Gallery of combination product sets: Difference between revisions

Latest revision as of 11:42, 3 June 2026

This is a gallery of combination product set (CPS) scales, as well as subsets of, mergers of, or modifications of such scales.

There are infinite possible CPS scales, so this list can never be complete. If you find a CPS scale that you like, please document it here so that people can make music with it.

See also Category:Combination product sets, which may include scales that have yet to be added to this list.

Italicised text following an em-dash beside a listed scale is a description by a wiki contributor of the subjective mood they personally feel when listening to the scale.

Pentanies (5-tone)

Main page: Pentany

4 from 1-3-5-7-11 pentany — sturdy, earthy
4 from 5-17-23-29-37 pentany — like anticipating the sunrise
4 from 5-17-23-29-41 pentany — ethereal, enchanting
4 from 5-17-23-31-41 pentany — sorrowful, warm
4 from 5-17-23-31-43 pentany — alert, tense

Hexanies (6-tone)

Main page: Hexany

In no-3s subgroups

1.n

1-5-7-11 hexany — lopsided
1-5-7-13 hexany — spicier whole tone scale
1-7-11-13 hexany — extra xenharmonic

5.n

5-7-11-13 hexany — melodically effective, contains a diminished chord

In no-5s subgroups

1.n

1-3-7-9 hexany — a detempering of the archy scale
1-3-7-11 hexany — symmetrical shape; 2 strong tonal centres
1-3-7-13 hexany — extra xenharmonic
1-3-7-21 hexany — a detempering of the semaphore scale
1-3-9-11 hexany — an even mix of xenharmonic and familiar
1-3-9-13 hexany — an even mix of xenmelodic and familiar
1-3-9-17 hexany — whole tone scale-like structure, but new unfamiliar melodies and harmonies
1-3-11-13 hexany — sounds surprisingly un-xenharmonic
1-3-21-29 hexany — fierce, groovy, dark
1-3-21-49 hexany — a detempering of the slendric scale
1-7-9-11 hexany — warped xenharmonic whole tone scale
1-7-9-13 hexany — lopsided

3.n

3-7-9-11 hexany — fresh 11-limit JI version of the augmented scale
3-7-9-13 hexany — effective both at melody and harmony
3-7-11-13 hexany — very lopsided, very xenharmonic
3-9-11-13 hexany — lopsided but with lots of useful consonances
3-9-19-31 hexany — sparkly, pretty

7.n

7-9-11-13 hexany — neat step pattern useful for melody and harmony, no 5-limit intervals - forces xenharmony

In no-7s subgroups

1.n

1-3-5-9 hexany — difficult due to wolf fifth - better as a basis for building larger scales
1-3-5-11 hexany — stable chord roots + very xenharmonic
1-3-5-13 hexany — stable chord roots + very xenharmonic
1-3-5-15 hexany — difficult to use
1-3-5-45 hexany — very useful foundation for adding xenharmonic notes on top off; can play all Zelda's ocarina melodies
1-3-5-81 hexany — built around subtle pitch shifts
1-3-5-121 hexany — built-in beating effect that could be interesting
1-3-9-135 hexany — near identical to 1-3-9-17 hexany
1-3-11-15 hexany — lopsided
1-3-13-15 hexany — lopsided
1-5-9-11 hexany — very lopsided and very xenharmonic
1-5-9-13 hexany — easy to build bihexanys with
1-5-9-15 hexany — easy to build dekanys with
1-5-11-13 hexany — an omniconsonant scale
1-5-11-15 hexany — easy to build bihexanys with
1-5-13-15 hexany — big variety of consonances useful for emotionally expressive music
1-9-11-15 hexany — very melodically effective; all the chords will be unfamiliar
1-9-11-13 hexany — better to remove one note and use as a pentatonic scale instead
1-9-13-15 hexany — lopsided
1-11-13-15 hexany — very melodically effective; all the chords will be unfamiliar
1-15-45-75 hexany — a detempering of the blues scale with sweet simple just intonation harmonies that blend well

3.n

3-5-9-11 hexany — very xenharmonic
3-5-9-13 hexany — very useful both for melody and harmony; contains good barbados intervals
3-5-9-15 hexany — too similar to 12edo to be interesting
3-5-9-25 hexany — easy to build a bihexany or stellated hexany with
3-5-9-27 hexany — useful as a teaching tool, but not for making real music
3-5-11-13 hexany — unwieldy but xenharmonically interesting
3-5-11-15 hexany — both xenharmonic yet also highly accessible - recommended for beginner microtonalists
3-5-13-15 hexany — both xenharmonic yet also highly accessible - recommended for beginner microtonalists
3-5-15-19 hexany — useful for ear training; contains a wolf fifth
3-5-15-27 hexany — a worse version of the normal major scale
3-9-11-15 hexany — unfamiliar notes
3-9-13-15 hexany — very xenharmonic melodies; easy to learn the notes and intervals - especially audibly distinct from one another
3-11-13-15 hexany — unwieldy

5.n

5-9-11-13 hexany — useful for building melodies; an even mix of familiar and xenharmonic
5-9-11-15 hexany — a detempering of the porcupine scale; nice melodies
5-9-13-15 hexany — melodically interesting but harmonically unrewarding
5-11-13-15 hexany — highly recommended; an even mix of familiar and xenharmonic

9.n

9-11-13-15 hexany — better used as a pentatonic scale by removing 1 note

In no-11s subgroups

1.n

1-3-5-7 hexany — cold, hazy
1-3-7-15 hexany — lopsided
1-5-7-9 hexany — whole tone scale-like but with a quarter tone, making it very xenharmonic
1-7-9-15 hexany — lopsided but useful for making bihexanys
1-7-13-15 hexany — useful for making bihexany versions of 10edo, which would be a type of neji

3.n

3-5-7-9 hexany — useful for melody and harmony
3-5-7-13 hexany — useful for building dekanys
3-5-7-15 hexany — the optimal configuration for maximising the number and variety of simple harmonies available in a hexatonic scale; strong melodically also
3-5-15-21 hexany — solidly rooted and consonant
3-7-9-15 hexany — big variety of chords available, both familiar and xenharmonic ones
3-7-13-15 hexany — related to the negri scale; useful for building bihexanys or dekanys
3-9-15-21 hexany — very similar to the 1-3-5-7 hexany

5.n

5-7-9-13 hexany — very xenharmonic; easy to expand to a bihexany or dekany
5-7-9-15 hexany — potential for good compositions; a detempering of the starling scale
5-7-13-15 hexany — both harmonically and melodically strong, and useful for bihexanys

7.n

7-9-13-15 hexany — useful for building bihexanys or dekanys out of

9.n

9-25-49-81 hexany — a diminished tetrad with built-in beating effects

In no-13s subgroups

1.n

1-7-11-15 hexany — a little unwieldy

3.n

3-5-7-11 hexany — very xenharmonic
3-7-9-55 hexany — creates interesting complex beating when played in the bass or sub bass range
3-7-11-15 hexany — xenharmonic but also with sweet major thirds

5.n

5-7-9-11 hexany — a neji of 6edo with an over-35 semiprime feel
5-7-9-33 hexany — though the small steps are mathematically distinct from one another, they don't sound audibly distinct
5-7-11-15 hexany — lopsided

7.n

7-9-11-15 hexany — useful for building bihexanys
7-11-17-45 hexany — dark, supernatural, metallic

27.n

27-35-47-59 hexany — like melting rainbow ice cream in the sun

In no-17s subgroups

7.n

7-11-13-15 hexany — useful for writing melody - expanding into a bihexany makes it more useful still

Not yet categorised

Dekanies (10-tone)

Main page: Dekany

In no-3s subgroups

In no-5s subgroups

1-3-7-9-11 dekany
1-3-7-11-13 dekany
1-3-9-11-13 dekany — recommended
1-3-7-9-29 dekany — recommended
1-7-9-11-13 dekany — highly unusual but not necessarily bad
3-7-9-11-13 dekany — recommended

