53edo: Difference between revisions

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== Theory ==

53edo is notable as an excellent [[5-limit]] system, a fact apparently first noted by {{w|Isaac Newton}}<ref>[https://~~emusicology~~.org/~~index~~.~~php/EMR/article/view~~/7647~~/6030~~ Muzzulini, Daniel. 2021. "Isaac Newton's Microtonal Approach to Just Intonation". ''Empirical Musicology Review'' 15 (3–4):223–48~~. https://doi.org/10.18061/emr.v15i3-4.7647~~.]</ref>. It is the seventh [[Riemann zeta function #Zeta EDO lists|strict zeta edo]]. In the opinion of some, 53edo is the first equal division to deal adequately with the [[13-limit]], while others award that distinction to [[41edo]] or [[46edo]]. Like 41 and 46, 53 is distinctly [[consistent]] in the [[9-odd-limit]] (and if we exclude the most damaged interval pair, 7/5 and 10/7, is [[consistent to distance]] 2), but among them, 53 is the first that finds the [[interseptimal interval]]s [[15/13]] and [[13/10]] distinctly from adjacent [[7-limit|septimal]] intervals [[8/7]] and [[7/6]], and [[9/7]] and [[21/16]], respectively, which is essential to its 13-limit credibility. It also avoids equating [[11/9]] with [[16/13]], so that the former is tuned very flat to equate it with a slightly flat [[~]][[39/32]] – a feature shared by 46edo. It is almost consistent to the entire [[15-odd-limit]], with the only inconsistency occurring at [[14/11]] (and its octave complement), which is mapped inconsistently sharp and equated with [[9/7]], but it has the benefit of doing very well in larger prime/subgroup-limited odd-limits. It can be treated as a no-11's, no-17's tuning, on which it is consistent all the way up to the [[27-odd-limit]]. It shines however in the 2.3.5.19 and [[2.3.5.13 subgroup|2.3.5.13]] subgroups, where it offers excellent approximations with decent complexity.

53edo is notable as an excellent [[5-limit]] system, a fact apparently first noted by {{w|Isaac Newton}}<ref>[https://doi.org/10.18061/emr.v15i3-4.7647 Muzzulini, Daniel. 2021. "Isaac Newton's Microtonal Approach to Just Intonation". ''Empirical Musicology Review'' 15 (3–4):223–48.]</ref>. It is the seventh [[Riemann zeta function #Zeta EDO lists|strict zeta edo]]. In the opinion of some, 53edo is the first equal division to deal adequately with the [[13-limit]], while others award that distinction to [[41edo]] or [[46edo]]. Like 41 and 46, 53 is distinctly [[consistent]] in the [[9-odd-limit]] (and if we exclude the most damaged interval pair, 7/5 and 10/7, is [[consistent to distance]] 2), but among them, 53 is the first that finds the [[interseptimal interval]]s [[15/13]] and [[13/10]] distinctly from adjacent [[7-limit|septimal]] intervals [[8/7]] and [[7/6]], and [[9/7]] and [[21/16]], respectively, which is essential to its 13-limit credibility. It also avoids equating [[11/9]] with [[16/13]], so that the former is tuned very flat to equate it with a slightly flat [[~]][[39/32]] – a feature shared by 46edo. It is almost consistent to the entire [[15-odd-limit]], with the only inconsistency occurring at [[14/11]] (and its octave complement), which is mapped inconsistently sharp and equated with [[9/7]], but it has the benefit of doing very well in larger prime/subgroup-limited odd-limits. It can be treated as a no-11's, no-17's tuning, on which it is consistent all the way up to the [[27-odd-limit]]. It shines however in the 2.3.5.19 and [[2.3.5.13 subgroup|2.3.5.13]] subgroups, where it offers excellent approximations with decent complexity.

53edo has also found a certain dissemination as an edo tuning for [[Arabic, Turkish, Persian|Arabic, Turkish, and Persian music]]. It can also be used as an extended [[3-limit|Pythagorean tuning]], since its fifths are indistinguishable from just in most contexts.

