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== Theory ==
== Theory ==
18edo does not approximate the 3rd harmonic at all, unless an error of >30{{c}} is considered acceptable, and it approximates the 5th, 7th and 9th harmonics equally well (or equally poorly) as 12edo does. It does, however, render more accurate tunings of 7/6, 21/16, 15/11, 12/7, and 13/7. It is also the smallest edo to approximate the harmonic series chord 5:6:7 without tempering out 36/35 (and thus without using the same interval to approximate both 6/5 and 7/6).
18edo does not include the 3rd or 7th harmonics, and contains the same controversial tuning of [[5/4]] as 12edo does. It does, however, render more accurate tunings of [[7/6]], [[21/16]], [[15/11]], [[12/7]], and [[13/7]]. It is also the smallest edo to approximate the harmonic series chord 5:6:7 without tempering out 36/35 (and thus without using the same interval to approximate both 6/5 and 7/6).


In order to access the excellent consonances actually available, one must take a considerably "non-common-practice" approach, meaning to avoid the usual closed-voice "root-3rd-5th" type of chord and instead use chords which are either more compressed or more stretched out. 18edo may be treated as a temperament of the 17-limit [[k*N_subgroups|4*18 subgroup]] [[just intonation subgroup]] 2.9.75.21.55.39.51. On this subgroup it tempers out exactly the same commas as [[72edo]] does on the full [[17-limit]], and gives precisely the same tunings. The subgroup can be put into a single chord, for example 32:36:39:42:51:55:64:75 (in terms of 18edo, 0-3-5-7-12-14-18-22), and transpositions and inversions of this chord or its subchords provide plenty of harmonic resources. 18edo also approximates 12:13:14:17:23:27:29 quite well, with the least maximum relative error out of any edos ≤ 100 (the worst-approximated interval is [[23/13]], with relative error 18.36%). Hence it can be viewed as an "/3 temperament" (/3 used in the [[primodality]] sense), specifically in the 2.9.13/12.7/6.17/12.23/12.29/24 subgroup. As for more simple subgroups, 18edo can be treated as a 2.9.5.7 subgroup temperament.
In order to access the excellent consonances actually available, one must take a considerably "non-common-practice" approach, meaning to avoid the usual closed-voice "root-3rd-5th" type of chord and instead use chords which are either more compressed or more stretched out. 18edo may be treated as a temperament of the 17-limit [[k*N_subgroups|4*18 subgroup]] [[just intonation subgroup]] 2.9.75.21.55.39.51. On this subgroup it tempers out exactly the same commas as [[72edo]] does on the full [[17-limit]], and gives precisely the same tunings. The subgroup can be put into a single chord, for example 32:36:39:42:51:55:64:75 (in terms of 18edo, 0-3-5-7-12-14-18-22), and transpositions and inversions of this chord or its subchords provide plenty of harmonic resources. 18edo also approximates 12:13:14:17:23:27:29 quite well, with the least maximum relative error out of any edos ≤ 100 (the worst-approximated interval is [[23/13]], with relative error 18.36%). Hence it can be viewed as an "/3 temperament" (/3 used in the [[primodality]] sense), specifically in the 2.9.13/12.7/6.17/12.23/12.29/24 subgroup. As for more simple subgroups, 18edo can be treated as a 2.9.5.11 subgroup temperament.


However, less accurate approximations can be used, and 18edo can be treated as a 7-limit (with 3s) exotemperament with the mapping {{val| 18 29 42 51 }}. This maps 3/2 to 733.33¢, 5/4 to 400¢ and 7/4 to 1000¢; as a result, 28/27 is tempered out, and weird things happen: 9/8 and 7/6 are both mapped to 266.67¢, while 8/7 gets mapped below both of them to 200¢, making for a rather disordered 7-odd-limit tonality diamond, but hey, whatever floats your boat! This 7-limit mapping [[support]]s 7-limit [[sixix]] thus is strongly associated with 18edo's [[4L 3s]] [[mos]].  
However, less accurate approximations can be used, and 18edo can be treated as a 7-limit (with 3s) exotemperament with the mapping {{val| 18 29 42 51 }}. This maps 3/2 to 733.33{{c}}, 5/4 to 400{{c}} and 7/4 to 1000{{c}}; as a result, 28/27 is tempered out, and unintuitive things happen: 9/8 and 7/6 are both mapped to 266.67{{c}}, while 8/7 gets mapped below both of them to 200{{c}}, making for a rather disordered [[9-odd-limit]] [[tonality diamond]], although this may be serviceable for the more exotemperamental music. This 7-limit mapping [[support]]s 7-limit [[sixix]], and thus is strongly associated with 18edo's [[4L 3s]] [[mos]].  