In no-7s subgroups

1-3-5-9-11 dekany
1-3-5-9-13 dekany
1-3-5-9-81 dekany
1-3-5-11-13 dekany — recommended
1-3-5-11-15 dekany — recommended
1-3-5-13-15 dekany — recommended
1-3-9-11-15 dekany — recommended
1-3-9-13-15 dekany
1-3-11-13-15 dekany
1-5-9-11-13 dekany
1-5-9-11-15 dekany — recommended
1-5-9-13-15 dekany — recommended
1-5-11-13-15 dekany — recommended
1-9-11-13-15 dekany
3-5-9-11-13 dekany
3-5-9-11-15 dekany — recommended
3-5-9-13-15 dekany — recommended
3-5-11-13-15 dekany — recommended
3-9-11-13-15 dekany — recommended
5-9-11-13-15 dekany — recommended

In no-11s subgroups

In no-13s subgroups

1-3-5-7-11 dekany
1-3-7-11-15 dekany
1-5-7-9-11 dekany
1-5-7-11-15 dekany — recommended but extra spicy
1-7-9-11-15 dekany
3-5-7-9-11 dekany
3-5-7-11-15 dekany — recommended
3-7-9-11-15 dekany
5-7-9-11-15 dekany — recommended

In no-17s subgroups

1-7-11-13-15 dekany
3-5-7-11-13 dekany
3-7-11-13-15 dekany
5-7-11-13-15 dekany
7-9-11-13-15 dekany — recommended, but extra spicy

Related to regular temperament scales

Not yet categorised

Bihexanies (12-tone)

Main page: Bihexany

Generated by 7-odd-limit elements

Generated by 9-odd-limit elements

Generated by 11-odd-limit elements

1-3-7-9 by 11/8 bihexany
1-3-7-11 by 18/11 bihexany
1-7-9-11 by 4/3 bihexany — recommended
3-5-7-11 by 3/2 bihexany — recommended
3-5-9-11 by 5/4 bihexany

Generated by 13-odd-limit elements

1-3-5-9 by 13/9 bihexany — recommended
1-5-9-13 by 3/2 bihexany — recommended
1-7-9-13 by 4/3 bihexany
5-9-11-13 by 3/2 bihexany — recommended

Generated by 15-odd-limit elements

Higher odd-limit elements

21-odd

1-3-5-7 by 21/16 bihexany
1-3-5-7 by 40/21 bihexany
3-5-11-15 by 21/11 bihexany
3-7-13-15 by 21/13 bihexany
7-9-13-15 by 21/13 bihexany — recommended

23-odd

3-5-7-15 by 23/14 bihexany

25-odd

(none documented)

27-odd

1-5-7-15 by 32/27 bihexany
3-5-7-15 by 27/14 bihexany — recommended
3-9-13-15 by 27/26 bihexany — recommended

29-odd

5-7-9-15 by 29/18 bihexany

31-odd

(none documented)

33-odd

1-5-11-15 by 40/33 bihexany

35-odd

1-3-5-7 by 36/35 bihexany
1-3-5-7 by 48/35 bihexany
1-3-5-7 by 64/35 bihexany — recommended
1-3-7-15 by 48/35 bihexany — recommended

37-odd to 43-odd

(none documented)

45-odd

47-odd to 53-odd

(none documented)

55-odd

1-9-11-15 by 72/55 bihexany

57-odd to 61-odd

(none documented)

63-odd

1-3-5-7 by 80/63 bihexany — recommended

65-odd

3-5-11-13 by 96/65 bihexany — good for metallophone timbres like bells or Gamelan

67-odd to 97-odd

(none documented)

99-odd

1-7-13-15 by 140/99 bihexany

101-odd to 133-odd

(none documented)

135-odd

1-3-9-135 by 57/34 bihexany — recommended

Not yet categorised

Duohexanies (12-tone)

Main page: Duohexany

Stellated hexanies (14-tone)

Main page: Stellated hexany

In no-3s subgroups

1-5-7-11 stellated hexany — recommended
1-5-7-13 stellated hexany
1-5-11-13 stellated hexany
1-7-11-13 stellated hexany — recommended

In no-5s subgroups

1-3-7-9 stellated hexany
1-3-7-11 stellated hexany — recommended
1-3-7-13 stellated hexany — recommended
1-3-9-11 stellated hexany
1-3-9-13 stellated hexany — recommended
1-3-11-13 stellated hexany — recommended
1-7-9-11 stellated hexany
1-7-9-13 stellated hexany
3-7-9-11 stellated hexany — recommended
3-7-9-13 stellated hexany — recommended, but with 2 notes removed - read article
3-7-11-13 stellated hexany — recommended
3-9-11-13 stellated hexany

In no-7s subgroups

1.n

1-3-5-9 stellated hexany
1-3-5-11 stellated hexany
1-3-5-13 stellated hexany
1-3-5-15 stellated hexany — not recommended for xenharmony, but it's a good JI version of the 'Hungarian minor' scale if one wants that
1-3-9-15 stellated hexany
1-3-11-15 stellated hexany
1-3-13-15 stellated hexany — recommended but spicy
1-5-9-11 stellated hexany
1-5-9-13 stellated hexany
1-5-9-15 stellated hexany
1-5-11-15 stellated hexany
1-5-13-15 stellated hexany
1-11-13-15 stellated hexany — recommended
1-15-45-75 stellated hexany — recommended

3.n

3-5-9-11 stellated hexany — recommended
3-5-9-13 stellated hexany — recommended
3-5-9-15 stellated hexany
3-5-9-25 stellated hexany — recommended
3-5-9-27 stellated hexany
3-5-11-13 stellated hexany — recommended
3-5-11-15 stellated hexany — recommended
3-5-13-15 stellated hexany
3-9-11-15 stellated hexany — recommended
3-9-13-15 stellated hexany
3-9-25-625 stellated hexany — recommended
3-11-13-15 stellated hexany — recommended

5.n

5-9-11-13 stellated hexany
5-9-11-15 stellated hexany — recommended (rotate it)
5-9-13-15 stellated hexany — recommended with 2 steps optionally removed (see article)
5-11-13-15 stellated hexany — recommended but spicy

In no-11s subgroups

1-3-5-7 stellated hexany — recommended
1-3-7-15 stellated hexany
1-5-7-9 stellated hexany
1-5-7-15 stellated hexany
1-7-9-15 stellated hexany
1-7-13-15 stellated hexany
3-5-7-9 stellated hexany — recommended with 2 notes removed - read article
3-5-7-13 stellated hexany — recommended
3-5-7-15 stellated hexany
3-7-9-15 stellated hexany — recommended with 2 notes removed - read article
3-7-13-15 stellated hexany — recommended
3-9-15-21 stellated hexany — recommended
5-7-9-13 stellated hexany
5-7-9-15 stellated hexany — recommended (rotate it above 3/2)

In no-13s subgroups

1-7-11-15 stellated hexany
3-5-7-11 stellated hexany — recommended
3-7-11-15 stellated hexany
5-7-9-11 stellated hexany
5-7-11-15 stellated hexany — recommended

Not yet categorised

Pentadekanies (15-tone)

Main page: Pentadekany

1.3.n

1-3-5-7-9-11 pentadekany
1-3-5-7-9-13 pentadekany — recommended
1-3-5-7-9-15 pentadekany
1-3-5-7-11-13 pentadekany
1-3-5-7-11-15 pentadekany — recommended
1-3-5-7-13-15 pentadekany
1-3-5-9-11-13 pentadekany
1-3-5-9-11-15 pentadekany
1-3-5-9-13-15 pentadekany
1-3-5-11-13-15 pentadekany — recommended but only for advanced composers
1-3-7-9-11-13 pentadekany — recommended
1-3-7-9-11-15 pentadekany — recommended
1-3-7-9-13-15 pentadekany
1-3-7-11-13-15 pentadekany
1-3-9-11-13-15 pentadekany

1.5.n

1-5-7-9-11-13 pentadekany
1-5-7-9-11-15 pentadekany — recommended
1-5-7-9-13-15 pentadekany — recommended
1-5-7-11-13-15 pentadekany
1-5-9-11-13-15 pentadekany

