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. 4ado is perhaps the smallest ADO that contains useful intervals for harmony, containing the major third, perfect fifth, and harmonic seventh. It is just barely large enough to be usable as a scale.
 
{{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
! Ratio
! Ratio
! Decimal
! Interval name
! Interval name
! Audio
|-
|-
| 0
| 0
| 0
| 0
| [[1/1]]
| [[1/1]]
| 1.0000
| perfect unison
| perfect unison
|
|-
|-
| 1
| 1
| 386.3
| 386.3
| [[5/4]]
| [[5/4]]
| 1.2500
| just major third
| just major third
| [[File:Jid_5_4_pluck_adu_dr220.mp3]]
|-
|-
| 2
| 2
| 702.0
| 702.0
| [[3/2]]
| [[3/2]]
| 1.5000
| just perfect fifth
| just perfect fifth
| [[File:Jid_3_2_pluck_adu_dr220.mp3]]
|-
|-
| 3
| 3
| 968.8
| 968.8
| [[7/4]]
| [[7/4]]
| 1.7500
| harmonic seventh
| harmonic seventh
| [[File:Jid_7_4_pluck_adu_dr220.mp3]]
|-
|-
| 4
| 4
| 1200.0
| 1200.0
| [[2/1]]
| [[2/1]]
| 2.0000
| perfect octave
| perfect octave
| [[File:Jid_2_1_pluck_adu_dr220.mp3]]
|}
|}


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