18edo contains sub-edos [[2edo|2]], [[3edo|3]], [[6edo|6]], and [[9edo|9]], and itself is half of [[36edo]] and one-fourth of 72edo. It bears some similarities to [[13edo]] (with its very flat 4ths and nice subminor 3rds), [[11edo]] (with its very sharp minor 3rds, two of which span a very flat 5th), [[16edo]] (with its sharp 4ths and flat 5ths), and [[17edo]] and [[19edo]] (with its narrow semitone, three of which comprise a whole-tone). It is an excellent tuning for those seeking a forceful deviation from the common practice.
18edo contains sub-edos [[2edo|2]], [[3edo|3]], [[6edo|6]], and [[9edo|9]], and itself is half of [[36edo]] and one-fourth of 72edo. It bears some similarities to [[13edo]] (with its very flat 4ths and nice subminor 3rds), [[11edo]] (with its very sharp minor 3rds, two of which span a very flat 5th), [[16edo]] (with its sharp 4ths and flat 5ths), and [[17edo]] and [[19edo]] (with its narrow semitone, three of which comprise a whole-tone). It is an excellent tuning for those seeking a forceful deviation from the common practice.
18edo is the basic example of a dual-fifth system (beyond perhaps 11 or 13edo), as the sharp and flat fifths multiply to a good approximation of 9/4. By alternating these fifths, a diatonic scale (5L 1m 1s) is generated which is similar to 19edo's diatonic, but cut short by one step.


=== Odd harmonics ===
=== Odd harmonics ===
{{Harmonics in equal|18}}
{{Harmonics in equal|18}}


== Intervals ==
[[File:18-ED2-JI-approximations-2.png|alt=18-ED2-JI-approximations-2.png|18-ED2-JI-approximations-2.png|thumb]]
{| class="wikitable center-all right-2"
! Degree
! Cents
! Nearest Ratio
! Error
! 17-Limit Ratios <ref>based on the above description of 18-EDO as a 2.9.75.21.55.39.51 subgroup temperament</ref>
|-
| 0
| 0.000
| 1/1
| 0
| 1/1
|-
| 1
| 66.667
| 27/26
| +1.329
| 26/25, 25/24
|-
| 2
| 133.333
| 27/25
| +0.096
| 55/51, 14/13
|-
| 3
| 200.000
| 9/8
| -3.910
| 9/8
|-
| 4
| 266.667
| 7/6
| -0.204
| 75/64
|-
| 5
| 333.333
| 17/14 or 40/33
| -2.796 +0.293
| 39/32
|-
| 6
| 400.000
| 5/4 or 44/35
| +13.686 +3.822
| 64/55
|-
| 7
| 466.667
| 21/16
| -4.114
| 21/16
|-
| 8
| 533.333
| 15/11
| -3.617
| 34/25
|-
| 9
| 600.000
| 17/12 or 24/17
| -3.000 +3.000
| 17/12
|-
| 10
| 666.667
| 22/15
| +3.617
| 25/17
|-
| 11
| 733.333
| 32/21
| +4.114
| 32/21
|-
| 12
| 800.000
| 8/5 or 35/22
| -13.686 -3.822
| 51/32
|-
| 13
| 866.667
| 28/17 or 33/20
| +2.796 -0.293
| 64/39
|-
| 14
| 933.333
| 12/7
| +0.204
| 55/32
|-
| 15
| 1000.000
| 16/9
| +3.910
| 16/9
|-
| 16
| 1066.667
| 50/27
| -0.096
| 13/7
|-
| 17
| 1133.333
| 52/27
| -1.329
| 25/13
|-
| 18
| 1200.000
| 2/1
| 0
| 2/1**
|}
<references />
{{Clear}}
== Notation ==
== Notation ==
=== Ups and downs notation ===
=== Ups and downs notation ===
18edo can be notated with [[ups and downs]]. The notational 5th is the 2nd-best approximation of 3/2, 10\18. This is only 4¢ worse that the best approximation, which becomes the up-fifth. Using this 5th allows conventional notation to be used, including the staff, note names, relative notation, etc. There are two ways to do this:
18edo can be notated with [[ups and downs]]. The notational 5th is the 2nd-best approximation of 3/2, 10\18. This is only 4{{c}} worse that the best approximation, which becomes the up-fifth.  
 