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; From [[AFDO]]s

{{Idiosyncratic terms|These terms are so far only documented being used by [[Budjarn Lambeth]]}}

* Composite Baobab (approximated from [[30afdo]]): 14 8 9 8 7 7

* Composite Cliffedge (approximated from [[60afdo]]): 12 10 9 19 3

* Composite Deja Vu (approximated from [[101afdo]]): 14 17 5 9 8

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=== Modern renderings ===

; {{W|Johann Sebastian Bach}}

* [https://www.youtube.com/watch?v=ax43zKpDq9o "Jesus bleibet meine Freude" from ''Herz und Mund und Tat und Leben'', BWV 147] (1723) – tuned in 53edo, rendered by [[Claudi Meneghin]] (2021)

* [https://www.youtube.com/watch?v=ax43zKpDq9o ''"Jesus bleibet meine Freude"'' from ''Herz und Mund und Tat und Leben'', BWV 147] (1723) – tuned in 53edo, rendered by [[Claudi Meneghin]] (2021)

* ''Prelude and Fugue in C Major, No. 1'', BWV 846, from ''The Well-Tempered Clavier'', Book I (1722) – rendered by [[Mykhaylo Khramov]]

** [https://web.archive.org/web/20201127013408/http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Khramov/prelude1-53.mp3 Prelude] · [https://web.archive.org/web/20201127012701/http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Khramov/fugue1-53.mp3 Fugue]

** [https://web.archive.org/web/20201127013408/http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Khramov/prelude1-53.mp3 Prelude]

* [https://www.youtube.com/watch?v=WyLDjrLa94Y "Ricercar a 3" from ''The Musical Offering'', BWV 1079] (1747) – rendered by Claudi Meneghin (2024)

** [https://web.archive.org/web/20201127012701/http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Khramov/fugue1-53.mp3 Fugue]

* ~~[https://www.youtube.com/watch?v=GK9YwSphw5Y~~ "Ricercar a 6" from ''The Musical Offering'', BWV 1079] (1747) – rendered by Claudi Meneghin (2025)

* [https://www.youtube.com/watch?v=WyLDjrLa94Y ''"Ricercar a 3"'' from ''The Musical Offering'', BWV 1079] (1747) – rendered by Claudi Meneghin (2024)

* [https://www.youtube.com/watch?v=daWx5-iegW0 ~~"Ricercar a 6" from ''The Musical Offering'', BWV 1079~~] ~~(1747) – with syntonic-comma adjustment, rendered by Claudi Meneghin (2025)~~

* ''"Ricercar a 6"'' from ''The Musical Offering'', BWV 1079 (1747) – rendered by Claudi Meneghin (2025)

* [https://www.youtube.com/watch?v=dZyrIOMEmzo "Contrapunctus 4" from ''The Art of Fugue'', BWV 1080] (1742–1749) – rendered by Claudi Meneghin (2024)

** [https://www.youtube.com/watch?v=GK9YwSphw5Y Near-Pythagorean version]

* [https://www.youtube.com/watch?v=vcinR7nUthA "Contrapunctus 11" from ''The Art of Fugue'', BWV 1080] (1742–1749) – rendered by Claudi Meneghin (2024)

** [https://www.youtube.com/watch?v=daWx5-iegW0 Schismatic version]

* [https://www.youtube.com/watch?v=dZyrIOMEmzo ''"Contrapunctus 4"'' from ''The Art of Fugue'', BWV 1080] (1742–1749) – rendered by Claudi Meneghin (2024)

* [https://www.youtube.com/watch?v=vcinR7nUthA ''"Contrapunctus 11"'' from ''The Art of Fugue'', BWV 1080] (1742–1749) – rendered by Claudi Meneghin (2024)

; {{W|Nicolaus Bruhns}}

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; {{w|Frédéric Chopin}}

* Prelude Op. 28, No. 4 in E minor « Suffocation » (1839), arranged for harpsichord, tuned into 53-edo ~~—~~ rendered by [[Claudi Meneghin]] (2025)

* Prelude Op. 28, No. 4 in E minor « Suffocation » (1839), arranged for harpsichord, tuned into 53-edo — rendered by [[Claudi Meneghin]] (2025)

** [https://www.youtube.com/watch?v=0VB1hv0-AmE Near-Pythagorean version]

** [https://www.youtube.com/~~shorts/~~iYtZGBKHcpU Schismatic version]

** [https://www.youtube.com/watch?v=iYtZGBKHcpU Schismatic version]

* [https://www.youtube.com/shorts/4YEHMpaO4bA ''"Waterfall" Étude from 12 Études, op. 10''] (1829–1832) ~~&mdash~~; rendered by Claudi Meneghin (~~2025~~)