1.7.n

1-7-9-11-13-15 pentadekany

3.5.n

3-5-7-9-11-13 pentadekany
3-5-7-9-11-15 pentadekany — recommended
3-5-7-9-13-15 pentadekany
3-5-7-11-13-15 pentadekany — recommended
3-5-9-11-13-15 pentadekany — recommended

3.7.n

3-7-9-11-13-15 pentadekany

5.7.n

5-7-9-11-13-15 pentadekany

Eikosanies (20-tone)

Main page: Eikosany

1.3.n

1.5.n

1.7.n

1-7-9-11-13-15 eikosany

3.5.n

3.7.n

3-7-9-11-13-15 eikosany

5.7.n

5-7-9-11-13-15 eikosany

Other

Eikosanyplusop

View • Talk • EditScale galleries
JI scales	12-tone JI • Combination product set • Constant structure • Harry Partch-related • Maximal harmony epimorphic • MOS transversal • Non-octave JI • Wakalix • Z-polygon transversal • Other JI Full list: Category:Just intonation scales
Tempered scales	11-tone MOS • 12-tone tempered • Chromatic pair • Clipper • Double mode • Essentially tempered • Fantasy detemper • Marvel woo • Meantone • Min ambiguity • MOS cradle • Negri-9 • Neutral third • Non-octave tempered • Scalesmith systematic • Ternary • Other tempered Full list: Category:Tempered scales
Scales in EDOs	in 10edo • 11 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 • 26 • 27 • 28 • 29 • 30 • 31 • 33 • 34 • 35 • 36 • 37 • 38 • 40 • 41 • 42 • 43 • 46 • 49 • 53 • 72 • 80
All other scale gallery pages are included in Category:Lists of scales

