User:BudjarnLambeth/Moon dust

This user page is editable by any wiki editor. As a general rule, most users expect their user space to be edited only by themselves, except for minor edits (e.g. maintenance), undoing obviously harmful edits such as vandalism or disruptive editing, and user talk pages. However, by including this message box, the author of this user page has indicated that this page is open to contributions from other users (e.g. content-related edits). Author comments: Don't remove anything (unless it's offensive or factually incorrect), but feel free to add any observations about the scale, subsets, music examples, etc., and feel free to improve the formatting or layout as long as you don't remove information.

Moon dust scale (circle diagram).

The moon dust scale^{[idiosyncratic term]} is a 16-tone JI scale, with a period of 16/1 (four octaves), invented by Budjarn Lambeth in 2025.

It was inspired by the work of Maeve Gutierrez (see history section).

It has distinctly dynamic melodic steps with interspersed bendy little steps and big stark leaps.

It contains a mixture of familiar 3-limit harmonies with very xenharmonic no-5s no-13s 19-limit harmonies. It has many dissonances to create tension but also many consonances to resolve it.

Intervals

• 17/14
• 19/14
• 3/2
• 9/4
• 19/8
• 11/4
• 7/2
• 4/1
• 9/2
• 11/2
• 6/1
• 9/1
• 19/2
• 11/1
• 57/4
• 16/1

Practical techniques

Keyboard mapping

When using the scale on an isomorphic keyboard such as the Lumatone or Scale Workshop, it is recommended to have one axis ascend by 1 step at a time, and the other axis ascend by 3, 4 or 5 steps at a time.

Scale Workshop

• The moon dust scale in Scale Workshop
• Alt version with a different timbre

Frequency in Hz

Lambeth usually sets the frequency of the tonic note - note 0 of the scale - around F#2, that is 92.4986 Hz.

He recommends setting it anywhere between 65Hz and 260Hz, or anywhere between C2 and C4.

Chord voicing

When voicing chords, Lambeth recommends that the two lowest notes of the chord should be at least 4 scale steps apart (eg step 0 and step 4).

Above this foundation, you can then add any higher notes you wish as chord extensions.

(He reminds that rules are made to be broken, though, of course.)

Alternatively, another way Lambeth recommends to use this scale is to forget about vertical harmony and to instead focus on writing interweaving melodic lines that each sound good on their own, and they will just naturally generate consonant harmonies. (Similar to late medieval/early Renaissance harmony.)

Combining with other scales

You can have one instrument tuned to the moon dust scale, and another instrument tuned to any other over-7 primodal scale, and have them play simultaneously.

Some good scales to combine it with in this way are:

This article or section contains multiple idiosyncratic terms. Such terms are used by only a few people and are not regularly used within the community.

• Over-7 apex: 60/56 - 72/56 - 76/56 - 84/56 - 104/56 - 112/56
• Over-7 blues minor maj7: 66/56 - 76/56 - 79/56 - 84/56 - 106/56 - 112/56
• Over-7 cosmic: 76/56 - 84/56 - 89/56 - 100/56 - 112/56
• Over-7 sharp blues aeolian pentatonic: 67/56 - 84/56 - 89/56 - 100/56 - 112/56
• Over-7 sharp blues dorian hexatonic: 67/56 - 76/56 - 84/56 - 94/56 - 101/56 - 112/56
• Over-7 sharp hirajoshi: 63/56 - 67/56 - 84/56 - 90/56 - 112/56
• Over-7 sharp maj pentatonic: 67/56 - 76/56 - 84/56 - 101/56 - 112/56

One can also try any of the over-7 scales are listed on the following page:

• 5- to 10-tone over-7 scales.

History

Maeve Gutierrez shared the following JI chord in the Xenharmonic Alliance Discord server in late September 2025:

• 11/9 - 19/7 - 3/1 - 19/4 - 7/1 - 9/1 - 11/1

Budjarn Lambeth then moved the whole chord (except the 11/9) down 1 octave, to get:

• 19/14 - 3/2 - 19/8 - 7/2 - 9/2 - 11/2

Lambeth then added a 4/1 to act as the equivalence and a 16/1 to act as the period.

He then filled in the rest of the notes around those using Scale Workshop and his ears.

Theory

Primodality

Through the lens of primodality theory, the moon dust scale is an over-7 scale.

It occurs above the tonic in the 112th mode of the harmonic series (112afdo). (See: overtone scale and harmonic series.)

Enumerated chord

Written as a JI chord, the moon dust scale is:

• 56:68:76:84:126:133:154:196:224:252:308:336:504:532:616:784:896

Approximations in other tunings

According to Lambeth, the moon dust scale sounds particularly nice in 24edo, 30edo, 31edo or 72edo.

As scale degrees of 24edo, it is:

• 7, 11, 14, 28, 30, 35, 43, 48, 52, 59, 62, 76, 78, 83, 91, 96

As scale degrees of 30edo:

• 9, 13, 18, 35, 37, 44, 54, 60, 65, 74, 78, 95, 97, 104, 114, 120

As scale degrees of 31edo:

• 9, 14, 18, 36, 39, 45, 56, 62, 67, 76, 80, 98, 101, 107, 118, 124

As scale degrees of 72edo:

• 21, 32, 42, 84, 90, 105, 130, 144, 156, 177, 186, 228, 234, 249, 274, 288