17afdo: Difference between revisions

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Intervals: Added content cells to the interval table and filled out every column except for the audio column.
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== Intervals ==
== Intervals ==
TBA
{| class="wikitable center-all"
{| class="wikitable center-all"
! #
! #
Line 13: Line 12:
! Interval name
! Interval name
! Audio
! Audio
|-
|0
|0.00
|1/1
|1.0000
|Perfect Unison
|
|-
|1
|98.96
|18/17
|1.0588
|Small Septendecimal Semitone
|
|-
|2
|192.56
|19/17
|1.1176
|Large Undevicesimal Whole Tone
|
|-
|3
|281.36
|20/17
|1.1765
|Diatismic Minor Third
|
|-
|4
|365.83
|21/17
|1.2353
|Septendecimal Submajor Third
|
|-
|5
|446.36
|22/17
|1.2941
|Septendecimal Supermajor Third
|
|-
|6
|523.32
|23/17
|1.3529
|Vicesimotertial Acute Fourth
|
|-
|7
|597.00
|24/17
|1.4118
|Small Septendecimal Tritone
|
|-
|8
|667.67
|25/17
|1.4706
|Vengeance Subfifth
|
|-
|9
|735.57
|26/17
|1.5294
|Septendecimal Superfifth
|
|-
|10
|800.91
|27/17
|1.5882
|Septendecimal Quasi-Tempered Minor Sixth
|
|-
|11
|863.87
|28/17
|1.6471
|Septendecimal Submajor Sixth
|
|-
|12
|924.62
|29/17
|1.7059
|Vicesimononal supermajor sixth
|
|-
|13
|983.31
|30/17
|1.7647
|Diatismic Minor Seventh
|
|-
|14
|1040.08
|31/17
|1.8235
|Untrigesimal Submajor Seventh
|
|-
|15
|1095.04
|32/17
|1.8824
|Septendecimal Major Seventh
|
|-
|16
|1148.31
|33/17
|1.9412
|Septendecimal Ultramajor Seventh
|
|-
|17
|1200.00
|2/1
|2.0000
|Perfect Octave
|
|}
|}


{{stub}}
{{stub}}
{{todo|complete table}}
{{todo|complete table}}

Revision as of 02:46, 15 December 2024

← 16afdo 17afdo 18afdo →
Prime factorization 17 (prime)
Dual sharp fifth 26/17 (735.572c)
Dual flat fifth 25/17 (667.672c)

17afdo (arithmetic frequency division of the octave), or 17odo (otonal division of the octave), divides the octave into 17 parts of 1/17 each. As a scale it may be known as mode 17 of the harmonic series or the Over-17 scale.


Intervals

# Cents Ratio Decimal Interval name Audio
0 0.00 1/1 1.0000 Perfect Unison
1 98.96 18/17 1.0588 Small Septendecimal Semitone
2 192.56 19/17 1.1176 Large Undevicesimal Whole Tone
3 281.36 20/17 1.1765 Diatismic Minor Third
4 365.83 21/17 1.2353 Septendecimal Submajor Third
5 446.36 22/17 1.2941 Septendecimal Supermajor Third
6 523.32 23/17 1.3529 Vicesimotertial Acute Fourth
7 597.00 24/17 1.4118 Small Septendecimal Tritone
8 667.67 25/17 1.4706 Vengeance Subfifth
9 735.57 26/17 1.5294 Septendecimal Superfifth
10 800.91 27/17 1.5882 Septendecimal Quasi-Tempered Minor Sixth
11 863.87 28/17 1.6471 Septendecimal Submajor Sixth
12 924.62 29/17 1.7059 Vicesimononal supermajor sixth
13 983.31 30/17 1.7647 Diatismic Minor Seventh
14 1040.08 31/17 1.8235 Untrigesimal Submajor Seventh
15 1095.04 32/17 1.8824 Septendecimal Major Seventh
16 1148.31 33/17 1.9412 Septendecimal Ultramajor Seventh
17 1200.00 2/1 2.0000 Perfect Octave
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