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| "Otones 8-16" refers to a scale generated by taking the 8th through 16th harmonics of the harmonic series. Dante Rosati calls this the "Diatonic Harmonic Series Scale" and Denny Genovese calls this "Mode 8 of the Harmonic Series". It may be treated as octave-repeating, or not. The frequency ratio between the steps of the scale can be represented as 8:9:10:11:12:13:14:15:16. Note that 16, being a doubling of 8, is an octave above the first tone.
| | #redirect [[8afdo]] |
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| Otones 8-16 contains eight tones in the octave and eight different step sizes. The steps get smaller as the scale ascends:
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| {| class="wikitable"
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| |-
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| | | harmonic
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| | | ratio from 1/1
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| | | ratio in between ("step")
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| | | names
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| | | cents value, scale member
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| | | cents value, step
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| |-
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| | | 8
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| | | 1/1
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| | | unison, perfect prime
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| | | 0.00
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| | |
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| |-
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| | | 9:8
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| | | large whole step; Pythagorean whole step; major whole tone
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| | | 203.91
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| |-
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| | | 9
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| | | 9/8
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| | | large whole step; Pythagorean whole step; major whole tone
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| | | 203.91
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| |-
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| | | 10:9
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| | | small whole step; 5-limit whole step; minor whole tone
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| | | 182.40
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| |-
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| | | 10
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| | | 5/4
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| | | 5-limit major third
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| | | 386.31
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| |-
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| | | 11:10
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| | | large undecimal neutral second, 4/5-tone, Ptolemy's second
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| | | 165.00
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| |-
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| | | 11
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| | | 11/8
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| | | undecimal semi-augmented fourth
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| | | 551.32
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| |-
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| | | 12:11
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| | | small undecimal neutral second, 3/4-tone
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| | | 150.64
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| |-
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| | | 12
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| | | 3/2
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| | | just perfect fifth
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| | | 701.955
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| |-
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| | | 13:12
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| | | large tridecimal neutral second, tridecimal 2/3 tone
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| | | 138.57
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| |-
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| | | 13
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| | | 13/8
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| | | tridecimal neutral sixth
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| | | 840.53
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| |-
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| | | 14:13
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| | | small tridecimal neutral second; lesser tridecimal 2/3 tone
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| | | 128.30
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| |-
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| | | 14
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| | | 7/4
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| | | harmonic seventh
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| | | 968.83
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| |-
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| | | 15:14
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| | | septimal minor second; major diatonic semitone
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| | | 119.44
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| |-
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| | | 15
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| | | 15/8
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| | | 5-limit major seventh; classic major seventh
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| | | 1088.27
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| |-
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| | | 16:15
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| | | 5-limit minor second; classic minor second; minor diatonic semitone
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| | | 111.73
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| |-
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| | | 16
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| | | 2/1
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| | | perfect octave
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| | | 1200.00
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| |}
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| ===Compositions:===
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| [https://www.youtube.com/watch?v=FlwN7qSGz9U Paracelsus for Diatonic Harmonic Guitar by Dante Rosati] | |
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| [https://www.youtube.com/watch?v=U6ElPRoIZak No Snow for Diatonic Harmonic Guitar by Dante Rosati] | |
| [[Category:Overtone]]
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| [[Category:Harmonic series]]
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| [[Category:AFDO]]
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| [[Category:Tables]]
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| [[Category:8-tone scales]]
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