* [https://www.youtube.com/shorts/4YEHMpaO4bA ''"Waterfall" Étude from 12 Études, op. 10''] (1829–1832) — rendered by Claudi Meneghin (2025)

; {{W|Gabriel Fauré}}

* ''Pavane'', op. 50 (1887) — arranged for harpsichord and rendered by Claudi Meneghin (2026)

** [https://www.youtube.com/watch?v=lTDdD2hIRx4 Near-Pythagorean version]

; {{W|Toby Fox}}

* [https://www.youtube.com/shorts/zCthwbPH2cY ''Finale''] via ''Undertale'' (2015) – microtonal cover in 53edo by [[Bryan Deister]] (2026)

; {{W|George Frideric Handel}}

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* ''Maple Leaf Rag'' (1899) – arranged for harpsichord and rendered by Claudi Meneghin ([https://www.youtube.com/watch?v=AKXMuhB3uHQ 2024 version]; [https://www.youtube.com/shorts/VsOk3az8J40 2025 version]))

* ''Maple Leaf Rag'' (1899) – with syntonic comma adjustment, arranged for harpsichord and rendered by Claudi Meneghin ([https://www.youtube.com/watch?v=t-pRqKGX0oo 2024 version]; [https://www.youtube.com/shorts/msBeUJjFlV4 (2025 version)]

; [https://vocaloid.fandom.com/wiki/Mushi-P Mushi-P (muship)]

* [https://www.youtube.com/shorts/8jKjvVw4tvw ''Color & Electricity''] (2016) – microtonal cover in 53edo by [[Bryan Deister]] (2025)

; {{W|Shirō Sagisu}}

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* [https://www.youtube.com/watch?v=DCENVnxH6bI ''Bande-announce''] – rendered by MortisTheneRd (2024)

==== 21st century ====

=== 21st century ===

; [[ALLY195]]

* [https://www.bilibili.com/video/BV1f54y1r7XG/ ''My Soul adaptation''] (2020)

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; [[Bryan Deister]]

* [https://www.youtube.com/shorts/r-Tzq33OGM4 ''microtonal improvisation in 53edo''] (2025)

* ~~[https://www.youtube.com/shorts/8jKjvVw4tvw~~ ''~~Color & Electricity - muship (microtonal cover~~ in 53edo)''] (2025)

* ''Fantasy in 53edo'' (2025)

* [https://www.youtube.com/shorts/tIx3PcOyNJo ''53edo ~~improv~~''] (2025)

** [https://www.youtube.com/shorts/tIx3PcOyNJo ''<nowiki>Fantasy in 53edo [short clip]</nowiki>''] (2025) (Lumatone view; formerly titled ''53edo improv'')

* ''~~Fantasy in~~ 53edo'' ([https://www.youtube.com/~~shorts/~~fgsT-1pBw8g abstract version]; [https://www.youtube.com/watch?v=-q-T3HuGehk visualizer version] ~~(2025)~~

** [https://www.youtube.com/watch?v=fgsT-1pBw8g ''<nowiki>[full abstract art version]</nowiki>'']

* [https://www.youtube.com/shorts/~~zCthwbPH2cY ''Finale - Undertale (microtonal cover in 53edo)~~''] ~~(2026)~~

** [https://www.youtube.com/watch?v=-q-T3HuGehk ''<nowiki>[full visualizer version]</nowiki>'']

* ''Waltz in 53edo'' (2026)

** [https://www.youtube.com/shorts/WtSaDQCyfVc <nowiki>[Short]</nowiki>] (~~with~~ Lumatone view))

** [https://www.youtube.com/shorts/WtSaDQCyfVc <nowiki>[Short]</nowiki>] (Lumatone view)

** [https://www.youtube.com/watch?v=_xumSANdf-g <nowiki>[Full version]</nowiki>]

* [https://www.youtube.com/shorts/7YfZZ7aMvH8 ''53edo groove''] (2026)

* [https://www.youtube.com/shorts/k5lepAk19nA ''53edo improv''] (2026-09-18)

; [[Francium]]