@@ Line 1: / Line 1: @@
 This is a gallery of [[combination product set]] (CPS) scales, as well as subsets of, mergers of, or modifications of such scales.
-There are infinite possible CPS scales, so this list can never be complete.
+There are infinite possible CPS scales, so this list can never be complete. If you find a CPS scale that you like, please document it here so that people can make music with it.
-If you find a CPS scale that you like, please document it here so that people can make music with it.
 See also [[:Category:Combination product sets]], which may include scales that have yet to be added to this list.
+''Italicised text following an em-dash beside a listed scale is a description by a wiki contributor of the subjective mood they personally feel when listening to the scale.''
-(''In brackets beside listed scales are descriptions by wiki contributors of the subjective mood they personally feel when listening to the scale.'')
 == Pentanies (5-tone) ==
@@ Line 15: / Line 12: @@
 ''Main page: [[Pentany]]''
-* [[4 from 1-3-5-7-11 pentany]] (''sturdy, earthy'')
+* [[4 from 1-3-5-7-11 pentany]] — ''sturdy, earthy''
-* [[4 from 5-17-23-29-37 pentany]] (''like anticipating the sunrise'')
+* [[4 from 5-17-23-29-37 pentany]] — ''like anticipating the sunrise''
-* [[4 from 5-17-23-29-41 pentany]] (''ethereal, enchanting'')
+* [[4 from 5-17-23-29-41 pentany]] — ''ethereal, enchanting''
-* [[4 from 5-17-23-31-41 pentany]] (''sorrowful, warm'')
+* [[4 from 5-17-23-31-41 pentany]] — ''sorrowful, warm''
-* [[4 from 5-17-23-31-43 pentany]] (''alert, tense'')
+* [[4 from 5-17-23-31-43 pentany]] — ''alert, tense''
 == Hexanies (6-tone) ==
@@ Line 26: / Line 23: @@
 === In no-3s [[subgroup]]s ===
-.n
-* [[1-5-7-11 hexany]] (''lopsided'')
-* [[1-5-7-13 hexany]] (''spicier whole tone scale'')
-* [[1-7-11-13 hexany]] (''extra [[xenharmonic]]'')
-.n
+==== 1.n ====
-* [[5-7-11-13 hexany]] (''melodically effective, contains a diminished chord'')
+* [[1-5-7-11 hexany]] — ''lopsided''
+* [[1-5-7-13 hexany]] — ''spicier whole tone scale''
+* [[1-7-11-13 hexany]] — ''extra [[xenharmonic]]''
+==== 5.n ====
+* [[5-7-11-13 hexany]] — ''melodically effective, contains a diminished chord''
 === In no-5s subgroups ===
-.n
-* [[1-3-7-9 hexany]] (''a [[detempering]] of the [[archy]] scale'')
-* [[1-3-7-11 hexany]] (''symmetrical shape; 2 strong tonal centres'')
-* [[1-3-7-13 hexany]] (''extra xenharmonic'')
-* [[1-3-7-21 hexany]] (''a [[detempering]] of the [[semaphore]] scale'')
-* [[1-3-9-11 hexany]] (''an even mix of xenharmonic and familiar'')
-* [[1-3-9-13 hexany]] (''an even mix of xenmelodic and familiar'')
-* [[1-3-9-17 hexany]] (''whole tone scale-like structure, but new unfamiliar melodies and harmonies'')
-* [[1-3-11-13 hexany]]  (''sounds surprisingly un-xenharmonic'')
-* [[:File:Hexany 1 3 21 29.png|1-3-21-29 hexany]] (''fierce, groovy, dark'')
-* [[1-3-21-49 hexany]] (''a [[detempering]] of the [[slendric]] scale'')
-* [[1-7-9-11 hexany]] (''warped xenharmonic whole tone scale'')
-* [[1-7-9-13 hexany]] (''lopsided'')
-.n
+==== 1.n ====
-* [[3-7-9-11 hexany]] (''fresh [[11-limit]] JI version of the augmented scale'')
+* [[1-3-7-9 hexany]] — ''a [[detempering]] of the [[archy]] scale''
-* [[3-7-9-13 hexany]] (''effective both at melody and harmony'')
+* [[1-3-7-11 hexany]] — ''symmetrical shape; 2 strong tonal centres''
-* [[3-7-11-13 hexany]] (''very lopsided, very xenharmonic'')
+* [[1-3-7-13 hexany]] — ''extra xenharmonic''
-* [[3-9-11-13 hexany]] (''lopsided but with lots of useful consonances'')
+* [[1-3-7-21 hexany]] — ''a [[detempering]] of the [[semaphore]] scale''
-* [[:File:Hexany 3 9 19 31.png|3-9-19-31 hexany]] (''sparkly, pretty'')
+* [[1-3-9-11 hexany]] — ''an even mix of xenharmonic and familiar''
+* [[1-3-9-13 hexany]] — ''an even mix of xenmelodic and familiar''
+* [[1-3-9-17 hexany]] — ''whole tone scale-like structure, but new unfamiliar melodies and harmonies''
+* [[1-3-11-13 hexany]] — ''sounds surprisingly un-xenharmonic''
+* [[:File:Hexany 1 3 21 29.png|1-3-21-29 hexany]] — ''fierce, groovy, dark''
+* [[1-3-21-49 hexany]] — ''a [[detempering]] of the [[slendric]] scale''
+* [[1-7-9-11 hexany]] — ''warped xenharmonic whole tone scale''
+* [[1-7-9-13 hexany]] — ''lopsided''
-.n
+==== 3.n ====
-* [[7-9-11-13 hexany]] (''neat step pattern useful for melody and harmony, no [[5-limit]] intervals - forces xenharmony'')
+* [[3-7-9-11 hexany]] — ''fresh [[11-limit]] JI version of the augmented scale''
+* [[3-7-9-13 hexany]] — ''effective both at melody and harmony''
+* [[3-7-11-13 hexany]] — ''very lopsided, very xenharmonic''
+* [[3-9-11-13 hexany]] — ''lopsided but with lots of useful consonances''
+* [[:File:Hexany 3 9 19 31.png|3-9-19-31 hexany]] — ''sparkly, pretty''
+==== 7.n ====
+* [[7-9-11-13 hexany]] — ''neat step pattern useful for melody and harmony, no [[5-limit]] intervals - forces xenharmony''
 === In no-7s subgroups ===
-.n
-* [[1-3-5-9 hexany]] (''difficult due to [[wolf interval|wolf fifth]] - better as a basis for building larger scales'')
-* [[1-3-5-11 hexany]] (''stable chord roots + very xenharmonic'')
-* [[1-3-5-13 hexany]] (''stable chord roots + very xenharmonic'')
-* [[1-3-5-15 hexany]] (''difficult to use'')
-* [[1-3-5-45 hexany]] (''very useful foundation for adding xenharmonic notes on top off; can play all ''Zelda'''s ocarina melodies'')
-* [[1-3-5-81 hexany]] (''built around subtle pitch shifts'')
-* [[1-3-5-121 hexany]] (''built-in beating effect that could be interesting'')
-* [[1-3-9-135 hexany]] (''near identical to [[1-3-9-17 hexany]]'')
-* [[1-3-11-15 hexany]] (''lopsided'')
-* [[1-3-13-15 hexany]] (''lopsided'')
-* [[1-5-9-11 hexany]] (''very lopsided and very xenharmonic'')
-* [[1-5-9-13 hexany]] (''easy to build [[bihexany]]s with'')
-* [[1-5-9-15 hexany]] (''easy to build [[dekany]]s with'')
-* [[1-5-11-13 hexany]] (''an [[omniconsonant scale]]'')
-* [[1-5-11-15 hexany]] (''easy to build [[bihexany]]s with'')
-* [[1-5-13-15 hexany]] (''big variety of consonances useful for emotionally expressive music'')
-* [[1-9-11-15 hexany]] (''very melodically effective; all the chords will be unfamiliar'')
-* [[1-9-11-13 hexany]] (''better to remove one note and use as a [[pentatonic]] scale instead'')
-* [[1-9-13-15 hexany]] (''lopsided'')
-* [[1-11-13-15 hexany]] (''very melodically effective; all the chords will be unfamiliar'')
-* [[1-15-45-75 hexany]] (''a [[detempering]] of the blues scale with sweet simple [[just intonation]] harmonies that blend well'')
