30edo - Revision history

Eliora: /* MOS scales */

2026-08-07T19:01:31Z

MOS scales

← Older revision		Revision as of 19:01, 7 August 2026
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	== Scales ==		== Scales ==
	=== MOS scales ===		=== MOS scales ===
			{{Main\|List of MOS scales in 30edo}}

	* [[Lovecraft5\|Lovecraft[5]]] - 77772		* [[Lovecraft5\|Lovecraft[5]]] - 77772
	* [[Lovecraft9\|Lovecraft[9]]] - 525252522		* [[Lovecraft9\|Lovecraft[9]]] - 525252522

Eliora: /* Subsets and supersets */

2026-08-05T02:18:08Z

Subsets and supersets

← Older revision		Revision as of 02:18, 5 August 2026
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	30edo is the 3rd {{w\|primorial}} edo, being the product of first three primes and thus the smallest number with three distinct prime factors. As a corollary, 30edo is the smallest EDO that supports [[perfectly balanced]] scales that are minimal and not equally spaced. See the article on perfect balance.		30edo is the 3rd {{w\|primorial}} edo, being the product of first three primes and thus the smallest number with three distinct prime factors. As a corollary, 30edo is the smallest EDO that supports [[perfectly balanced]] scales that are minimal and not equally spaced. See the article on perfect balance.

			Some multiples of 30edo have high consistency limits - [[270edo]], [[1920edo]], and others are simply useful like [[60edo]]. [[Zinc]] temperament is a rich augmentation of 30edo.

	== Intervals ==		== Intervals ==

Lucius Chiaraviglio: /* Modern renderings */ Add ''Balatro Main Theme (2024)'' – microtonal cover in 30edo by Bryan Deister (2026)

2026-06-29T03:32:01Z

Modern renderings: Add ''Balatro Main Theme (2024)'' – microtonal cover in 30edo by Bryan Deister (2026)

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	; {{W\|Evanescence}}		; {{W\|Evanescence}}
	* [https://www.youtube.com/watch?v=ppHcUOpbnbI ''Bring Me To Life''] (2003) – microtonal cover in 30edo by [[Bryan Deister]] (2024)		* [https://www.youtube.com/watch?v=ppHcUOpbnbI ''Bring Me To Life''] (2003) – microtonal cover in 30edo by [[Bryan Deister]] (2024)

			; LouisF (Luis Clemente)
			* [https://www.youtube.com/shorts/ujkKJekgDhM ''Balatro Main Theme''] via {{W\|Balatro}} (2024) – microtonal cover in 30edo by [[Bryan Deister]] (2026)

	; {{W\|Mitski}}		; {{W\|Mitski}}

Lucius Chiaraviglio: /* Music */ Add Bryan Deister's ''Fantasy in 30edo'' (2026); convert 2 microtonal covers by Bryan Deister to Modern Renderings format (had to start Modern Renderings section for this)

2026-05-31T03:59:00Z

Music: Add Bryan Deister's ''Fantasy in 30edo'' (2026); convert 2 microtonal covers by Bryan Deister to Modern Renderings format (had to start Modern Renderings section for this)

← Older revision		Revision as of 03:59, 31 May 2026
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	== Music ==		== Music ==
			=== Modern renderings ===
			; {{W\|Evanescence}}
			* [https://www.youtube.com/watch?v=ppHcUOpbnbI ''Bring Me To Life''] (2003) – microtonal cover in 30edo by [[Bryan Deister]] (2024)

			; {{W\|Mitski}}
			* [https://www.youtube.com/shorts/4MI2opBMkd4 ''Eric''] (2012) – microtonal cover in 30edo by [[Bryan Deister]] (2025)

			=== 21st century ===
	; [[Bryan Deister]]		; [[Bryan Deister]]
	* [https://www.youtube.com/watch?v=uSpDz2Dmksw ''microtonal improvisation in 30edo''] (2023)		* [https://www.youtube.com/watch?v=uSpDz2Dmksw ''microtonal improvisation in 30edo''] (2023)
	* [https://www.youtube.com/watch?v=ppHcUOpbnbI ''Bring Me To Life - Evanesence (microtonal cover in 30edo)''] (2024)
	* [https://www.youtube.com/shorts/4MI2opBMkd4 ''Eric - Mitski (microtonal version in 30edo)''] (2025)
	* [https://www.youtube.com/watch?v=NP3HGr3ZD70&lc=UgxFBmbxZa5dF4ZPj0F4AaABAg.AFzcn1LkVZNAG4JYIvXZvZ ''minuet in 30edo''] (2025)		* [https://www.youtube.com/watch?v=NP3HGr3ZD70&lc=UgxFBmbxZa5dF4ZPj0F4AaABAg.AFzcn1LkVZNAG4JYIvXZvZ ''minuet in 30edo''] (2025)
	* [https://www.youtube.com/watch?v=pa4YMCae2tE ''waltz in 30edo''] (2025)		* [https://www.youtube.com/watch?v=pa4YMCae2tE ''waltz in 30edo''] (2025)
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	** [https://www.youtube.com/shorts/O6nOiLxYPdE <nowiki>[short]</nowiki>] (with Lumatone view)		** [https://www.youtube.com/shorts/O6nOiLxYPdE <nowiki>[short]</nowiki>] (with Lumatone view)
	** [https://www.youtube.com/watch?v=gyrb2-tt_m8 <nowiki>[full version]</nowiki>]		** [https://www.youtube.com/watch?v=gyrb2-tt_m8 <nowiki>[full version]</nowiki>]
			* [https://www.youtube.com/shorts/ZlXSZDSlH2c ''Fantasy in 30edo''] (2026)