@@ Line 10: / Line 10: @@
 == Theory ==
-edo is notable as an excellent [[5-limit]] system, a fact apparently first noted by {{w|Isaac Newton}}<ref>[https://emusicology.org/index.php/EMR/article/view/7647/6030 Muzzulini, Daniel. 2021. "Isaac Newton's Microtonal Approach to Just Intonation". ''Empirical Musicology Review'' 15 (3–4):223–48. https://doi.org/10.18061/emr.v15i3-4.7647.]</ref>. It is the seventh [[Riemann zeta function #Zeta EDO lists|strict zeta edo]]. In the opinion of some, 53edo is the first equal division to deal adequately with the [[13-limit]], while others award that distinction to [[41edo]] or [[46edo]]. Like 41 and 46, 53 is distinctly [[consistent]] in the [[9-odd-limit]] (and if we exclude the most damaged interval pair, 7/5 and 10/7, is [[consistent to distance]] 2), but among them, 53 is the first that finds the [[interseptimal interval]]s [[15/13]] and [[13/10]] distinctly from adjacent [[7-limit|septimal]] intervals [[8/7]] and [[7/6]], and [[9/7]] and [[21/16]], respectively, which is essential to its 13-limit credibility. It also avoids equating [[11/9]] with [[16/13]], so that the former is tuned very flat to equate it with a slightly flat [[~]][[39/32]] – a feature shared by 46edo. It is almost consistent to the entire [[15-odd-limit]], with the only inconsistency occurring at [[14/11]] (and its octave complement), which is mapped inconsistently sharp and equated with [[9/7]], but it has the benefit of doing very well in larger prime/subgroup-limited odd-limits. It can be treated as a no-11's, no-17's tuning, on which it is consistent all the way up to the [[27-odd-limit]]. It shines however in the 2.3.5.19 and [[2.3.5.13 subgroup|2.3.5.13]] subgroups, where it offers excellent approximations with decent complexity.
+edo is notable as an excellent [[5-limit]] system, a fact apparently first noted by {{w|Isaac Newton}}<ref>[https://doi.org/10.18061/emr.v15i3-4.7647 Muzzulini, Daniel. 2021. "Isaac Newton's Microtonal Approach to Just Intonation". ''Empirical Musicology Review'' 15 (3–4):223–48.]</ref>. It is the seventh [[Riemann zeta function #Zeta EDO lists|strict zeta edo]]. In the opinion of some, 53edo is the first equal division to deal adequately with the [[13-limit]], while others award that distinction to [[41edo]] or [[46edo]]. Like 41 and 46, 53 is distinctly [[consistent]] in the [[9-odd-limit]] (and if we exclude the most damaged interval pair, 7/5 and 10/7, is [[consistent to distance]] 2), but among them, 53 is the first that finds the [[interseptimal interval]]s [[15/13]] and [[13/10]] distinctly from adjacent [[7-limit|septimal]] intervals [[8/7]] and [[7/6]], and [[9/7]] and [[21/16]], respectively, which is essential to its 13-limit credibility. It also avoids equating [[11/9]] with [[16/13]], so that the former is tuned very flat to equate it with a slightly flat [[~]][[39/32]] – a feature shared by 46edo. It is almost consistent to the entire [[15-odd-limit]], with the only inconsistency occurring at [[14/11]] (and its octave complement), which is mapped inconsistently sharp and equated with [[9/7]], but it has the benefit of doing very well in larger prime/subgroup-limited odd-limits. It can be treated as a no-11's, no-17's tuning, on which it is consistent all the way up to the [[27-odd-limit]]. It shines however in the 2.3.5.19 and [[2.3.5.13 subgroup|2.3.5.13]] subgroups, where it offers excellent approximations with decent complexity.
