Francium: Created page with "{{Infobox IFDO|steps=16}} '''16ifdo''' (inverse-arithmetic frequency division of the octave), or '''16udo''' (utonal division of the octave), if the attempt is made to use it as an actual tuning system, would divide the octave into sixteen inverse-arithmetically equal parts. It is a superset of 15ifdo and a subset of 17ifdo, its inverse is 16afdo. As a scale it may also be known as mode 16 of the subharmonic series or the Under-16 sca..."

2026-04-12T12:33:11Z

Created page with "{{Infobox IFDO|steps=16}} '''16ifdo''' (inverse-arithmetic frequency division of the octave), or '''16udo''' (utonal division of the octave), if the attempt is made to use it as an actual tuning system, would divide the octave into sixteen inverse-arithmetically equal parts. It is a superset of 15ifdo and a subset of 17ifdo, its inverse is 16afdo. As a scale it may also be known as mode 16 of the subharmonic series or the Under-16 sca..."

New page

{{Infobox IFDO|steps=16}}
'''16ifdo''' ([[IFDO|inverse-arithmetic frequency division of the octave]]), or '''16udo''' ([[utonal division]] of the octave), if the attempt is made to use it as an actual [[tuning system]], would divide the [[octave]] into sixteen inverse-arithmetically equal parts. It is a superset of [[15ifdo]] and a subset of [[17ifdo]], its inverse is [[16afdo]]. As a [[scale]] it may also be known as mode 16 of the subharmonic series or the Under-16 scale

== Intervals ==
{| class="wikitable center-all"
! #
! Cents
! Ratio
! Interval name
! Audio
|-
| 0
| 0.00
| [[1/1]]
| perfect unison
|
|-
| 1
| 54.964
| [[32/31]]
| small tricesimoprimal quartertone
| [[File:Ji-32-31-csound-foscil-220hz.mp3]]
|-
| 2
| 111.731
| [[16/15]]
| just diatonic semitone
| [[File:Jid_16_15_pluck_adu_dr220.mp3]]
|-
| 3
| 170.423
| [[32/29]]
| vicesimononal submajor second
|
|-
| 4
| 231.174
| [[8/7]]
| septimal major second
| [[File:Jid_8_7_pluck_adu_dr220.mp3]]
|-
| 5
| 294.135
| [[32/27]]
| Pythagorean minor third
| [[File:Jid_32_27_pluck_adu_dr220.mp3]]
|-
| 6
| 359.472
| [[16/13]]
| (greater) tridecimal neutral third
| [[File:Jid_16_13_pluck_adu_dr220.mp3]]
|-
| 7
| 427.373
| [[32/25]]
| classic(al) diminished fourth
| [[File:Jid_32_25_pluck_adu_dr220.mp3]]
|-
| 8
| 498.045
| [[4/3]]
| just perfect fourth
| [[File:Jid_4_3_pluck_adu_dr220.mp3]]
|-
| 9
| 571.726
| [[32/23]]
| vicesimotertial narrow tritone
| [[File:Ji-32-23-csound-foscil-220hz.mp3]]
|-
| 10
| 648.682
| [[16/11]]
| undecimal subfifth
| [[File:Jid_16_11_pluck_adu_dr220.mp3]]
|-
| 11
| 729.219
| [[32/21]]
| septimal superfifth
| [[File:Jid_32_21_pluck_adu_dr220.mp3]]
|-
| 12
| 813.686
| [[8/5]]
| just minor sixth
| [[File:Jid_8_5_pluck_adu_dr220.mp3]]
|-
| 13
| 902.487
| [[32/19]]
| utonal major sixth
| [[File:Jid_32_19_pluck_adu_dr220.mp3]]
|-
| 14
| 996.090
| [[16/9]]
| Pythagorean minor seventh
| [[File:Jid_16_9_pluck_adu_dr220.mp3]]
|-
| 15
| 1095.045
| [[32/17]]
| septendecimal major seventh
| [[File:Jid_32_17_pluck_adu_dr220.mp3]]
|-
| 16
| 1200.000
| [[2/1]]
| octave
| [[File:Jid_2_1_pluck_adu_dr220.mp3]]
|}

== Music ==
; [[Francium]]
* [https://www.youtube.com/watch?v=xxz798pc7y8 ''Alive with Pleasure Cream Attack''] (2026)

[[Category:IFDO|##]]

16ifdo - Revision history