User:BudjarnLambeth/Moon dust: Difference between revisions

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


It contains a mixture of mundane [[3-limit]] harmonies with some quite [[xenharmonic]] 2.3.7.11.19 [[subgroup]] harmonies. It has many dissonances to create tension but also many consonances to resolve it.
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 ==
== Intervals ==
* 11/9
* 17/14
* 19/14
* 19/14
* 3/2
* 3/2
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* '''16/1'''
* '''16/1'''


== Techniques ==
== Practical techniques ==
=== Keyboard mapping ===
=== 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 5 steps at a time.
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 5 steps at a time.
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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.)
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 over-7 scales are listed on the following page:
* [[User:BudjarnLambeth/5- to 10-tone scales from the modes of the harmonic series#Over-7|5- to 10-tone over-7 scales]].
=== Scale Workshop ===
* [https://scaleworkshop.plainsound.org/scale/zDtRVR1Mh The moon dust scale in Scale Workshop]


== History ==
== History ==
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== Approximations in other tunings ==
== Approximations in other tunings ==
=== Over-7 primodality ===
[[Category:Primodality]]
The moon dust scale can be used as an over-7 [[primodal]] scale by simply replacing the 11/9 with a 17/14, and keeping all other intervals exactly the same.
As a chord this is:
* <small><small>56:68:76:84:126:133:154:196:224:252:308:336:504:532:616:784:896</small></small>
Which occurs above the [[tonic]] of [[112afdo|the 112th mode of the harmonic series]]. (''See: [[overtone scale]]''.)
When using this version of the moon dust scale, you can combine it with any other over-7 scale, such as the ones listed on the following page:
* [[User:BudjarnLambeth/5- to 10-tone scales from the modes of the harmonic series#Over-7|5- to 10-tone over-7 scales]].
=== EDOs ===
=== EDOs ===
According to Lambeth, the moon dust scale sounds particularly nice in {{EDOs|24edo, 30edo, 31edo or 72edo}}.
According to Lambeth, the moon dust scale sounds particularly nice in {{EDOs|24edo, 30edo, 31edo or 72edo}}.
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As scale degrees of 72edo:
As scale degrees of 72edo:
* 21, 32, 42, 84, 90, 105, 130, 144, 156, 177, 186, 228, 234, 249, 274, 288
* 21, 32, 42, 84, 90, 105, 130, 144, 156, 177, 186, 228, 234, 249, 274, 288
== Scale Workshop ==
* [https://scaleworkshop.plainsound.org/scale/zDtRVR1Mh The moon dust scale in Scale Workshop]


[[Category:16-tone scales]][[Category:Just intonation scales]][[Category:19-limit]][[Category:Nonoctave]]
[[Category:16-tone scales]][[Category:Just intonation scales]][[Category:19-limit]][[Category:Nonoctave]]

Revision as of 03:03, 1 October 2025

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 5 steps at a time.

Frequency in Hz

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

He recommends setting it anywhere between 75Hz and 120Hz, or anywhere between D2 and A#2.

Chord voicing

When voicing chords, Lambeth recommends that the two lowest notes of the chord should be 5 scale steps apart.

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 over-7 scales are listed on the following page:

Scale Workshop

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:

  • 11/9 - 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.

Approximations in other tunings

EDOs

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