-.n
+==== 1.n ====
-* [[3-5-9-11 hexany]] (''very xenharmonic'')
+* [[1-3-5-9 hexany]] — ''difficult due to [[wolf interval|wolf fifth]] - better as a basis for building larger scales''
-* [[3-5-9-13 hexany]] (''very useful both for melody and harmony; contains good [[barbados]] intervals'')
+* [[1-3-5-11 hexany]] — ''stable chord roots + very xenharmonic''
-* [[3-5-9-15 hexany]] (''too similar to [[12edo]] to be interesting'')
+* [[1-3-5-13 hexany]] — ''stable chord roots + very xenharmonic''
-* [[3-5-9-25 hexany]] (''easy to build a [[bihexany]] or [[stellated hexany]] with'')
+* [[1-3-5-15 hexany]] — ''difficult to use''
-* [[3-5-9-27 hexany]] (''useful as a teaching tool, but not for making real music'')
+* [[1-3-5-45 hexany]] — ''very useful foundation for adding xenharmonic notes on top off; can play all ''Zelda'''s ocarina melodies''
-* [[3-5-11-13 hexany]] (''unwieldy but xenharmonically interesting'')
+* [[1-3-5-81 hexany]] — ''built around subtle pitch shifts''
-* [[3-5-11-15 hexany]] (''both xenharmonic yet also highly accessible - recommended for beginner microtonalists'')
+* [[1-3-5-121 hexany]] — ''built-in beating effect that could be interesting''
-* [[3-5-13-15 hexany]] (''both xenharmonic yet also highly accessible - recommended for beginner microtonalists'')
+* [[1-3-9-135 hexany]] — ''near identical to [[1-3-9-17 hexany]]''
-* [[3-5-15-19 hexany]] (''useful for ear training; contains a [[wolf interval|wolf fifth]]'')
+* [[1-3-11-15 hexany]] — ''lopsided''
-* [[3-5-15-27 hexany]] (''a worse version of the normal major scale'')
+* [[1-3-13-15 hexany]] — ''lopsided''
-* [[3-9-11-15 hexany]] (''unfamiliar notes'')
+* [[1-5-9-11 hexany]] — ''very lopsided and very xenharmonic''
-* [[3-9-13-15 hexany]] (''very xenharmonic melodies; easy to learn the notes and intervals - especially audibly distinct from one another'')
+* [[1-5-9-13 hexany]] — ''easy to build [[bihexany]]s with''
-* [[3-11-13-15 hexany]] (''unwieldy'')
+* [[1-5-9-15 hexany]] — ''easy to build [[dekany]]s with''
+* [[1-5-11-13 hexany]] — ''an [[omniconsonant scale]]''
+* [[1-5-11-15 hexany]] — ''easy to build [[bihexany]]s with''
+* [[1-5-13-15 hexany]] — ''big variety of consonances useful for emotionally expressive music''
+* [[1-9-11-15 hexany]] — ''very melodically effective; all the chords will be unfamiliar''
+* [[1-9-11-13 hexany]] — ''better to remove one note and use as a [[pentatonic]] scale instead''
+* [[1-9-13-15 hexany]] — ''lopsided''
+* [[1-11-13-15 hexany]] — ''very melodically effective; all the chords will be unfamiliar''
+* [[1-15-45-75 hexany]] — ''a [[detempering]] of the blues scale with sweet simple [[just intonation]] harmonies that blend well''
+==== 3.n ====
+* [[3-5-9-11 hexany]] — ''very xenharmonic''
+* [[3-5-9-13 hexany]] — ''very useful both for melody and harmony; contains good [[barbados]] intervals''
+* [[3-5-9-15 hexany]] — ''too similar to [[12edo]] to be interesting''
+* [[3-5-9-25 hexany]] — ''easy to build a [[bihexany]] or [[stellated hexany]] with''
+* [[3-5-9-27 hexany]] — ''useful as a teaching tool, but not for making real music''
+* [[3-5-11-13 hexany]] — ''unwieldy but xenharmonically interesting''
+* [[3-5-11-15 hexany]] — ''both xenharmonic yet also highly accessible - recommended for beginner microtonalists''
+* [[3-5-13-15 hexany]] — ''both xenharmonic yet also highly accessible - recommended for beginner microtonalists''
+* [[3-5-15-19 hexany]] — ''useful for ear training; contains a [[wolf interval|wolf fifth]]''
+* [[3-5-15-27 hexany]] — ''a worse version of the normal major scale''
+* [[3-9-11-15 hexany]] — ''unfamiliar notes''
+* [[3-9-13-15 hexany]] — ''very xenharmonic melodies; easy to learn the notes and intervals - especially audibly distinct from one another''
+* [[3-11-13-15 hexany]] — ''unwieldy''
-.n
+==== 5.n ====
-* [[5-9-11-13 hexany]] (''useful for building melodies; an even mix of familiar and xenharmonic'')
+* [[5-9-11-13 hexany]] — ''useful for building melodies; an even mix of familiar and xenharmonic''
-* [[5-9-11-15 hexany]] (''a [[detempering]] of the [[porcupine]] scale; nice melodies'')
+* [[5-9-11-15 hexany]] — ''a [[detempering]] of the [[porcupine]] scale; nice melodies''
-* [[5-9-13-15 hexany]] (''melodically interesting but harmonically unrewarding'')
+* [[5-9-13-15 hexany]] — ''melodically interesting but harmonically unrewarding''
-* [[5-11-13-15 hexany]] (''highly recommended; an even mix of familiar and xenharmonic'')
+* [[5-11-13-15 hexany]] — ''highly recommended; an even mix of familiar and xenharmonic''
-.n
+==== 9.n ====
-* [[9-11-13-15 hexany]] (''better used as a [[pentatonic]] scale by removing 1 note'')
+* [[9-11-13-15 hexany]] — ''better used as a [[pentatonic]] scale by removing 1 note''
 === In no-11s subgroups ===
-.n
-* [[1-3-5-7 hexany]] (''cold, hazy'')
-* [[1-3-7-15 hexany]] (''lopsided'')
-* [[1-5-7-9 hexany]] (''whole tone scale-like but with a [[quarter tone]], making it very xenharmonic'')
-* [[1-7-9-15 hexany]] (''lopsided but useful for making [[bihexany]]s'')
-* [[1-7-13-15 hexany]] (''useful for making [[bihexany]] versions of [[10edo]], which would be a type of [[neji]]'')
-.n
+==== 1.n ====
-* [[3-5-7-9 hexany]] (''useful for melody and harmony'')
+* [[1-3-5-7 hexany]] — ''cold, hazy''
-* [[3-5-7-13 hexany]] (''useful for building [[dekany]]s'')
+* [[1-3-7-15 hexany]] — ''lopsided''
-* [[3-5-7-15 hexany]] (''the optimal configuration for maximising the number and variety of simple harmonies available in a hexatonic scale; strong melodically also'')
+* [[1-5-7-9 hexany]] — ''whole tone scale-like but with a [[quarter tone]], making it very xenharmonic''
-* [[3-5-15-21 hexany]] (''solidly rooted and consonant'')
+* [[1-7-9-15 hexany]] — ''lopsided but useful for making [[bihexany]]s''
-* [[3-7-9-15 hexany]] (''big variety of chords available, both familiar and xenharmonic ones'')
+* [[1-7-13-15 hexany]] — ''useful for making [[bihexany]] versions of [[10edo]], which would be a type of [[neji]]''
-* [[3-7-13-15 hexany]] (''related to the [[negri]] scale; useful for building [[bihexany]]s or [[dekany]]s'')
-* [[3-9-15-21 hexany]] (''very similar to the [[1-3-5-7 hexany]]'')
+==== 3.n ====
+* [[3-5-7-9 hexany]] — ''useful for melody and harmony''
+* [[3-5-7-13 hexany]] — ''useful for building [[dekany]]s''
+* [[3-5-7-15 hexany]] — ''the optimal configuration for maximising the number and variety of simple harmonies available in a hexatonic scale; strong melodically also''
