BudjarnLambeth

* music theorist

* improviser-composer

* Location: New South Wales, Australia

* Born: 1999

* Pronouns: he/she

* Contactable at: https://www.facebook.com/budjarnlambeth/ or on my [[User talk:BudjarnLambeth|talk page]]

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== Music I made ==

* [https://www.youtube.com/playlist?list=PLVHnByvMeRTqRGiICQelMy_tdDVIDKEXn '''Best pieces (playlist)''']

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I'm a contributor to:

* the Xenharmonic Wiki

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''(alphabetical order)''

* [[Benyamind]]

* [[Brendan Byrnes]]

* [[Merct]]

* [[Sevish]]

Lambeth hypothesized this property for equal-step tunings where the '''[[period]]''' of the scale '''differs''' from the interval of '''psychoacoustic [[equivalence]]''' (usually the octave, 2/1).

* '''Examples:''' Equal divisions of sevenths (e.g., ed7/4) or ninths (ed16/9) if the equivalence is the octave.

* '''Application:''' It allows composers to approach complex temperaments (like those without consonant small MOS scales) or large [[just intonation]] sets by breaking them down into simpler, manageable triadic parts.

* '''Example:''' '''[[Shoal17|Shoal[17]]]''', a 17-tone MOS scale in the Shoal temperament (a 2.3.13.23 subgroup detemper of 17edo), is cited as a prime candidate for this approach.

* '''Criteria:'''

* '''Examples:''' Subgroups like (2.3.5.13.17.19) used in Lambeth's Fifigeist temperament.

* '''Sharp Substitutes:''' Replacing a harmonic with a slightly sharper higher harmonic. Lambeth names these temperaments after weapons or with "com"-ending names (e.g., '''Daggerminished''', '''Pajaraxe''', '''Dotcom''', '''Sitcom''', '''Romcom''').

* '''Flat Substitutes:''' Replacing with a flatter harmonic. Naming convention involves flat regions (e.g., '''Sahara''').

* '''[[User:BudjarnLambeth/Batch 89 temperaments|Batch 89 Temperaments]]:''' A set of temperaments first documented in 2023, honoring the characters from ''Guardians of the Galaxy Vol. 3''. Each tempers 4 harmonics: the 2nd, the 89th (representing shared trauma), and two others derived from the character's name via A1Z26 cipher.

** '''[[User:BudjarnLambeth/Ed255/128|Ed255/128]]:''' Divides the interval 255/128 (slightly flatter than an octave). Useful for correcting EDOs where consonances are too sharp (e.g., used as an alternative to 5edo).

** '''[[BudjarnLambeth/Ed257/128|Ed257/128]]:''' Divides the interval 257/128 (slightly sharper than an octave). Useful for correcting EDOs where consonances are too flat (e.g., alternative to 7edo).

* '''[[Firedance]] scale:''' A 5-tone subset of zeta-stretched 15edo (47zpi). It was designed by ear, starting from 5edo and adjusting steps by degrees of 15edo.

Lambeth recommends the following tunings for Western musicians exploring world music traditions:

====Invented approaches to constructing tunings ====

These are the same category of thing as “equal temperaments”.

* The [[breuddwyd6|breuddwyd-6]] scale

* The [[35edo#Scales|fourfourths]] scale

* The [[38edo#Scales|hemisettled11]] scale

* The [[38edo#Scales|hemisettled16]] scale

* The [[27edo#Scales|hypersakura]] scale

* The [[9edf#Scales|molten pelog]] scale

* The [[9edf#Scales|molten slendro]] scale

** The [[Maeve Gutierrez#Gutierrez sunbreak scale|negative harmony sunbreak]] scale

** The [[Maeve Gutierrez#Gutierrez sunbreak scale|fractalized sunbreak]] scale

* All the scales listed at: [[User:BudjarnLambeth/Quasipelog theory]]

* The [[27edo#Scales|direct sunlight]] scale

* The [[Shoal17#Scales|driftwood]] scale

* The [[User:BudjarnLambeth/Hall of mirrors#Enrichment scale|enrichment]] scale

* The [[Peppermint-24#Salt and pepper scale and its subsets|evacuated planet]] scale

* The [[magnetosphere scale]]

* The [[16afdo#Scales|mechanical]] scale

* The [[35edo#Scales|meta-monsoon]] scale

** The [[5- to 10-tone scales in 47zpi|monsoon]] scale

* The [[5- to 10-tone scales from the modes of the harmonic series#Macrotonal NEJI edos|tropicalpunch]] scale

* The [[Batch 89 temperaments#Example inflected MOS scale: UFO scale|UFO scale]]

* The [[67edo#Scales|understory]] scale

* The [[16afdo#Scales|volcanic]] scale

* The [[5- to 10-tone scales from the modes of the harmonic series#Macrotonal NEJI edos|whitechocolate]] scale

* [[Vavoom family#Vortex|Vortex]] temperament

* [[Equalizer subgroup|Werecatler]] temperament

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* Find all examples of multiple similar Scala file pages (eg "exampletone10", "exampletone15", "exampletone_major") and merge them into scale galleries.

* Record improvisations using JI scales that have no music examples, and post those as examples on the relevant scale pages.

==== Structural wiki improvements ====

** 46edo

** 53edo}}

* Add “[[:Category:Temperaments]]” to all temperament [[special:ListRedirects|redirects]]

** [[3ed5]] to 5ed5

** [[4ed6]]</small>

==== Improve pages I made ====

==== Explore, discover, document ====

* Find more unique scales in [[Catnip]][36] in [[60edo]] that can’t be replicated in [[Compton]][36] and document them on [[5- to 10-tone scales in 60edo]]

==== Approximate x in y ====

703.03030

1042.42424

Oceanfront5

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* [[User:BudjarnLambeth/List of equal divisions including novelties]]

* [[User:BudjarnLambeth/Neji scales I found while tinkering in Scale Workshop]]

* [[User:BudjarnLambeth/Edo approximations of gamelan scales]]

* [[User:BudjarnLambeth/Some tunings for Japanese scales]]

* [[User:BudjarnLambeth/Eagle JI subsets]]

* [[User:BudjarnLambeth/Gallery of xenharmonic word painting]]

* [[User:BudjarnLambeth/13 levels of xenharmony]]

The tuning sounds consonant, all the combinations of intervals you used sound within the same range of consonant-ness as all the combinations available in 12edo. There are more dissonant and less dissonant sections, but none that sound more dissonant than the maximum limit of dissonance I'm willing to tolerate (ie, the maximum amount of dissonance achievable with 12edo). All that is a long winded way of saying nothing sounds "out of tune".

The piece has enough dynamic range, sense of harmonic movement, and interaction between melody lines to hold my interest, to not sound bland, but instead sound captivating.

The ratios of the octave as celestial bodies of the solar system:

* '''[[2/1]], the sun''', defining the overall structure of the entire octave.

* '''[[3/2]], Jupiter''', the biggest pull aside from the sun itself. Marks out a rough middle of the solar system.

* '''[[9/5]], Ceres'''. It doesn’t pull much weight on its own, but in the context of the wider solar system, it demarcates an important in-between point for the other planets. If you want to travel between the different planets, Ceres makes the journey much more pleasant.

* '''[[11/8]], Pluto''', often dismissed outright due to having such a tiny gravitational pull. But it is a whole other type of ‘planet’, the first of a whole new family. When approached on its own terms, it opens up a larger, more diverse solar system than we ever knew existed.

== Useful links for my own convenience ==