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Peppermint-24: Difference between revisions

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Add subsets section to document nice sounding ones I found in Scale Workshop just now (the reason I'm suddenly interested in peppermint is that it looks like to win the may 2025 Monthly Tuning poll on Facebook)
→Modern renderings: Add John Bull's ''Fantasia «Ut Re Mi Fa Sol La»'' (late 1500s/early 1600s, from ''Fitzwilliam Virginal Book Vol.1 No.51'') – rendered by Claudi Meneghin (2020) in a 24 note per octave well-tempered system that combines golden meantone with peppermint
 
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Peppermint 24 is a scale first documented by Margo Schulter on the Yahoo tuning forum: [https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_38440.html#38440 M. Schulter (7/3/2002 3:51:43 AM)]  
'''Peppermint 24''' is a [[scale]] first documented by [[Margo Schulter]] on the Yahoo tuning forum: [https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_38440.html#38440 M. Schulter (7/3/2002 3:51:43 AM)]  
 
==Concept==
==Concept==
Peppermint 24 aims to map superparticular and other ratios within [[wikipedia:Harry_Partch|Harry Partch's]] larger 17-limit set, to two conventional piano keyboards.
Peppermint 24 aims to map [[superparticular]] and other ratios within [[wikipedia:Harry_Partch|Harry Partch's]] larger [[17-limit]] set, to two conventional piano keyboards.


It takes as its basis a [[Regular_Temperaments|regular temperament]] mentioned in [[Erv_Wilson|Ervin Wilson]]'s Scale Tree and described on the Tuning List by [[Keenan Pepper]], with a fifth of about 704.096 [[Cent|cents]], and a precise ratio of [[wikipedia:Golden_ratio|Phi]], the Golden Section (~1.618) between the larger chromatic semitone (e.g. C-C#) at about 128.669 cents and the smaller diatonic semitone (e.g. C#-D) at about 79.522 cents. Said fifth has a precise value of (67 + √5)/118 octaves, which is (40200 + 600 √5)/59 cents.
It takes as its basis a [[Regular_Temperaments|regular temperament]] mentioned in [[Erv_Wilson|Ervin Wilson]]'s Scale Tree and described on the Tuning List by [[Keenan Pepper]], with a fifth of about 704.096 [[Cent|cents]], and a precise ratio of [[wikipedia:Golden_ratio|Phi]], the Golden Section (~1.618) between the larger chromatic semitone (e.g. C-C#) at about 128.669 cents and the smaller diatonic semitone (e.g. C#-D) at about 79.522 cents. Said fifth has a precise value of (67 + √5)/118 octaves, which is (40200 + 600 √5)/59 cents.
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== Subsets ==
== Subsets ==
Akebono I (approximated from [[12edo]])
=== Diatonic and related scales ===
C Major
* 208.191
* 208.191
* 416.382
* 495.904
* 704.096
* 912.287
* 1120.478
* 1200.000
=== Salt and pepper scale and its subsets ===
Salt and pepper{{idiosyncratic}}
''A 12-tone subset of Peppermint-24 designed by [[Budjarn Lambeth]] to concentrate the most frequently used intervals on just one keyboard.''
* 128.669
* 187.349
* 208.191
* 266.871
* 287.713
* 287.713
* 495.904
* 704.096
* 704.096
* 832.765
* 891.445
* 891.445
* 970.967
* 1050.488
* 1200.000
<small>
Evacuated planet{{idiosyncratic}} (approximated from [[66afdo|66]][[afdo]])
* 128.669
* 495.904
* 704.096
* 1050.488
* 1200.000
* 1200.000


[[Antipental blues]] hexatonic
Flattened pseudo-[[equiheptatonic]]
* 128.669
* 266.871
* 266.871
* 495.904
* 495.904
* 554.584
* 704.096
* 832.765
* 1050.488
* 1200.000
 
Geode{{idiosyncratic}} (approximated from [[6afdo]])
* 266.871
* 495.904
* 704.096
* 1050.488
* 1200.000
 
Minor hexatonic (approximated from [[12edo]])
* 187.349
* 287.713
* 495.904
* 704.096
* 704.096
* 970.967
* 970.967
* 1200.000
* 1200.000


[[Antipental blues]] heptatonic
Pepperbass{{idiosyncratic}} (original/default tuning)
 
(''works well with jungle- or trap-style sub bass'')
* 208.191
* 704.096
* 891.445
* 1050.488
* 1200.000
 
Pseudo-[[6afdo]]
* 266.871
* 266.871
* 495.904
* 495.904
* 554.584
* 704.096
* 704.096
* 891.445
* 891.445
* 1050.488
* 1200.000
Pseudo-akebono I (approximated from [[12edo]])
* 208.191
* 287.713
* 704.096
* 891.445
* 1200.000
Pseudo-akebono II (approximated from [[12edo]])
* 128.669
* 495.904
* 704.096
* 832.765
* 1200.000
Pseudo-[[equipentatonic]]
* 266.871
* 495.904
* 704.096
* 970.967
* 970.967
* 1200.000
* 1200.000


Hirajoshi (approximated from [[12edo]])
Pseudo-hirajoshi (approximated from [[12edo]])
* 208.191
* 208.191
* 287.713
* 287.713
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* 1200.000
* 1200.000


