | 12.1¢ ✓✓
| style="background:#90EE90;" | 12.1¢ ✓✓
| style="background:#90EE90;" | 10.1¢ ✓✓
| style="background:#90EE90;" | 10.1¢ ✓✓
| style="background:#90EE90;" | 19.3¢ ✓✓
|-
|-
| '''[[39edo]]'''
| [[39edo]]
| style="background:#fc4a3b;" |24
| style="background:#ff8080;" | 25
| style="background:#90EE90;" | 0.0¢ ✓✓
| style="background:#90EE90;" | 0.0¢ ✓✓
| style="background:#FFD700;" | 5.7¢ ✓
| style="background:#FFD700;" | 5.7¢ ✓
Line 819: Line 787:
| style="background:#90EE90;" | 9.8¢ ✓✓
| style="background:#90EE90;" | 9.8¢ ✓✓
| style="background:#90EE90;" | 15.0¢ ✓✓
| style="background:#90EE90;" | 15.0¢ ✓✓
| style="background:#90EE90;" | 15.5¢ ✓✓
|-
|-
| '''[[40edo]]'''
| [[40edo]]
| style="background:#f9473a;" |25
| style="background:#ff8080;" | 26
| style="background:#90EE90;" | 0.0¢ ✓✓
| style="background:#90EE90;" | 0.0¢ ✓✓
| style="background:#FF9999;" | 12.0¢ ✗
| style="background:#FF9999;" | 12.0¢ ✗
Line 838: Line 805:
| style="background:#90EE90;" | 0.5¢ ✓✓
| style="background:#90EE90;" | 0.5¢ ✓✓
| style="background:#90EE90;" | 8.8¢ ✓✓
| style="background:#90EE90;" | 8.8¢ ✓✓
| style="background:#90EE90;" | 11.5¢ ✓✓
|-
|-
| '''[[41edo]]'''
| '''[[41edo]]'''
| style="background:#f9473a;" |25
| style="background:#ff8080;" | '''26*'''
| style="background:#90EE90;" | 0.0¢ ✓✓
| style="background:#90EE90;" | '''0.0¢ ✓✓'''
| style="background:#90EE90;" | 0.5¢ ✓✓
| style="background:#90EE90;" | '''0.5¢ ✓✓'''
| style="background:#90EE90;" | 5.8¢ ✓✓
| style="background:#90EE90;" | '''5.8¢ ✓✓'''
| style="background:#90EE90;" | 0.5¢ ✓✓
| style="background:#90EE90;" | '''0.5¢ ✓✓'''
| style="background:#90EE90;" | 6.3¢ ✓✓
| style="background:#90EE90;" | '''6.3¢ ✓✓'''
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| '''[[42edo]]'''
| [[42edo]]
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| '''[[43edo]]'''
| '''[[43edo]]'''
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| style="background:#ff8080;" | '''28*'''
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| '''[[44edo]]'''
| [[44edo]]
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| '''[[45edo]]'''
| [[45edo]]
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| '''[[46edo]]'''
| '''[[46edo]]'''
| style="background:#eb3a32;" |30
| style="background:#ff8080;" | '''31*'''
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| '''[[47edo]]'''
| [[47edo]]
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| '''[[48edo]]'''
| '''[[48edo]]'''
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| '''[[49edo]]'''
| [[49edo]]
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| '''[[50edo]]'''
| [[50edo]]
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| '''[[51edo]]'''
| [[51edo]]
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| '''[[52edo]]'''
| [[52edo]]
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| '''[[53edo]]'''
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Line 1,118: Line 1,071:
13/1 (neu 6th^)
13/1 (neu 6th^)
  8/7 (supmaj 2nd)
  8/7 (supmaj 2nd)
13/3 (large tridec neu 2nd^)
DISSONANCES
DISSONANCES
Any note not within range of one of the above.
Any note not within range of one of the above.
Line 1,131: Line 1,083:
Use the attached PDF to calculate the correct numbers.
Use the attached PDF to calculate the correct numbers.
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, then coloured it using Claude.)
== See also ==
* [[User:BudjarnLambeth/Runoff]]
* [[Dual-fifth]]
* [[Low harmonic entropy linear temperaments]]
* [[Harmonic entropy of just intervals]]
Retrieved from "https://en.xen.wiki/w/User:BudjarnLambeth/The_intervals_I_see_as_important"