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

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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>
|-
|-


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| style="background:#FF9999;" | 359.0¢ ✗
| style="background:#FF9999;" | 231.0¢ ✗
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| style="background:#FF9999;" | 139.0¢ ✗
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| '''3'''
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| '''4'''
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| '''5'''
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| '''6'''
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| '''7'''
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| '''8'''
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| '''9'''
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| '''10'''
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| '''11'''
| [[11edo]]
|6
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|-
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| '''12'''
| '''[[12edo]]'''
|3
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|-
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| '''13'''
| [[13edo]]
|6
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| '''14'''
| [[14edo]]
|8
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| '''15'''
| '''[[15edo]]'''
|12
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| '''16'''
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| '''19'''
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| '''20'''
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| 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¢ ✓
|-
|-
| '''23'''
| [[23edo]]
|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 516: 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¢ ✓✓
|-
|-
| '''24'''
| '''[[24edo]]'''
|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¢ ✓✓
|-
|-
| '''25'''
| [[25edo]]
|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 554: 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¢ ✓✓
|-
|-
| '''26'''
| '''[[26edo]]'''
|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¢ ✓✓
|-
|-
| '''27'''
| '''[[27edo]]'''
|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¢ ✓✓
|-
|-
| '''28'''
| [[28edo]]
|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 611: 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¢ ✗
|-
|-
| '''29'''
| '''[[29edo]]'''
|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¢ ✓✓
|-
|-
| '''30'''
| [[30edo]]
|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 649: 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¢ ✓✓
|-
|-
| '''31'''
| '''[[31edo]]'''
|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¢ ✓✓
|-
|-
| '''32'''
| [[32edo]]
|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 687: 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¢ ✓
|-
|-
| '''33'''
| [[33edo]]
|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 706: 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¢ ✓✓
|-
|-
| '''34'''
| '''[[34edo]]'''
|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¢ ✓✓
|-
|-
| '''35'''
| [[35edo]]
|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 744: 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¢ ✗
|-
|-
| '''36'''
| '''[[36edo]]'''
|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¢ ✓✓
|-
|-
| '''37'''
| [[37edo]]
|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 782: 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¢ ✓✓
|-
|-
| '''38'''
| [[38edo]]
|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 801: 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¢ ✓✓
|-
|-
| '''39'''
| [[39edo]]
|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 820: 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¢ ✓✓
|-
|-
| '''40'''
| [[40edo]]
|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 839: 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¢ ✓✓
|-
|-
| '''41'''
| '''[[41edo]]'''
|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¢ ✓✓'''
| style="background:#90EE90;" | 3.0¢ ✓✓
| style="background:#90EE90;" | '''3.0¢ ✓✓'''
| style="background:#90EE90;" | 1.0¢ ✓✓
| style="background:#90EE90;" | '''1.0¢ ✓✓'''
| style="background:#90EE90;" | 3.5¢ ✓✓
| style="background:#90EE90;" | '''3.5¢ ✓✓'''
| style="background:#90EE90;" | 6.3¢ ✓✓
| style="background:#90EE90;" | '''6.3¢ ✓✓'''
| style="background:#90EE90;" | 4.8¢ ✓✓
| style="background:#90EE90;" | '''4.8¢ ✓✓'''
| style="background:#90EE90;" | 2.8¢ ✓✓
| style="background:#90EE90;" | '''2.8¢ ✓✓'''
| style="background:#90EE90;" | 6.8¢ ✓✓
| style="background:#90EE90;" | '''6.8¢ ✓✓'''
| style="background:#90EE90;" | 4.3¢ ✓✓
| style="background:#90EE90;" | '''4.3¢ ✓✓'''
| style="background:#90EE90;" | 8.3¢ ✓✓
| style="background:#90EE90;" | '''8.3¢ ✓✓'''
| style="background:#90EE90;" | 3.0¢ ✓✓
| style="background:#90EE90;" | '''3.0¢ ✓✓'''
| style="background:#90EE90;" | 7.8¢ ✓✓
|-
|-
| '''42'''
| [[42edo]]
|27
| style="background:#ff8080;" | 28
| style="background:#90EE90;" | 0.0¢ ✓✓
| style="background:#90EE90;" | 0.0¢ ✓✓
| style="background:#FF9999;" | 12.3¢ ✗
| style="background:#FF9999;" | 12.3¢ ✗
Line 877: Line 841:
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| '''43'''
| '''[[43edo]]'''
|27
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| '''44'''
| [[44edo]]
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| '''45'''
| [[45edo]]
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| '''46'''
| '''[[46edo]]'''
|30
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| '''47'''
| [[47edo]]
|31
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| '''48'''
| '''[[48edo]]'''
|32
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| '''49'''
| [[49edo]]
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| '''52'''
| [[52edo]]
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|}


Line 1,119: 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.
Retrieved from "https://en.xen.wiki/w/User:BudjarnLambeth/The_intervals_I_see_as_important"