+* [[3-5-15-21 hexany]] — ''solidly rooted and consonant''
+* [[3-7-9-15 hexany]] — ''big variety of chords available, both familiar and xenharmonic ones''
+* [[3-7-13-15 hexany]] — ''related to the [[negri]] scale; useful for building [[bihexany]]s or [[dekany]]s''
+* [[3-9-15-21 hexany]] — ''very similar to the [[1-3-5-7 hexany]]''
-.n
+==== 5.n ====
-* [[5-7-9-13 hexany]] (''very xenharmonic; easy to expand to a [[bihexany]] or [[dekany]]'')
+* [[5-7-9-13 hexany]] — ''very xenharmonic; easy to expand to a [[bihexany]] or [[dekany]]''
-* [[5-7-9-15 hexany]] (''potential for good compositions; a [[detempering]] of the [[starling]] scale'')
+* [[5-7-9-15 hexany]] — ''potential for good compositions; a [[detempering]] of the [[starling]] scale''
-* [[5-7-13-15 hexany]] (''both harmonically and melodically strong, and useful for [[bihexany]]s'')
+* [[5-7-13-15 hexany]] — ''both harmonically and melodically strong, and useful for [[bihexany]]s''
-.n
+==== 7.n ====
-* [[7-9-13-15 hexany]] (''useful for building [[bihexany]]s or [[dekany]]s out of'')
+* [[7-9-13-15 hexany]] — ''useful for building [[bihexany]]s or [[dekany]]s out of''
-.n
+==== 9.n ====
-* [[9-25-49-81 hexany]] (''a diminished tetrad with built-in beating effects)
+* [[9-25-49-81 hexany]] — ''a diminished tetrad with built-in beating effects''
 === In no-13s subgroups ===
-.n
-* [[1-7-11-15 hexany]] (''a little unwieldy'')
-.n
+==== 1.n ====
-* [[3-5-7-11 hexany]] (''very xenharmonic'')
+* [[1-7-11-15 hexany]] — ''a little unwieldy''
-* [[3-7-9-55 hexany]] (''creates interesting complex beating when played in the bass or sub bass range'')
-* [[3-7-11-15 hexany]] (''xenharmonic but also with sweet major thirds'')
-.n
+==== 3.n ====
-* [[5-7-9-11 hexany]] (''a [[neji]] of [[6edo]] with an [[primodality|over-35 semiprime]] feel'')
+* [[3-5-7-11 hexany]] — ''very xenharmonic''
-* [[5-7-9-33 hexany]] (''though the small steps are mathematically distinct from one another, they don't sound audibly distinct'')
+* [[3-7-9-55 hexany]] — ''creates interesting complex beating when played in the bass or sub bass range''
-* [[5-7-11-15 hexany]] (''lopsided'')
+* [[3-7-11-15 hexany]] — ''xenharmonic but also with sweet major thirds''
-.n
+==== 5.n ====
-* [[7-9-11-15 hexany]] (''useful for building [[bihexany]]s'')
+* [[5-7-9-11 hexany]] — ''a [[neji]] of [[6edo]] with an [[primodality|over-35 semiprime]] feel''
-* [[:File:Hexany 7 11 17 45 cents.png|7-11-17-45 hexany]] (''dark, supernatural, metallic'')
+* [[5-7-9-33 hexany]] — ''though the small steps are mathematically distinct from one another, they don't sound audibly distinct''
+* [[5-7-11-15 hexany]] — ''lopsided''
-.n
+==== 7.n ====
-* [[:File:Hexany 27 35 47 59 cents.png|27-35-47-59 hexany]] (''like melting rainbow ice cream in the sun'')
+* [[7-9-11-15 hexany]] — ''useful for building [[bihexany]]s''
+* [[:File:Hexany 7 11 17 45 cents.png|7-11-17-45 hexany]] — ''dark, supernatural, metallic''
+==== 27.n ====
+* [[:File:Hexany 27 35 47 59 cents.png|27-35-47-59 hexany]] — ''like melting rainbow ice cream in the sun''
 === In no-17s subgroups ===
-.n
-* [[7-11-13-15 hexany]] (useful for writing melody - expanding into a [[bihexany]] makes it more useful still)
+==== 7.n ====
+* [[7-11-13-15 hexany]] — ''useful for writing melody - expanding into a [[bihexany]] makes it more useful still''
 === Not yet categorised ===
@@ Line 185: / Line 188: @@
 * [[1-3-7-9-11 dekany]]
 * [[1-3-7-11-13 dekany]]
-* [[1-3-9-11-13 dekany]]
+* [[1-3-9-11-13 dekany]] — ''recommended''
-* [[1-3-7-9-29 dekany]]
+* [[1-3-7-9-29 dekany]] — ''recommended''
-* [[1-7-9-11-13 dekany]]
+* [[1-7-9-11-13 dekany]] — ''highly unusual but not necessarily bad''
-* [[3-7-9-11-13 dekany]]
+* [[3-7-9-11-13 dekany]] — ''recommended''
 === In no-7s subgroups ===
@@ Line 194: / Line 197: @@
 * [[1-3-5-9-13 dekany]]
 * [[1-3-5-9-81 dekany]]
-* [[1-3-5-11-13 dekany]]
+* [[1-3-5-11-13 dekany]] — ''recommended''
-* [[1-3-5-11-15 dekany]]
+* [[1-3-5-11-15 dekany]] — ''recommended''
-* [[1-3-5-13-15 dekany]]
+* [[1-3-5-13-15 dekany]] — ''recommended''
-* [[1-3-9-11-15 dekany]]
+* [[1-3-9-11-15 dekany]] — ''recommended''
 * [[1-3-9-13-15 dekany]]
 * [[1-3-11-13-15 dekany]]
 * [[1-5-9-11-13 dekany]]
-* [[1-5-9-11-15 dekany]]
+* [[1-5-9-11-15 dekany]] — ''recommended''
-* [[1-5-9-13-15 dekany]]
+* [[1-5-9-13-15 dekany]] — ''recommended''
-* [[1-5-11-13-15 dekany]]
+* [[1-5-11-13-15 dekany]] — ''recommended''
 * [[1-9-11-13-15 dekany]]
 * [[3-5-9-11-13 dekany]]
-* [[3-5-9-11-15 dekany]]
+* [[3-5-9-11-15 dekany]] — ''recommended''
-* [[3-5-9-13-15 dekany]]
+* [[3-5-9-13-15 dekany]] — ''recommended''
-* [[3-5-11-13-15 dekany]]
+* [[3-5-11-13-15 dekany]] — ''recommended''
-* [[3-9-11-13-15 dekany]]
+* [[3-9-11-13-15 dekany]] — ''recommended''
-* [[5-9-11-13-15 dekany]]
+* [[5-9-11-13-15 dekany]] — ''recommended''
 === In no-11s subgroups ===
 * [[1-3-5-7-9 dekany]]
 * [[1-3-5-7-13 dekany]]
-* [[1-3-5-7-15 dekany]]
+* [[1-3-5-7-15 dekany]] — ''recommended''
 * [[1-3-5-9-15 dekany]]
-* [[1-3-7-9-13 dekany]]
+* [[1-3-7-9-13 dekany]] — ''recommended''
 * [[1-3-7-9-15 dekany]]
 * [[1-3-7-13-15 dekany]]
-* [[1-5-7-9-13 dekany]]
+* [[1-5-7-9-13 dekany]] — ''recommended''
 * [[1-5-7-9-15 dekany]]
-* [[1-5-7-13-15 dekany]]
+* [[1-5-7-13-15 dekany]] — ''recommended''
 * [[1-7-9-13-15 dekany]]
 * [[3-5-7-9-13 dekany]]
-* [[3-5-7-9-15 dekany]]
+* [[3-5-7-9-15 dekany]] — ''recommended''
-* [[3-5-7-13-15 dekany]]
+* [[3-5-7-13-15 dekany]] — ''recommended''
-* [[3-7-9-13-15 dekany]]
+* [[3-7-9-13-15 dekany]] — ''recommended''
 * [[5-7-9-13-15 dekany]]
@@ Line 234: / Line 237: @@
 * [[1-3-7-11-15 dekany]]
 * [[1-5-7-9-11 dekany]]
-* [[1-5-7-11-15 dekany]]
+* [[1-5-7-11-15 dekany]] — ''recommended but extra spicy''
 * [[1-7-9-11-15 dekany]]
 * [[3-5-7-9-11 dekany]]
-* [[3-5-7-11-15 dekany]]
+* [[3-5-7-11-15 dekany]] — ''recommended''
 * [[3-7-9-11-15 dekany]]
-* [[5-7-9-11-15 dekany]]
+* [[5-7-9-11-15 dekany]] — ''recommended''
 === In no-17s subgroups ===
@@ Line 246: / Line 249: @@
 * [[3-7-11-13-15 dekany]]
 * [[5-7-11-13-15 dekany]]
-* [[7-9-11-13-15 dekany]]
+* [[7-9-11-13-15 dekany]] — ''recommended, but extra spicy''
 === Related to [[regular temperament]] scales ===
@@ Line 282: / Line 285: @@
 == Bihexanies (12-tone) ==
+[[Category:12-tone scales]]
 ''Main page: [[Bihexany]]''
-[[Category:12-tone scales]]
 === Generated by 7-odd-limit elements ===
@@ Line 297: / Line 300: @@
 * [[1-3-5-7 by 9/8 bihexany]]
 * [[1-3-5-9 by 7/5 bihexany]]