{{Mavila}}
The first defines sharp/flat, major/minor and aug/dim in terms of the native antidiatonic scale, such that sharp is higher pitched than flat, and major/aug is wider than minor/dim, as would be expected. Because it does not follow diatonic conventions, conventional interval arithmetic no longer works, e.g. {{nowrap|M2 + M2}} isn't M3, and {{nowrap|D + M2}} isn't E. Because antidiatonic is the sister scale to diatonic, you can solve this by swapping major and minor in interval arithmetic rules. Chord names don't follow diatonic nominals because {{dash|C, E, G|med}} is not {{dash|P1, M3, P5|med}}.
 
The second approach is to essentially pretend 18edo's antidiatonic scale is a normal diatonic, meaning that sharp is lower in pitch than flat (since the "S" step is larger than the "L" step) and major/aug is narrower than minor/dim. This allows music notated in 12edo or another diatonic system to be directly translated to 18edo "on the fly", and it carries over the way interval arithmetic and chord names work from diatonic notation.
{| class="wikitable center-all right-2"
{| class="wikitable center-all right-2"
! Degree
! Degree
! Cents
! Cents
! colspan="3" | [[Ups_and_Downs_Notation|Up/down notation]] using the narrow 5th of 10\18, <br> with major wider than minor
! colspan="3" | [[Ups and downs notation|Up/down notation]] using the narrow 5th of 10\18, <br> with major wider than minor
! colspan="3" | Up/down notation using the narrow 5th of 10\18, <br> with major narrower than minor
! colspan="3" | Up/down notation using the narrow 5th of 10\18, <br> with major narrower than minor
! 5L3s Notation
! 5L3s Notation
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====Evo flavor====
====Evo flavor====


<imagemap>
{{Sagittal chart|Evo}}
File:18-EDO_Evo_Sagittal.svg
desc none
rect 80 0 300 50 [[Sagittal_notation]]
rect 463 0 623 80 [https://sagittal.org#periodic-table Periodic table of EDOs with sagittal notation]
rect 20 80 463 106 [[36-EDO#Sagittal_notation | 36-EDO notation]]
default [[File:18-EDO_Evo_Sagittal.svg]]
</imagemap>


====Revo flavor====
====Revo flavor====


<imagemap>
{{Sagittal chart}}
File:18-EDO_Revo_Sagittal.svg
desc none
rect 80 0 300 50 [[Sagittal_notation]]
rect 447 0 607 80 [https://sagittal.org#periodic-table Periodic table of EDOs with sagittal notation]
rect 20 80 447 106 [[36-EDO#Sagittal_notation | 36-EDO notation]]
default [[File:18-EDO_Revo_Sagittal.svg]]
</imagemap>
 
== Representations of JI intervals ==
{| class="wikitable center-all right-2"
! Degree
! Cents
! Nearest Ratio
! Error
! 17-Limit Ratios <ref>based on the above description of 18-EDO as a 2.9.75.21.55.39.51 subgroup temperament</ref>
|-
| 0
| 0.000
| 1/1
| 0
| 1/1
|-
| 1
| 66.667
| 27/26
| +1.329
| 78/75, 75/72
|-
| 2
| 133.333
| 27/25
| +0.096
| 51/55, 42/39
|-
| 3
| 200.000
| 9/8
| -3.910
| 9/8
|-
| 4
| 266.667
| 7/6
| -0.204
| 75/64
|-
| 5
| 333.333
| 17/14 or 40/33
| -2.796 +0.293
| 39/32
|-
| 6
| 400.000
| 5/4 or 44/35
| +13.686 +3.822
| 64/55
|-
| 7
| 466.667
| 21/16
| -4.114
| 21/16
|-
| 8
| 533.333
| 15/11
| -3.617
| 102/75
|-
| 9
| 600.000
| 17/12 or 24/17
| -3.000 +3.000
| 17/12
|-
| 10
| 666.667
| 22/15
| +3.617
| 75/51
|-
| 11
| 733.333
| 32/21
| +4.114
| 32/21
|-
| 12
| 800.000
| 8/5 or 35/22
| -13.686 -3.822
| 51/32
|-
| 13
| 866.667
| 28/17 or 33/20
| +2.796 -0.293
| 64/39
|-
| 14
| 933.333
| 12/7
| +0.204
| 55/32
|-
| 15
| 1000.000
| 16/9
| +3.910
| 16/9
|-
| 16
| 1066.667
| 50/27
| -0.096
| 39/21
|-
| 17
| 1133.333
| 52/27
| -1.329
| 75/39
|-
| 18
| 1200.000
| 2/1
| 0
| 2/1**
|}
<references />
 
