Harmonics 4–8: Difference between revisions

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{{Infobox harmonics|4}}
[[File:4ado scale.wav|thumb]]
[[File:4ado scale.wav|thumb]]
'''4ado''' is the [[ADO|arithmetic equal division of the octave]] into four parts of 1/4 each. Because 4 is a power of 2, 4ado corresponds to the 1st to 4th harmonics octave-reduced. The notes of 4ado create a harmonic seventh chord.
 
{{Harmonics intro|4}} The notes of this scale create a [[4:5:6:7|harmonic seventh chord]].
 
The smallest [[edo]]s that maintain 25% or lower relative error on all intervals of this scale are [[10edo]] and [[15edo]], though they are not very accurate. The next two edos, [[22edo]] and [[31edo]], are the smallest that approximate this scale with appreciable accuracy.


== Intervals ==
== Intervals ==
{| class="wikitable center-all"
{| class="wikitable center-all"
|-
! #
! #
! Cents
! Cents
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| 0
| 0
| [[1/1]]
| [[1/1]]
| 1.000
| 1.0000
| perfect unison
| perfect unison
|  
|  
Line 21: Line 26:
| 386.3
| 386.3
| [[5/4]]
| [[5/4]]
| 1.250
| 1.2500
| just major third
| just major third
| [[File:Jid_5_4_pluck_adu_dr220.mp3]]
| [[File:Jid_5_4_pluck_adu_dr220.mp3]]
Line 28: Line 33:
| 702.0
| 702.0
| [[3/2]]
| [[3/2]]
| 1.500
| 1.5000
| just perfect fifth
| just perfect fifth
| [[File:Jid_3_2_pluck_adu_dr220.mp3]]
| [[File:Jid_3_2_pluck_adu_dr220.mp3]]
Line 35: Line 40:
| 968.8
| 968.8
| [[7/4]]
| [[7/4]]
| 1.7500
| harmonic seventh
| harmonic seventh
| [[File:Jid_7_4_pluck_adu_dr220.mp3]]
| [[File:Jid_7_4_pluck_adu_dr220.mp3]]
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| 1200.0
| 1200.0
| [[2/1]]
| [[2/1]]
| 2.000
| 2.0000
| perfect octave
| perfect octave
| [[File:Jid_2_1_pluck_adu_dr220.mp3]]
| [[File:Jid_2_1_pluck_adu_dr220.mp3]]
|}
|}


[[Category:ADO]]
{{Navbox harmonics}}