-* [[1-3-7-9 by 5/4 bihexany]]
+* [[1-3-7-9 by 5/4 bihexany]] — ''recommended''
 * [[1-5-7-9 by 4/3 bihexany]]
-* [[3-5-7-9 by 5/4 bihexany]]
+* [[3-5-7-9 by 5/4 bihexany]] — ''recommended''
 === Generated by 11-odd-limit elements ===
 * [[1-3-7-9 by 11/8 bihexany]]
 * [[1-3-7-11 by 18/11 bihexany]]
-* [[1-7-9-11 by 4/3 bihexany]]
+* [[1-7-9-11 by 4/3 bihexany]] — ''recommended''
-* [[3-5-7-11 by 3/2 bihexany]]
+* [[3-5-7-11 by 3/2 bihexany]] — ''recommended''
 * [[3-5-9-11 by 5/4 bihexany]]
 === Generated by 13-odd-limit elements ===
-* [[1-3-5-9 by 13/9 bihexany]]
+* [[1-3-5-9 by 13/9 bihexany]] — ''recommended''
-* [[1-5-9-13 by 3/2 bihexany]]
+* [[1-5-9-13 by 3/2 bihexany]] — ''recommended''
 * [[1-7-9-13 by 4/3 bihexany]]
-* [[5-9-11-13 by 3/2 bihexany]]
+* [[5-9-11-13 by 3/2 bihexany]] — ''recommended''
 === Generated by 15-odd-limit elements ===
-No-7s
-* [[1-3-5-13 by 18/13 bihexany]]
+==== No-7s ====
+* [[1-3-5-13 by 18/13 bihexany]] — ''recommended''
 * [[1-3-9-15 by 11/8 bihexany]]
 * [[1-3-11-15 by 6/5 bihexany]]
-* [[1-3-13-15 by 18/13 bihexany]]
+* [[1-3-13-15 by 18/13 bihexany]] — ''recommended''
 * [[1-5-11-15 by 6/5 bihexany]]
 * [[1-5-13-15 by 16/9 bihexany]]
@@ Line 329: / Line 333: @@
 * [[5-9-11-15 by 5/4 bihexany]]
 * [[5-9-11-15 by 15/13 bihexany]]
-* [[5-9-13-15 by 5/4 bihexany]]
+* [[5-9-13-15 by 5/4 bihexany]] — ''recommended''
 * [[5-11-13-15 by 11/9 bihexany]]
 * [[9-11-13-15 by 3/2 bihexany]]
-* [[9-11-13-15 by 33/26 bihexany]]
+* [[9-11-13-15 by 33/26 bihexany]] — ''recommended''
-No-11s
+==== No-11s ====
-* [[1-3-5-7 by 15/14 bihexany]]
+* [[1-3-5-7 by 15/14 bihexany]] — ''recommended''
 * [[1-3-5-7 by 16/15 bihexany]]
 * [[1-3-7-15 by 6/5 bihexany]]
-* [[1-3-7-15 by 9/7 bihexany]]
+* [[1-3-7-15 by 9/7 bihexany]] — ''recommended''
 * [[1-3-9-15 by 7/6 bihexany]]
 * [[1-5-7-15 by 6/5 bihexany]]
-* [[1-7-9-15 by 4/3 bihexany]]
+* [[1-7-9-15 by 4/3 bihexany]] — ''recommended''
 * [[1-7-9-15 by 7/5 bihexany]]
-* [[1-7-13-15 by 7/5 bihexany]]
+* [[1-7-13-15 by 7/5 bihexany]] — ''recommended''
 * [[3-5-7-15 by 9/5 bihexany]]
 * [[3-5-7-15 by 9/8 bihexany]]
 * [[3-7-13-15 by 4/3 bihexany]]
 * [[3-7-13-15 by 7/5 bihexany]]
-* [[5-7-9-15 by 5/4 bihexany]]
+* [[5-7-9-15 by 5/4 bihexany]] — ''recommended''
 * [[5-7-9-15 by 7/4 bihexany]]
 * [[5-7-9-15 by 9/8 bihexany]]
@@ Line 354: / Line 358: @@
 * [[5-7-13-15 by 22/13 bihexany]]
-No-13s
+==== No-13s ====
 * [[3-5-7-15 by 11/7 bihexany]]
-* [[3-7-11-15 by 7/5 bihexany]]
+* [[3-7-11-15 by 7/5 bihexany]] — ''recommended''
 * [[5-7-9-15 by 11/9 bihexany]]
 * [[5-7-11-15 by 18/11 bihexany]]
 * [[7-9-11-15 by 3/2 bihexany]]
-No-17s
+==== No-17s ====
 * [[7-11-13-15 by 7/5 bihexany]]
 === Generated by 17-odd-limit elements ===
-* [[1-3-5-9 by 17/12 bihexany]]
+* [[1-3-5-9 by 17/12 bihexany]] — ''recommended''
 * [[1-5-9-15 by 17/12 bihexany]]
 * [[3-5-7-15 by 17/14 bihexany]]
@@ Line 372: / Line 376: @@
 === Generated by 19-odd-limit elements ===
-* [[1-3-9-17 by 19/16 bihexany]]
+* [[1-3-9-17 by 19/16 bihexany]] — ''recommended''
 * [[3-5-15-19 by 9/8 bihexany]]
 * [[3-5-7-15 by 19/14 bihexany]]
 * [[3-5-13-15 by 19/17 bihexany]]
-* [[3-7-9-15 by 19/17 bihexany]]
+* [[3-7-9-15 by 19/17 bihexany]] — ''recommended''
 === Higher odd-limit elements ===
--odd
+==== 21-odd ====
 * [[1-3-5-7 by 21/16 bihexany]]
 * [[1-3-5-7 by 40/21 bihexany]]
 * [[3-5-11-15 by 21/11 bihexany]]
 * [[3-7-13-15 by 21/13 bihexany]]
-* [[7-9-13-15 by 21/13 bihexany]]
+* [[7-9-13-15 by 21/13 bihexany]] — ''recommended''
--odd
+==== 23-odd ====
 * [[3-5-7-15 by 23/14 bihexany]]
--odd<br>
--odd
+==== 25-odd ====
+''(none documented)''
+==== 27-odd ====
 * [[1-5-7-15 by 32/27 bihexany]]
-* [[3-5-7-15 by 27/14 bihexany]]
+* [[3-5-7-15 by 27/14 bihexany]] — ''recommended''
-* [[3-9-13-15 by 27/26 bihexany]]
+* [[3-9-13-15 by 27/26 bihexany]] — ''recommended''
--odd
+==== 29-odd ====
 * [[5-7-9-15 by 29/18 bihexany]]
--odd<br>
--odd
+==== 31-odd ====
+''(none documented)''
+==== 33-odd ====
 * [[1-5-11-15 by 40/33 bihexany]]
--odd
+==== 35-odd ====
 * [[1-3-5-7 by 36/35 bihexany]]
 * [[1-3-5-7 by 48/35 bihexany]]
-* [[1-3-5-7 by 64/35 bihexany]]
+* [[1-3-5-7 by 64/35 bihexany]] — ''recommended''
-* [[1-3-7-15 by 48/35 bihexany]]
+* [[1-3-7-15 by 48/35 bihexany]] — ''recommended''
-...43<br>
--odd
+==== 37-odd to 43-odd ====
+''(none documented)''
+==== 45-odd ====
 * [[1-3-5-7 by 56/45 bihexany]]
 * [[1-3-5-9 by 64/45 bihexany]]
 * [[1-5-9-15 by 64/45 bihexany]]
 * [[3-5-7-15 by 45/28 bihexany]]
-...53<br>
--odd
+==== 47-odd to 53-odd ====
+''(none documented)''
+==== 55-odd ====
 * [[1-9-11-15 by 72/55 bihexany]]
-...61<br>
--odd
+==== 57-odd to 61-odd ====
-* [[1-3-5-7 by 80/63 bihexany]]
+''(none documented)''
--odd
-* [[3-5-11-13 by 96/65 bihexany]]
+==== 63-odd ====
-...97<br>
+* [[1-3-5-7 by 80/63 bihexany]] — ''recommended''
--odd
+==== 65-odd ====
+* [[3-5-11-13 by 96/65 bihexany]] — ''good for metallophone timbres like bells or Gamelan''
+==== 67-odd to 97-odd ====
+''(none documented)''
+==== 99-odd ====
 * [[1-7-13-15 by 140/99 bihexany]]
-...133<br>
--odd
+==== 101-odd to 133-odd ====
-* [[1-3-9-135 by 57/34 bihexany]]
+''(none documented)''
+==== 135-odd ====
+* [[1-3-9-135 by 57/34 bihexany]] — ''recommended''
 === Not yet categorised ===
@@ Line 428: / Line 458: @@
 == Duohexanies (12-tone) ==
+[[Category:12-tone scales]]
 ''Main page: [[Duohexany]]''
-[[Category:12-tone scales]]
 * [[Duohex]]
@@ Line 437: / Line 467: @@
 == Stellated hexanies (14-tone) ==
+[[Category:14-tone scales]]
 ''Main page: [[Stellated hexany]]''
-[[Category:14-tone scales]]
 === In no-3s subgroups ===
+* [[1-5-7-11 stellated hexany]] — ''recommended''
+* [[1-5-7-13 stellated hexany]]
+* [[1-5-11-13 stellated hexany]]
+* [[1-7-11-13 stellated hexany]] — ''recommended''
 === In no-5s subgroups ===
 * [[1-3-7-9 stellated hexany]]
-* [[1-3-7-11 stellated hexany]]
+* [[1-3-7-11 stellated hexany]] — ''recommended''
-* [[1-3-7-13 stellated hexany]]
+* [[1-3-7-13 stellated hexany]] — ''recommended''
 * [[1-3-9-11 stellated hexany]]
-* [[1-3-9-13 stellated hexany]]
+* [[1-3-9-13 stellated hexany]] — ''recommended''
-* [[1-3-11-13 stellated hexany]]
+* [[1-3-11-13 stellated hexany]] — ''recommended''
+* [[1-7-9-11 stellated hexany]]
+* [[1-7-9-13 stellated hexany]]
+* [[3-7-9-11 stellated hexany]] — ''recommended''
+* [[3-7-9-13 stellated hexany]] — ''recommended, but with 2 notes removed - read article''
+* [[3-7-11-13 stellated hexany]] — ''recommended''