[[File:18-ED2-JI-approximations-2.png|alt=18-ED2-JI-approximations-2.png|18-ED2-JI-approximations-2.png]]


== Regular temperament properties ==
== Regular temperament properties ==
=== Uniform maps ===
=== Uniform maps ===
{{Uniform map|13|17.5|18.5}}
{{Uniform map|edo=18}}


=== Commas ===
=== Commas ===
Line 524: Line 510:
|}
|}
<references/>
<references/>
== Octave stretch or compression ==
18edo's [[prime]]s 3, 5, 7 and 13 are all tuned sharp, so it can benefit from [[octave shrinking]]. Suitable shrunk versions of 18edo include [[zpi|61zpi]], [[ed12|65ed12]] and [[ed6|47ed6]].


== Scales ==
== Scales ==
Line 564: Line 553:


[[6L 6s]]: 2 1 2 1 2 1 2 1 2 1 2 1
[[6L 6s]]: 2 1 2 1 2 1 2 1 2 1 2 1
[[Werntz Nocturne scale]]: 2 1 1 2 2 1 1 2 2 1 1 2
=== Tridecatonic ===
[[5L 8s]]: 2 1 2 1 1 2 1 2 1 1 2 1 1


=== Pentadecatonic ===
=== Pentadecatonic ===


Pathological [[3L 12s]]: 2 1 1 1 1 2 1 1 1 1 2 1 1 1 1
[[3L 12s]]: 2 1 1 1 1 2 1 1 1 1 2 1 1 1 1


== Application to guitar ==
== Instruments ==
=== Guitar ===
18edo is an ideal scale for the first-time refretter, because you can retain all the even-number frets from 12-tET--essentially 1/3 of your work is done for you!
18edo is an ideal scale for the first-time refretter, because you can retain all the even-number frets from 12-tET--essentially 1/3 of your work is done for you!


The 8-note oneirotonic scale maps very simply to a 6-string guitar tuned in "reverse-standard" tuning (tune using four 466.667¢ intervals, with one 533.333¢ interval between the 2nd and 3rd strings), making for a softer learning-curve than EDOs like 14, 16, or 21 (all of which are most evenly open-tuned using a series of sharpened 4ths and a minor or neutral 3rd, and whose scales thus often require position-shifting and/or larger stretches of the hand).
The 8-note oneirotonic scale maps very simply to a 6-string guitar tuned in "reverse-standard" tuning (tune using four 466.667{{c}} intervals, with one 533.333{{c}} interval between the 2nd and 3rd strings), making for a softer learning-curve than EDOs like 14, 16, or 21 (all of which are most evenly open-tuned using a series of sharpened 4ths and a minor or neutral 3rd, and whose scales thus often require position-shifting and/or larger stretches of the hand).
 
=== Keyboards ===
[[Julián Carrillo]] built at least one third-tone piano in 18edo.
 
[[Lumatone mapping for 18edo|Lumatone mappings for 18edo]] are available.


== Music ==
== Music ==
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; {{W|Arthur Schutt}}
; {{W|Arthur Schutt}}
* [https://www.youtube.com/watch?v=mAcBBL2lkHo ''Bluin' The Black Keys''] (1926) – rendered by Francium (2025)
* [https://www.youtube.com/watch?v=mAcBBL2lkHo ''Bluin' The Black Keys''] (1926) – rendered by Francium (2025)
=== 20th century ===
; [[Ivan Wyschnegradsky]]
* [https://www.youtube.com/watch?v=gbPPYOygNJc ''Prélude et Etude'', Op. 48], for third-tone piano of [[Julián Carrillo]] (1966)


=== 21st century ===
=== 21st century ===
Line 584: Line 589:


