Xenharmonic Wiki

46edo: Difference between revisions

← Older edit
VisualWikitext
→Intervals: split for a CLEAN interval table
→21st century: Add Bryan Deister's ''46edo improv''] (202607-30) and add more specific date to the previous one
 
(5 intermediate revisions by 2 users not shown)
Line 40: Line 40:
| 1
| 1
| 26.1
| 26.1
| [[81/80]], [[64/63]], [[49/48]]
| [[49/48]], [[64/63]], [[81/80]]
| {{UDnote|step=1}}
| {{UDnote|step=1}}
|-
|-
| 2
| 2
| 52.2
| 52.2
| [[28/27]], [[36/35]], [[33/32]]
| [[28/27]], [[33/32]], [[36/35]]
| {{UDnote|step=2}}
| {{UDnote|step=2}}
|-
|-
| 3
| 3
| 78.3
| 78.3
| [[25/24]], [[21/20]], [[22/21]], [[24/23]], [[23/22]]
| [[21/20]], [[22/21]], [[24/23]], [[23/22]], [[25/24]]
| {{UDnote|step=3}}
| {{UDnote|step=3}}
|-
|-
Line 65: Line 65:
| 6
| 6
| 156.5
| 156.5
| [[12/11]], [[11/10]], [[23/21]]
| [[11/10]], [[12/11]], [[23/21]]
| {{UDnote|step=6}}
| {{UDnote|step=6}}
|-
|-
Line 105: Line 105:
| 14
| 14
| 365.2
| 365.2
| [[16/13]], [[26/21]], [[21/17]]
| [[16/13]], [[21/17]], [[26/21]]
| {{UDnote|step=14}}
| {{UDnote|step=14}}
|-
|-
Line 125: Line 125:
| 18
| 18
| 469.6
| 469.6
| [[21/16]], [[17/13]]
| [[17/13]], [[21/16]]
| {{UDnote|step=18}}
| {{UDnote|step=18}}
|-
|-
Line 135: Line 135:
| 20
| 20
| 521.7
| 521.7
| [[27/20]], [[23/17]]
| [[23/17]], [[27/20]]
| {{UDnote|step=20}}
| {{UDnote|step=20}}
|-
|-
Line 165: Line 165:
| 26
| 26
| 678.3
| 678.3
| [[40/27]], [[34/23]]
| [[34/23]], [[40/27]]
| {{UDnote|step=26}}
| {{UDnote|step=26}}
|-
|-
Line 175: Line 175:
| 28
| 28
| 730.4
| 730.4
| [[32/21]], [[26/17]]
| [[26/17]], [[32/21]]
| {{UDnote|step=28}}
| {{UDnote|step=28}}
|-
|-
| 29
| 29
| 756.5
| 756.5
| [[14/9]], [[20/13]], [[17/11]]
| [[14/9]], [[17/11]], [[20/13]]
| {{UDnote|step=29}}
| {{UDnote|step=29}}
|-
|-
Line 200: Line 200:
| 33
| 33
| 860.9
| 860.9
| [[18/11]], [[28/17]], [[23/14]]
| [[18/11]], [[23/14]], [[28/17]]
| {{UDnote|step=33}}
| {{UDnote|step=33}}
|-
|-
Line 210: Line 210:
| 35
| 35
| 913.0
| 913.0
| [[22/13]], [[17/10]]
| [[17/10]], [[22/13]]
| {{UDnote|step=35}}
| {{UDnote|step=35}}
|-
|-
Line 240: Line 240:
| 41
| 41
| 1069.6
| 1069.6
| [[24/13]], [[13/7]], [[28/15]]
| [[13/7]], [[24/13]], [[28/15]]
| {{UDnote|step=41}}
| {{UDnote|step=41}}
|-
|-
| 42
| 42
| 1095.7
| 1095.7
| [[15/8]], [[32/17]], [[17/9]]
| [[15/8]], [[17/9]], [[32/17]]
| {{UDnote|step=42}}
| {{UDnote|step=42}}
|-
|-
| 43
| 43
| 1121.7
| 1121.7
| [[48/25]], [[40/21]], [[21/11]], [[23/12]], [[44/23]]
| [[21/11]], [[23/12]], [[40/21]], [[44/23]], [[48/25]]
| {{UDnote|step=43}}
| {{UDnote|step=43}}
|-
|-
Line 260: Line 260:
| 45
| 45
| 1173.9
| 1173.9
| [[160/81]], [[63/32]], [[96/49]]
| [[63/32]], [[96/49]], [[160/81]]
| {{UDnote|step=45}}
| {{UDnote|step=45}}
|-
|-
Line 906: Line 906:


== Notation ==
== Notation ==
=== Ups and downs notation ===
=== Stein–Zimmermann–Gould notation ===
46edo can be notated with [[ups and downs]], spoken as up, dup, dudsharp, downsharp, sharp, upsharp, etc., and likewise down, dud, dupflat etc. Note that dudsharp is equivalent to trup (triple-up) and dupflat is equivalent to trud (triple-down).
[[Stein–Zimmermann–Gould notation]] uses sharps and flats with arrows:
{{Sharpness-sharp5-szg}}
 
