Harmonics 7–14: Difference between revisions

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'''7ado''' is the [[ADO|arithmetic equal division of the octave]] into seven parts of 1/7 each. As 7 is a small odd number, this ADO does not contain a perfect fifth or any reasonable approximation to it, and it is relatively poor for its size at creating traditional tonal music.
{{Infobox harmonics|7}}
{{Harmonics intro|7}} As 7 is a small odd number, this scale does not contain a perfect fifth or any reasonable approximation to one in its root position. This makes it relatively poor for its size at creating traditional tonal music unless rotated. The [[otonal heptad]] is the same scale but starting on the second degree.


== Intervals ==
== Intervals ==
Line 6: Line 7:
! Cents
! Cents
! Ratio
! Ratio
! Decimal
! Interval name
! Interval name
! Audio
! Audio
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| 0
| 0
| [[1/1]]
| [[1/1]]
| 1.0000
| perfect unison
| perfect unison
|
|
Line 18: Line 21:
| 231.2
| 231.2
| [[8/7]]
| [[8/7]]
| 1.1429
| supermajor second
| supermajor second
| [[File:Jid_8_7_pluck_adu_dr220.mp3]]
| [[File:Jid_8_7_pluck_adu_dr220.mp3]]
Line 24: Line 28:
| 435.1
| 435.1
| [[9/7]]
| [[9/7]]
| 1.2857
| supermajor third
| supermajor third
| [[File:Jid_9_7_pluck_adu_dr220.mp3]]
| [[File:Jid_9_7_pluck_adu_dr220.mp3]]
Line 30: Line 35:
| 617.5
| 617.5
| [[10/7]]
| [[10/7]]
| 1.4286
| high tritone
| high tritone
| [[File:Jid_10_7_pluck_adu_dr220.mp3]]
| [[File:Jid_10_7_pluck_adu_dr220.mp3]]
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| 782.4
| 782.4
| [[11/7]]
| [[11/7]]
| 1.5714
| undecimal minor sixth
| undecimal minor sixth
| [[File:Jid_11_7_pluck_adu_dr220.mp3]]
| [[File:Jid_11_7_pluck_adu_dr220.mp3]]
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| 933.1
| 933.1
| [[12/7]]
| [[12/7]]
| 1.7143
| supermajor sixth
| supermajor sixth
| [[File:Jid_12_7_pluck_adu_dr220.mp3]]
| [[File:Jid_12_7_pluck_adu_dr220.mp3]]
Line 48: Line 56:
| 1071.7
| 1071.7
| [[13/7]]
| [[13/7]]
| 1.8571
| tridecimal submajor seventh
| tridecimal submajor seventh
| [[File:Jid_13_7_pluck_adu_dr220.mp3]]
| [[File:Jid_13_7_pluck_adu_dr220.mp3]]
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| 1200.0
| 1200.0
| [[2/1]]
| [[2/1]]
| 2.0000
| perfect octave
| perfect octave
| [[File:Jid_2_1_pluck_adu_dr220.mp3]]
| [[File:Jid_2_1_pluck_adu_dr220.mp3]]
|}
|}


[[Category:ADO]]
== Scala files ==
<pre>
! harmd-mix.scl
!
HarmD-Mixolydian. Harmonics 7-14                                               
7
!
8/7
9/7
10/7
11/7
12/7
13/7
2/1
</pre>
 
 
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[[Category:7-tone scales]]
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