; [[Beheld]]
; [[Beheld]]
* [https://www.youtube.com/watch?v=Nog2LROg8Ss Overstrung vibe]
* [https://www.youtube.com/watch?v=Nog2LROg8Ss ''Overstrung vibe''] (2022)
 
; [[Bryan Deister]]
* [https://www.youtube.com/shorts/-oi5eJA65Zc ''Waltz in 18edo''] (2025)
* [https://www.youtube.com/watch?v=r3FypUx_iIk ''Lament in 18edo''] (2025)
* [https://www.youtube.com/shorts/hNmse4IUWL0 ''18edo improv''] (2025)


; [[Francium]]
; [[Francium]]
* "excucumber" from ''The Decatonic Album'' (2024) – [https://open.spotify.com/track/2uSQv7MbMOKMLue2FMVU9y Spotify] | [https://francium223.bandcamp.com/track/excucumber Bandcamp] | [https://www.youtube.com/watch?v=dcOsIrQEsg4 YouTube]
* "excucumber", from ''The Decatonic Album'' (2024) – [https://open.spotify.com/track/2uSQv7MbMOKMLue2FMVU9y Spotify] | [https://francium223.bandcamp.com/track/excucumber Bandcamp] | [https://www.youtube.com/watch?v=dcOsIrQEsg4 YouTube]
 
; [[groundfault]]
* "Life and Limb", from ''Souvenirs of the Affliction'' (2025) – [https://groundfco.bandcamp.com/track/life-and-limb-18edo-2 Bandcamp] | [https://www.youtube.com/watch?v=rrjuGmmodn0&t=1751 YouTube (29:11–33:47)]


; [[Aaron Andrew Hunt]]
; [[Aaron Andrew Hunt]]
* [https://soundcloud.com/uz1kt3k/fuga-a3-in-18et Fuga a3 in 18ET]
* [https://soundcloud.com/uz1kt3k/fuga-a3-in-18et ''Fuga a3 in 18ET'']{{dead link}}


; [[Noah Jordan]]
; [[Noah Jordan]]
* [https://noahdeanjordan.bandcamp.com/album/the-moon The Moon] (18edo album recorded on the 1/3 tone piano of Sonido 13 / Julian Carrillo)
* ''The Moon'' (2016) – [https://noahdeanjordan.bandcamp.com/album/the-moon BandCamp] | [https://www.youtube.com/watch?v=TunyA3gwEJw YouTube] – 7-piece album recorded on the 1/3-tone piano of Sonido 13 / Julian Carrillo
* [https://www.youtube.com/watch?v=O36ZQyq6oR8 There and Back Again] (a 20-minute microtonal journey)
* ''There and Back Again'' (2025) – [https://noahdeanjordan.bandcamp.com/album/there-and-back-again Bandcamp] | [https://www.youtube.com/watch?v=O36ZQyq6oR8 YouTube] – 3-piece album recorded on the 1/3-tone piano of Sonido 13 / Julian Carrillo


; [[Mandrake]]
; [[Mandrake]]
* [https://www.youtube.com/watch?v=R1uz0ok4-Zs Such And Flowers]
* [https://www.youtube.com/watch?v=R1uz0ok4-Zs ''Such And Flowers''] (2022)
* [https://www.youtube.com/watch?v=2AquW_cqUQc That Kinda Lo-Fi Feel]
* [https://www.youtube.com/watch?v=2AquW_cqUQc ''That Kinda Lo-Fi Feel''] (2022)
 
; [[Leo Matarazzo]]
* [https://www.youtube.com/watch?v=G2vrqyE0ZX4 ''Eris''] (2026)


; [[Claudi Meneghin]]
; [[Claudi Meneghin]]
* [https://www.youtube.com/watch?v=vUTHZNzBwUo Air Triste]
* [https://www.youtube.com/watch?v=vUTHZNzBwUo ''Air Triste''] (2018)


; [[Herman Miller]]
; [[Herman Miller]]
* [https://soundcloud.com/morphosyntax-1/revealing-the-path Revealing the Path] (2018)
* [https://soundcloud.com/morphosyntax-1/revealing-the-path ''Revealing the Path''] (2018)


; [[Mundoworld]]
; [[Mundoworld]]
* [https://www.youtube.com/watch?v=iIaROmh7wD0 I Am the Monster I Fear]
* [https://www.youtube.com/watch?v=iIaROmh7wD0 ''I Am the Monster I Fear''] (2023)