=== Kite's ups and downs notation ===
46edo can also be notated with [[Kite's ups and downs notation|Kite's ups and downs]], spoken as up, dup, dudsharp, downsharp, sharp, upsharp, etc., and likewise down, dud, dupflat etc. Note that dudsharp is equivalent to trup (triple-up) and dupflat is equivalent to trud (triple-down).
{{Ups and downs sharpness}}
{{Ups and downs sharpness}}
Another notation uses [[Alternative symbols for ups and downs notation#Sharp-5|alternative ups and downs]]. Here, this can be done using sharps and flats with arrows, borrowed from extended [[Helmholtz–Ellis notation]]:
{{Sharpness-sharp5}}


=== Sagittal notation ===
=== Sagittal notation ===
Line 1,455: Line 1,456:
=== Modern renditions ===
=== Modern renditions ===
; {{W|Johann Sebastian Bach}}
; {{W|Johann Sebastian Bach}}
* [http://soonlabel.com/xenharmonic/wp-content/uploads/2013/10/Bach_BWV_1029_E46-Alto-Sax-+-Harpsichord.mp3 Sonata No. 3 in G minor, BWV 1029]{{dead link}} (late 1730s – early 1740s) – arranged and rendered by Claudi Meneghin
* [https://www.youtube.com/watch?v=wMEdFl2puL0 "Ricercar a 6" from ''The Musical Offering'', BWV 1079] (1747) – with syntonic-comma adjustment, rendered by Claudi Meneghin (2025)
* [https://www.youtube.com/watch?v=wMEdFl2puL0 "Ricercar a 6" from ''The Musical Offering'', BWV 1079] (1747) – with syntonic-comma adjustment, rendered by Claudi Meneghin (2025)
* "Contrapunctus 11" from ''The Art of Fugue'', BWV 1080] (1742–1749) – rendered by Claudi Meneghin
* [http://soonlabel.com/xenharmonic/wp-content/uploads/2014/02/Bach_Contrapunctus_4-Jeux14-E46.mp3 "Contrapunctus 4" from ''The Art of Fugue'', BWV 1080]{{dead link}} (1742–1749) – arranged and rendered by Claudi Meneghin
** [https://www.youtube.com/watch?v=4yetEubmIk0 organ rendering] (2024)
* "Contrapunctus 11" from ''The Art of Fugue'', BWV 1080] (1742–1749) – arranged and rendered by Claudi Meneghin
** [https://www.youtube.com/watch?v=fwGBD-oGNxI harpsichord rendering] (2025)
** [https://www.youtube.com/watch?v=4yetEubmIk0 organ rendering] (2024) · [https://www.youtube.com/watch?v=fwGBD-oGNxI harpsichord rendering] (2025)


; {{W|Nicolaus Bruhns}}
; {{W|Nicolaus Bruhns}}
Line 1,473: Line 1,475:
** with syntonic comma adjustment ([https://www.youtube.com/watch?v=GXIoWsvFMzI 2024], [https://www.youtube.com/watch?v=55iWVqnaox8&lc=Ugz472kn24J1Bw_vHtV4AaABAg 2025])
** with syntonic comma adjustment ([https://www.youtube.com/watch?v=GXIoWsvFMzI 2024], [https://www.youtube.com/watch?v=55iWVqnaox8&lc=Ugz472kn24J1Bw_vHtV4AaABAg 2025])
** without syntonic comma adjustment (super-Pythagorean) ([https://www.youtube.com/shorts/2OOXUO2H9qA 2026])
** without syntonic comma adjustment (super-Pythagorean) ([https://www.youtube.com/shorts/2OOXUO2H9qA 2026])
; Claude Larson ({{W|Klaus Netzle|German Wikipedia|s=de}})
* [https://www.youtube.com/shorts/fxEWnqvZtjY "Memory Image" from ''Soundscapes Vol.2''] (1986) – covered by [[Bryan Deister]] (2025)
; {{W|Akira Yamaoka}}
* [https://www.youtube.com/shorts/WyY-7Im0zkw ''Lakeview Hotel Music Box''] via ''{{W|Silent Hill 2}}'' (2001) – microtonal cover in 46edo by [[Bryan Deister]] (2026)