 edo has also found a certain dissemination as an edo tuning for [[Arabic, Turkish, Persian|Arabic, Turkish, and Persian music]]. It can also be used as an extended [[3-limit|Pythagorean tuning]], since its fifths are indistinguishable from just in most contexts.
@@ Line 1,125: / Line 1,125: @@
 ; From [[AFDO]]s
-{{Idiosyncratic terms}}
+{{Idiosyncratic terms|These terms are so far only documented being used by [[Budjarn Lambeth]]}}
+* Composite Baobab (approximated from [[30afdo]]): 14 8 9 8 7 7
 * Composite Cliffedge (approximated from [[60afdo]]): 12 10 9 19 3
 * Composite Deja Vu (approximated from [[101afdo]]): 14 17 5 9 8
@@ Line 1,155: / Line 1,156: @@
 === Modern renderings ===
 ; {{W|Johann Sebastian Bach}}
-* [https://www.youtube.com/watch?v=ax43zKpDq9o "Jesus bleibet meine Freude" from ''Herz und Mund und Tat und Leben'', BWV 147] (1723) – tuned in 53edo, rendered by [[Claudi Meneghin]] (2021)
+* [https://www.youtube.com/watch?v=ax43zKpDq9o ''"Jesus bleibet meine Freude"'' from ''Herz und Mund und Tat und Leben'', BWV 147] (1723) – tuned in 53edo, rendered by [[Claudi Meneghin]] (2021)
 * ''Prelude and Fugue in C Major, No. 1'', BWV 846, from ''The Well-Tempered Clavier'', Book I (1722) – rendered by [[Mykhaylo Khramov]]
-** [https://web.archive.org/web/20201127013408/http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Khramov/prelude1-53.mp3 Prelude] · [https://web.archive.org/web/20201127012701/http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Khramov/fugue1-53.mp3 Fugue]
+** [https://web.archive.org/web/20201127013408/http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Khramov/prelude1-53.mp3 Prelude]
-* [https://www.youtube.com/watch?v=WyLDjrLa94Y "Ricercar a 3" from ''The Musical Offering'', BWV 1079] (1747) – rendered by Claudi Meneghin (2024)
+** [https://web.archive.org/web/20201127012701/http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Khramov/fugue1-53.mp3 Fugue]
-* [https://www.youtube.com/watch?v=GK9YwSphw5Y "Ricercar a 6" from ''The Musical Offering'', BWV 1079] (1747) – rendered by Claudi Meneghin (2025)
+* [https://www.youtube.com/watch?v=WyLDjrLa94Y ''"Ricercar a 3"'' from ''The Musical Offering'', BWV 1079] (1747) – rendered by Claudi Meneghin (2024)
-* [https://www.youtube.com/watch?v=daWx5-iegW0 "Ricercar a 6" from ''The Musical Offering'', BWV 1079] (1747) – with syntonic-comma adjustment, rendered by Claudi Meneghin (2025)
+* ''"Ricercar a 6"'' from ''The Musical Offering'', BWV 1079 (1747) – rendered by Claudi Meneghin (2025)
-* [https://www.youtube.com/watch?v=dZyrIOMEmzo "Contrapunctus 4" from ''The Art of Fugue'', BWV 1080] (1742–1749) – rendered by Claudi Meneghin (2024)
+** [https://www.youtube.com/watch?v=GK9YwSphw5Y Near-Pythagorean version]
-* [https://www.youtube.com/watch?v=vcinR7nUthA "Contrapunctus 11" from ''The Art of Fugue'', BWV 1080] (1742–1749) – rendered by Claudi Meneghin (2024)
+** [https://www.youtube.com/watch?v=daWx5-iegW0 Schismatic version]
+* [https://www.youtube.com/watch?v=dZyrIOMEmzo ''"Contrapunctus 4"'' from ''The Art of Fugue'', BWV 1080] (1742–1749) – rendered by Claudi Meneghin (2024)
+* [https://www.youtube.com/watch?v=vcinR7nUthA ''"Contrapunctus 11"'' from ''The Art of Fugue'', BWV 1080] (1742–1749) – rendered by Claudi Meneghin (2024)
 ; {{W|Nicolaus Bruhns}}
@@ Line 1,169: / Line 1,172: @@
 ; {{w|Frédéric Chopin}}
-* Prelude Op. 28, No. 4 in E minor « Suffocation » (1839), arranged for harpsichord, tuned into 53-edo &mdash; rendered by [[Claudi Meneghin]] (2025)