; [[No Clue Music]]
; [[No Clue Music]]
Line 613: Line 629:


; [[norokusi]]
; [[norokusi]]
* [https://www.youtube.com/watch?v=pEvT2oyWEuo 3 Bagatelles]
* [https://www.youtube.com/watch?v=pEvT2oyWEuo ''3 Bagatelles''] (2021)


; [[NullPointerException Music]]
; [[NullPointerException Music]]
* [https://www.youtube.com/watch?v=hNgI6oRYNHA ''Three Worlds Order''] (2020)
* [https://www.youtube.com/watch?v=hNgI6oRYNHA ''Three Worlds Order''] (2020)
* [https://www.youtube.com/watch?v=FnYxYuukgrM ''Edolian - Confusion''] (2020)
* [https://www.youtube.com/watch?v=FnYxYuukgrM "Confusion"], from [https://www.youtube.com/playlist?list=PLg1YtcJbLxnwTJkG4m0BWZWxIHj7ScdNn ''Edolian''] (2020)
* [https://www.youtube.com/watch?v=1k4rNjyaZsE ''Purgatory''] (2021)
* [https://www.youtube.com/watch?v=1k4rNjyaZsE ''Purgatory''] (2021)
* [https://www.youtube.com/watch?v=a7AtOuX1NAE ''The Hydrogen Atom''] (2023)
* [https://www.youtube.com/watch?v=a7AtOuX1NAE ''The Hydrogen Atom''] (2023)


; [[Carlo Serafini]]
; [[Carlo Serafini]]
* [http://www.seraph.it/dep/det/DoAndroidsDreamof18ED2.mp3.mp3 Do Androids Dream Of 18ED2?] ([http://www.seraph.it/blog_files/fb0306486b51c270607f90a0c795d531-202.html blog entry])
* ''Do Androids Dream Of 18ED2?'' (2015) – [http://www.seraph.it/blog_files/fb0306486b51c270607f90a0c795d531-202.html blog] | [http://www.seraph.it/dep/det/DoAndroidsDreamof18ED2.mp3.mp3 play]{{dead link}}


; [[TomPrice719]]
; [[TomPrice719]]
* [https://soundcloud.com/tomprice719/composition-of-june-2015 Composition of June 2015]
* [https://soundcloud.com/tomprice719/composition-of-june-2015 ''Composition of June 2015''] (2015)


; [[Chris Vaisvil]]
; [[Chris Vaisvil]]
* [http://micro.soonlabel.com/18-ET/prelude-in-18et.mp3 Prelude in 18et], [http://chrisvaisvil.com/?p=3 composer notes]
* ''Prelude in 18et'' (2009) – [https://www.chrisvaisvil.com/prelude-in-18et/ blog] | [http://micro.soonlabel.com/18-ET/prelude-in-18et.mp3 play]
* [http://micro.soonlabel.com/18-ET/daily20110401-18c-flippertronics.mp3 Flippertronics]
* [http://micro.soonlabel.com/18-ET/daily20110401-18c-flippertronics.mp3 ''Flippertronics'']
* [http://micro.soonlabel.com/9-edo/daily20111008b_gerbils_at_the_wheel_of_government.mp3 Gerbils at the Wheel of Government] (in 9 and 18 edo simultaneously)
* [http://micro.soonlabel.com/9-edo/daily20111008b_gerbils_at_the_wheel_of_government.mp3 ''Gerbils at the Wheel of Government''] (in 9 and 18 edo simultaneously)
 
; [[Julia Werntz]], [[Eric Moe]] & the [[Pandelis Karayorgis Trio]]
* [https://driffrecords.bandcamp.com/album/climbing-to-sleep ''Climbing to Sleep''] (2025) – jazz album


; [[Xeno*n*]]
; [[Xeno*n*]]
* [https://www.youtube.com/watch?v=fj_AISfnFnY Deranged Anger]
* [https://www.youtube.com/watch?v=fj_AISfnFnY ''Deranged Anger''] (2021)


; [[David Zaydullin]]
; [[David Zaydullin]]
Line 639: Line 658:


== See also ==
== See also ==
* [[Lumatone mapping for 18edo]]
* [[Fendo family]] - temperaments closely related to 18edo
* [[Fendo family]] - temperaments closely related to 18edo


Retrieved from "https://en.xen.wiki/w/18edo"