=== 21st century ===
=== 21st century ===
; [[Bryan Deister]]
; [[Bryan Deister]]
* [https://www.youtube.com/watch?v=SCpbbov1fSQ ''music box 46edo''] (2025)
* [https://www.youtube.com/watch?v=SCpbbov1fSQ ''music box 46edo''] (2025)
* [https://www.youtube.com/shorts/K-Gu_YkjYS4 ''46edo improv''] (2025)
* [https://www.youtube.com/shorts/K-Gu_YkjYS4 ''46edo improv''] (2025-10-19)
* [https://www.youtube.com/shorts/IWYJPyWE_Ao ''46edo waltz''] (2025)
* [https://www.youtube.com/shorts/IWYJPyWE_Ao ''46edo waltz''] (2025)
* [https://www.youtube.com/shorts/fxEWnqvZtjY ''Memory Image - Claude Larson (microtonal cover in 46edo)''] (2025)
* [https://www.youtube.com/shorts/JbTlJPrYOWk ''46edo improv''] (2026-07-30)


; [[Jake Freivald]] ([https://soundcloud.com/jdfreivald site])
; [[Jake Freivald]] ([https://soundcloud.com/jdfreivald site])
* [https://soundcloud.com/jdfreivald/a-seed-planted-yet-another ''A Seed Planted - (Yet another version: 46 EDO)''] [http://micro.soonlabel.com/gene_ward_smith/Others/Freivald/a_seed_planted-starling-46-EDO.mp3 play]{{dead link}}  
* [https://soundcloud.com/jdfreivald/a-seed-planted-yet-another ''A Seed Planted''] [http://micro.soonlabel.com/gene_ward_smith/Others/Freivald/a_seed_planted-starling-46-EDO.mp3 play]{{dead link}}  
 
; [[groundfault]]
* "Glimmer Extrication", from ''Souvenirs of the Affliction'' (2025) – [https://groundfco.bandcamp.com/track/glimmer-extrication-46edo-2 Bandcamp] | [https://www.youtube.com/watch?v=rrjuGmmodn0&t=969 YouTube (16:09–21:11)]


; [[Andrew Heathwaite]]
; [[Andrew Heathwaite]]
Line 1,495: Line 1,506:


; [[Claudi Meneghin]]
; [[Claudi Meneghin]]
* [http://soonlabel.com/xenharmonic/wp-content/uploads/2013/10/Bach_BWV_1029_E46-Alto-Sax-+-Harpsichord.mp3 Bach BWV 1029 in 46 equal] Claudi Meneghin version
* [https://www.youtube.com/watch?v=-6ORgyqom5M ''Les Regrets''] (2019) – chaconne & fugue a 5, for recorder, cornett, viola da braccio, bassoon, gamba, and continuo.
* [http://soonlabel.com/xenharmonic/wp-content/uploads/2014/02/Bach_Contrapunctus_4-Jeux14-E46.mp3 Bach Contrapunctus 4] Claudi Meneghin version
* [https://www.youtube.com/watch?v=1r55c2nppe8 ''El Rossinyol''] (2020) – for organ
* [https://www.youtube.com/watch?v=-6ORgyqom5M ''Chaconne et Fugue à 5 "Les Regrets"'']
* [https://www.youtube.com/watch?v=JwjoT6ceU20 ''Arietta with 5 Variations''] (2020) – for organ
* [https://www.youtube.com/watch?v=1r55c2nppe8 ''El Rossinyol'']
* [https://www.youtube.com/watch?v=rmgWC_jruSg ''Sensi Fugue''] (2024) – fugue for two organs, in sensi, 46edo tuning
* [https://www.youtube.com/watch?v=JwjoT6ceU20 ''Arietta with 5 Variations'', for Organ]
* [https://www.youtube.com/shorts/iZQElKqq6Hw "Closing Jingle"], from [https://www.youtube.com/playlist?list=PLC6ZSKWKnVz14UQd32K1sXc2zvstkPN6V ''Mikrokosmos''] (2026)
* [https://www.youtube.com/watch?v=rmgWC_jruSg ''Fugue in 46edo (as Sensi)'', for two organs] (2024)
* [https://www.youtube.com/shorts/iZQElKqq6Hw ''Closing Jingle - Micro Prelude & Fugue - 46EDO Imikrokosmos 22)''] (2026)


; [[Herman Miller]]
; [[Herman Miller]]
* ''[https://soundcloud.com/morphosyntax-1/light-at-the-end Light at the End]'' (2020)
* [https://soundcloud.com/morphosyntax-1/light-at-the-end ''Light at the End''] (2020)


; [[Joseph Monzo]]
; [[Joseph Monzo]]
Line 1,519: Line 1,528:
* [https://www.youtube.com/watch?v=s61YY80E_IA ''Catalyst''] (2025)
* [https://www.youtube.com/watch?v=s61YY80E_IA ''Catalyst''] (2025)


; vivi mouse
; [[vivi mouse]]
* [https://soundcloud.com/vivi-mouse-emoji/valentines-day ''valentine's day''] (2025)
* ''valentine's day'', from ''2025'' (2025) – [https://soundcloud.com/vivi-mouse-emoji/valentines-day SoundCloud] | [https://vivimouse.bandcamp.com/track/valentines-day Bandcamp] – in valentine, 46edo tuning


[[Category:Chromosounds]]
[[Category:Chromosounds]]
Retrieved from "https://en.xen.wiki/w/46edo"