+* Prelude Op. 28, No. 4 in E minor « Suffocation » (1839), arranged for harpsichord, tuned into 53-edo — rendered by [[Claudi Meneghin]] (2025)
 ** [https://www.youtube.com/watch?v=0VB1hv0-AmE Near-Pythagorean version]
-** [https://www.youtube.com/shorts/iYtZGBKHcpU Schismatic version]
+** [https://www.youtube.com/watch?v=iYtZGBKHcpU Schismatic version]
-* [https://www.youtube.com/shorts/4YEHMpaO4bA ''"Waterfall" Étude from 12 Études, op. 10''] (1829–1832) &mdash; rendered by Claudi Meneghin (2025)
+* [https://www.youtube.com/shorts/4YEHMpaO4bA ''"Waterfall" Étude from 12 Études, op. 10''] (1829–1832) — rendered by Claudi Meneghin (2025)
+; {{W|Gabriel Fauré}}
+* ''Pavane'', op. 50 (1887) — arranged for harpsichord and rendered by Claudi Meneghin (2026)
+** [https://www.youtube.com/watch?v=lTDdD2hIRx4 Near-Pythagorean version]
+; {{W|Toby Fox}}
+* [https://www.youtube.com/shorts/zCthwbPH2cY ''Finale''] via ''Undertale'' (2015) – microtonal cover in 53edo by [[Bryan Deister]] (2026)
 ; {{W|George Frideric Handel}}
@@ Line 1,180: / Line 1,190: @@
 * ''Maple Leaf Rag'' (1899) – arranged for harpsichord and rendered by Claudi Meneghin ([https://www.youtube.com/watch?v=AKXMuhB3uHQ 2024 version]; [https://www.youtube.com/shorts/VsOk3az8J40 2025 version]))
 * ''Maple Leaf Rag'' (1899) – with syntonic comma adjustment, arranged for harpsichord and rendered by Claudi Meneghin ([https://www.youtube.com/watch?v=t-pRqKGX0oo 2024 version]; [https://www.youtube.com/shorts/msBeUJjFlV4 (2025 version)]
+; [https://vocaloid.fandom.com/wiki/Mushi-P Mushi-P (muship)]
+* [https://www.youtube.com/shorts/8jKjvVw4tvw ''Color & Electricity''] (2016) – microtonal cover in 53edo by [[Bryan Deister]] (2025)
 ; {{W|Shirō Sagisu}}
@@ Line 1,185: / Line 1,198: @@
 * [https://www.youtube.com/watch?v=DCENVnxH6bI ''Bande-announce''] – rendered by MortisTheneRd (2024)
-==== 21st century ====
+=== 21st century ===
 ; [[ALLY195]]
 * [https://www.bilibili.com/video/BV1f54y1r7XG/ ''My Soul adaptation''] (2020)
@@ Line 1,194: / Line 1,207: @@
 ; [[Bryan Deister]]
 * [https://www.youtube.com/shorts/r-Tzq33OGM4 ''microtonal improvisation in 53edo''] (2025)
-* [https://www.youtube.com/shorts/8jKjvVw4tvw ''Color & Electricity - muship (microtonal cover in 53edo)''] (2025)
+* ''Fantasy in 53edo'' (2025)
-* [https://www.youtube.com/shorts/tIx3PcOyNJo ''53edo improv''] (2025)
+** [https://www.youtube.com/shorts/tIx3PcOyNJo ''<nowiki>Fantasy in 53edo [short clip]</nowiki>''] (2025) (Lumatone view; formerly titled ''53edo improv'')
-* ''Fantasy in 53edo'' ([https://www.youtube.com/shorts/fgsT-1pBw8g abstract version]; [https://www.youtube.com/watch?v=-q-T3HuGehk visualizer version] (2025)
+** [https://www.youtube.com/watch?v=fgsT-1pBw8g ''<nowiki>[full abstract art version]</nowiki>'']
-* [https://www.youtube.com/shorts/zCthwbPH2cY ''Finale - Undertale (microtonal cover in 53edo)''] (2026)
+** [https://www.youtube.com/watch?v=-q-T3HuGehk ''<nowiki>[full visualizer version]</nowiki>'']
 * ''Waltz in 53edo'' (2026)
-** [https://www.youtube.com/shorts/WtSaDQCyfVc <nowiki>[Short]</nowiki>] (with Lumatone view))
+** [https://www.youtube.com/shorts/WtSaDQCyfVc <nowiki>[Short]</nowiki>] (Lumatone view)
 ** [https://www.youtube.com/watch?v=_xumSANdf-g <nowiki>[Full version]</nowiki>]
 * [https://www.youtube.com/shorts/7YfZZ7aMvH8 ''53edo groove''] (2026)
+* [https://www.youtube.com/shorts/k5lepAk19nA ''53edo improv''] (2026-09-18)
 ; [[Francium]]