Minor hexatonic (approximated from [[12edo]])
Sharpened pseudo-[[pelog]]
* 187.349
* 128.669
* 287.713
* 287.713
* 495.904
* 704.096
* 704.096
* 832.765
* 1200.000
</small>
=== Ketchup and mustard scale and its subsets ===
Ketchup and mustard{{idiosyncratic}}
''A 12-tone subset of Peppermint-24 designed by [[Budjarn Lambeth]] to map intervals which sound nice with an inharmonic [[gamelan]]-like timbre to a 12-key keyboard (e.g. [https://scaleworkshop.plainsound.org/scale/h2qwnm0-l this timbre in Scale Workshop]).''
* 58.680
* 128.669
* 187.349
* 266.871
* 475.062
* 683.253
* 762.775
* 832.765
* 912.287
* 970.967
* 1050.488
* 1200.000
<small>
Inharmonic geode{{idiosyncratic}}
* 266.871
* 475.062
* 683.253
* 1050.488
* 1200.000
Inharmonic minor hexatonic
* 187.349
* 266.871
* 475.062
* 683.253
* 970.967
* 970.967
* 1200.000
* 1200.000


Pseudo-[[equipentatonic]]
Inharmonic pepperbass{{idiosyncratic}}
* 187.349
* 683.253
* 762.775
* 1050.488
* 1200.000
 
Inharmonic pseudo-[[6afdo]]
* 266.871
* 475.062
* 683.253
* 832.765
* 1050.488
* 1200.000
 
Inharmonic pseudo-akebono I
* 187.349
* 266.871
* 683.253
* 912.287
* 1200.000
 
Inharmonic pseudo-akebono II
* 58.680
* 475.062
* 683.253
* 762.775
* 1200.000
 
Inharmonic pseudo-[[equipentatonic]]
* 266.871
* 266.871
* 495.904
* 475.062
* 704.096
* 704.096
* 970.967
* 970.967
* 1200.000
* 1200.000


Pseudo-[[equiheptatonic]]
Inharmonic pseudo-hirajoshi
* 187.349
* 187.349
* 346.393
* 266.871
* 495.904
* 683.253
* 704.096
* 832.765
* 832.765
* 1050.488
* 1200.000
* 1200.000


Pseudo-[[pelog]] version one
Unsharpened pseudo-[[pelog]]
* 128.669
* 128.669
* 266.871
* 266.871
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* 762.775
* 762.775
* 1200.000
* 1200.000
</small>


Pseudo-[[pelog]] version two
=== Miscellaneous ===
* 128.669
Undecimal picardy hexatonic{{idiosyncratic}} (original/default tuning)
* 287.713
* 58.680
* 266.871
* 346.393
* 704.096
* 970.967
* 1200.000
 
Unflattened pseudo-[[equiheptatonic]]
* 187.349
* 346.393
* 495.904
* 704.096
* 704.096
* 832.765
* 832.765
* 1050.488
* 1200.000
* 1200.000
== Instruments ==
=== Lumatone ===
* [[:File:Peppermint-C62.ltn]] & [[:File:MillerPeppermintLumatone.jpeg]] — [[Herman Miller]]'s [[Lumatone]] mapping for peppermint-24.
== Music ==
=== Modern Renderings ===
; {{W|John Bull (composer)|John Bull}}
* [https://www.youtube.com/watch?v=Ku32F-zEtmU ''Fantasia «Ut Re Mi Fa Sol La»''] (late 1500s/early 1600s, from ''Fitzwilliam Virginal Book Vol.1 No.51'') – rendered by Claudi Meneghin (2020) in a 24 note per octave well-tempered tuning system that uses both [[golden meantone]] fifths and peppermint fifths (tuning specification in video description).
; [[wikipedia:Wolfgang Amadeus Mozart|Wolfgang Amadeus Mozart]]
* [https://www.youtube.com/watch?v=eRzdbzJah20 ''Mozart's Gigue KV 574, Arranged for Fortepiano (PEPPERMINT)''] (rendered in the 12 note subset by [[Claudi Meneghin]], 2025)
* [https://www.youtube.com/watch?v=2-4oaNq7jwo ''2025-05-24 CHACONNE «LES REGRETS» - PEPPERMINT''] (rendered in a 46EDO-related subset by [[Claudi Meneghin]], (2025) ([https://www.youtube.com/shorts/I8NbVZFsIh0 short version])
=== 21st Century ===
; [[Budjarn Lambeth]]
* [https://www.youtube.com/watch?v=g6e3zYlbsWc ''Microtonal Jungle-Inspired Track in the "Salt and Pepper Scale"''] (2025)
; [[Claudi Meneghin]]
* [https://www.youtube.com/watch?v=5vPvI6MXWFM ''ST LOUIS FUGUE (Fugue on St Louis Blues), for Baroque Ensemble - (Microtonal, PEPPERMINT)''] (2025)
* [https://www.youtube.com/watch?v=iZlvKLg4CoM ''PEPPERMINT FUGUE in 5 parts «Les Regrets»''] (2025)


[[Category:24-tone scales]]
[[Category:24-tone scales]]
[[Category:Tempered scales]]
[[Category:Tempered scales]]
[[Category:Todo:clarify]]
[[Category:Todo:clarify]]
Retrieved from "https://en.xen.wiki/w/Peppermint-24"