+* [[3-9-11-13 stellated hexany]]
 === In no-7s subgroups ===
+==== 1.n ====
 * [[1-3-5-9 stellated hexany]]
 * [[1-3-5-11 stellated hexany]]
 * [[1-3-5-13 stellated hexany]]
-* [[1-3-5-15 stellated hexany]]
+* [[1-3-5-15 stellated hexany]] — ''not recommended for xenharmony, but it's a good JI version of the 'Hungarian minor' scale if one wants that''
 * [[1-3-9-15 stellated hexany]]
-=== In no-11s subgroups ===
-* [[1-3-5-7 stellated hexany]]
-* [[1-3-7-15 stellated hexany]]
-=== In no-13s subgroups ===
-=== Unsorted ===
 * [[1-3-11-15 stellated hexany]]
-* [[1-3-13-15 stellated hexany]]
+* [[1-3-13-15 stellated hexany]] — ''recommended but spicy''
-* [[1-5-7-9 stellated hexany]]
-* [[1-5-7-11 stellated hexany]]
-* [[1-5-7-13 stellated hexany]]
-* [[1-5-7-15 stellated hexany]]
 * [[1-5-9-11 stellated hexany]]
 * [[1-5-9-13 stellated hexany]]
 * [[1-5-9-15 stellated hexany]]
-* [[1-5-11-13 stellated hexany]]
 * [[1-5-11-15 stellated hexany]]
 * [[1-5-13-15 stellated hexany]]
-* [[1-7-9-11 stellated hexany]]
+* [[1-11-13-15 stellated hexany]]  — ''recommended''
-* [[1-7-9-13 stellated hexany]]
+* [[1-15-45-75 stellated hexany]] — ''recommended''
+==== 3.n ====
+* [[3-5-9-11 stellated hexany]] — ''recommended''
+* [[3-5-9-13 stellated hexany]] — ''recommended''
+* [[3-5-9-15 stellated hexany]]
+* [[3-5-9-25 stellated hexany]] — ''recommended''
+* [[3-5-9-27 stellated hexany]]
+* [[3-5-11-13 stellated hexany]] — ''recommended''
+* [[3-5-11-15 stellated hexany]] — ''recommended''
+* [[3-5-13-15 stellated hexany]]
+* [[3-9-11-15 stellated hexany]] — ''recommended''
+* [[3-9-13-15 stellated hexany]]
+* [[3-9-25-625 stellated hexany]] — ''recommended''
+* [[3-11-13-15 stellated hexany]] — ''recommended''
+==== 5.n ====
+* [[5-9-11-13 stellated hexany]]
+* [[5-9-11-15 stellated hexany]] — ''recommended (rotate it)''
+* [[5-9-13-15 stellated hexany]] — ''recommended with 2 steps optionally removed (see article)''
+* [[5-11-13-15 stellated hexany]] — ''recommended but spicy''
+=== In no-11s subgroups ===
+* [[1-3-5-7 stellated hexany]] — ''recommended''
+* [[1-3-7-15 stellated hexany]]
+* [[1-5-7-9 stellated hexany]]
+* [[1-5-7-15 stellated hexany]]
 * [[1-7-9-15 stellated hexany]]
-* [[1-7-11-13 stellated hexany]]
-* [[1-7-11-15 stellated hexany]]
 * [[1-7-13-15 stellated hexany]]
-* [[1-15-45-75 stellated hexany]]
+* [[3-5-7-9 stellated hexany]] — ''recommended with 2 notes removed - read article''
-* [[3-5-7-9 stellated hexany]]
+* [[3-5-7-13 stellated hexany]] — ''recommended''
-* [[3-5-7-11 stellated hexany]]
-* [[3-5-7-13 stellated hexany]]
 * [[3-5-7-15 stellated hexany]]
-* [[3-5-9-11 stellated hexany]]
+* [[3-7-9-15 stellated hexany]] — ''recommended with 2 notes removed - read article''
-* [[3-5-9-13 stellated hexany]]
+* [[3-7-13-15 stellated hexany]] — ''recommended''
-* [[3-5-9-15 stellated hexany]]
+* [[3-9-15-21 stellated hexany]] — ''recommended''
-* [[3-5-9-25 stellated hexany]]
+* [[5-7-9-13 stellated hexany]]
-* [[3-5-9-27 stellated hexany]]
+* [[5-7-9-15 stellated hexany]] — ''recommended (rotate it above 3/2)''
-* [[3-5-11-13 stellated hexany]]
-* [[3-5-11-15 stellated hexany]]
+=== In no-13s subgroups ===
-* [[3-5-13-15 stellated hexany]]
+* [[1-7-11-15 stellated hexany]]
-* [[3-7-9-11 stellated hexany]]
+* [[3-5-7-11 stellated hexany]] — ''recommended''
-* [[3-7-9-13 stellated hexany]]
-* [[3-7-9-15 stellated hexany]]
-* [[3-7-13-15 stellated hexany]]
 * [[3-7-11-15 stellated hexany]]
-* [[3-7-13-15 stellated hexany]]
-* [[3-9-11-13 stellated hexany]]
-* [[3-9-11-15 stellated hexany]]
-* [[3-9-13-15 stellated hexany]]
-* [[3-9-15-21 stellated hexany]]
-* [[3-9-25-625 stellated hexany]]
-* [[3-11-13-15 stellated hexany]]
 * [[5-7-9-11 stellated hexany]]
-* [[5-7-9-13 stellated hexany]]
+* [[5-7-11-15 stellated hexany]] — ''recommended''
-* [[5-7-9-15 stellated hexany]]
-* [[5-9-11-13 stellated hexany]]
+=== Not yet categorised ===
-* [[5-9-11-15 stellated hexany]]
-* [[5-9-13-15 stellated hexany]]
-* [[5-11-13-15 stellated hexany]]
 * [[Stelhex]]
 * [[Stelhex-catakleismic]]
@@ Line 523: / Line 561: @@
 ''Main page: [[Pentadekany]]''
-'''1.3.n'''
+=== 1.3.n ===
 * [[1-3-5-7-9-11 pentadekany]]
-* [[1-3-5-7-9-13 pentadekany]]
+* [[1-3-5-7-9-13 pentadekany]] — ''recommended''
 * [[1-3-5-7-9-15 pentadekany]]
 * [[1-3-5-7-11-13 pentadekany]]
-* [[1-3-5-7-11-15 pentadekany]]
+* [[1-3-5-7-11-15 pentadekany]] — ''recommended''
 * [[1-3-5-7-13-15 pentadekany]]
 * [[1-3-5-9-11-13 pentadekany]]
 * [[1-3-5-9-11-15 pentadekany]]
 * [[1-3-5-9-13-15 pentadekany]]
-* [[1-3-5-11-13-15 pentadekany]]
+* [[1-3-5-11-13-15 pentadekany]] — ''recommended but only for advanced composers''
-* [[1-3-7-9-11-13 pentadekany]]
+* [[1-3-7-9-11-13 pentadekany]] — ''recommended''
-* [[1-3-7-9-11-15 pentadekany]]
+* [[1-3-7-9-11-15 pentadekany]] — ''recommended''
 * [[1-3-7-9-13-15 pentadekany]]
 * [[1-3-7-11-13-15 pentadekany]]
 * [[1-3-9-11-13-15 pentadekany]]
-'''1.5.n'''
+=== 1.5.n ===
 * [[1-5-7-9-11-13 pentadekany]]
-* [[1-5-7-9-11-15 pentadekany]]
+* [[1-5-7-9-11-15 pentadekany]] — ''recommended''
-* [[1-5-7-9-13-15 pentadekany]]
+* [[1-5-7-9-13-15 pentadekany]] — ''recommended''
 * [[1-5-7-11-13-15 pentadekany]]
 * [[1-5-9-11-13-15 pentadekany]]
-'''1.7.n'''
+=== 1.7.n ===
 * [[1-7-9-11-13-15 pentadekany]]
-'''3.5.n'''
+=== 3.5.n ===
 * [[3-5-7-9-11-13 pentadekany]]
-* [[3-5-7-9-11-15 pentadekany]]
+* [[3-5-7-9-11-15 pentadekany]] — ''recommended''
 * [[3-5-7-9-13-15 pentadekany]]
-* [[3-5-7-11-13-15 pentadekany]]
+* [[3-5-7-11-13-15 pentadekany]] — ''recommended''
-* [[3-5-9-11-13-15 pentadekany]]
+* [[3-5-9-11-13-15 pentadekany]] — ''recommended''
-'''3.7.n'''
+=== 3.7.n ===
 * [[3-7-9-11-13-15 pentadekany]]
-'''5.7.n'''
+=== 5.7.n ===
 * [[5-7-9-11-13-15 pentadekany]]
@@ Line 566: / Line 604: @@
 ''Main page: [[Eikosany]]''
-'''1.3.n'''
+=== 1.3.n ===
 * [[1-3-5-7-9-11 eikosany]]
 * [[1-3-5-7-9-13 eikosany]]
@@ Line 583: / Line 621: @@
 * [[1-3-9-11-13-15 eikosany]]
-'''1.5.n'''
+=== 1.5.n ===
 * [[1-5-7-9-11-13 eikosany]]
 * [[1-5-7-9-11-15 eikosany]]
@@ Line 590: / Line 628: @@
 * [[1-5-9-11-13-15 eikosany]]
-'''1.7.n'''
+=== 1.7.n ===
 * [[1-7-9-11-13-15 eikosany]]
-'''3.5.n'''
+=== 3.5.n ===
 * [[3-5-7-9-11-13 eikosany]]
 * [[3-5-7-9-11-15 eikosany]]
@@ Line 600: / Line 638: @@
 * [[3-5-9-11-13-15 eikosany]]
-'''3.7.n'''
+=== 3.7.n ===
 * [[3-7-9-11-13-15 eikosany]]
-'''5.7.n'''
+=== 5.7.n ===
 * [[5-7-9-11-13-15 eikosany]]
-'''Other'''
+=== Other ===
 * [[Eikosanyplusop]]