	; [[Todd Harrop]]		; [[Todd Harrop]]

FloraC: /* Notation */ improve description

2026-05-12T14:17:44Z

Notation: improve description

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	=== Stein–Zimmermann–Gould notation ===		=== Stein–Zimmermann–Gould notation ===
	[[Stein–Zimmermann–Gould notation]] uses sharps and flats with arrows:		[[Stein–Zimmermann–Gould notation]] uses sharps and flats combined with quartertone accidentals and arrows:
	{{Sharpness-sharp6-szg}}		{{Sharpness-sharp6-szg}}

FloraC: /* Notation */ SZG notation

2026-05-12T12:44:00Z

Notation: SZG notation

← Older revision		Revision as of 12:44, 12 May 2026
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	== Notation ==		== Notation ==

	{\| class="wikitable center-all"		{\| class="wikitable center-all"
	\|+ style="font-size: 105%" \| Notation systems for 30edo		\|+ style="font-size: 105%" \| Notation systems for 30edo
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	! Cents		! Cents
	! colspan="3" \| [[Ups and downs notation]]		! colspan="3" \| [[Ups and downs notation]]
	! [[~~Armodue_theory~~\|Armodue ~~Notation~~]]		! [[Armodue theory\|Armodue notation]]
	\|-		\|-
	\| 0		\| 0
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	\|}		\|}

	=== ~~Ups~~ and downs notation ===		=== Stein–Zimmermann–Gould notation ===
	30edo can be notated with ups and downs, spoken as up, dup, trup, dudsharp, downsharp, sharp, upsharp etc. and down, dud, trud, dupflat etc.		[[Stein–Zimmermann–Gould notation]] uses sharps and flats with arrows:
			{{Sharpness-sharp6-szg}}

			If double arrows are not desirable, arrows can be attached to quarter-tone accidentals:
			{{Sharpness-sharp6-qt-szg}}

			=== Kite's ups and downs notation ===
			30edo can also be notated with [[Kite's ups and downs notation\|Kite's ups and downs]], spoken as up, dup, trup, dudsharp, downsharp, sharp, upsharp etc. and down, dud, trud, dupflat etc.
	{{Sharpness-sharp6a}}		{{Sharpness-sharp6a}}

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	{{Sharpness-sharp6b}}		{{Sharpness-sharp6b}}

	~~[[Alternative symbols for ups and downs notation#Sharp-6\| Alternative ups and downs]] have sharps and flats with arrows borrowed from extended [[Helmholtz–Ellis notation]]:~~		=== Sagittal notation ===
	~~{{Sharpness-sharp6}}~~		==== Best fifth notation ====
			This notation uses the same sagittal sequence as edos [[23edo #Second-best fifth notation\|23b]], [[37edo #Sagittal notation\|37]], and [[44edo #Sagittal notation\|44]], and is a superset of the notations for edos [[15edo #Sagittal notation\|15]], [[10edo #Sagittal notation\|10]], and [[5edo #Sagittal notation\|5]].
	~~If double arrows are not desirable, arrows can be attached to quarter-tone accidentals:~~
	~~{{Sharpness-sharp6-qt}}~~

	===Sagittal notation===
	====Best fifth notation====
	This notation uses the same sagittal sequence as ~~EDOs~~ [[23edo#Second-best fifth notation\|23b]], [[37edo#Sagittal notation\|37]], and [[44edo#Sagittal notation\|44]], and is a superset of the notations for ~~EDOs~~ [[15edo#Sagittal notation\|15]], [[10edo#Sagittal notation\|10]], and [[5edo#Sagittal notation\|5]].

	=====Evo and Revo flavors=====		===== Evo and Revo flavors =====

	<imagemap>		<imagemap>
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	</imagemap>		</imagemap>

	=====Evo-SZ flavor=====		===== Evo-SZ flavor =====

	<imagemap>		<imagemap>
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	</imagemap>		</imagemap>

	====Second-best fifth notation====		==== Second-best fifth notation ====
	This notation uses the same sagittal sequence as ~~EDOs~~ [[35edo#Sagittal notation\|35]] and [[40edo#Sagittal notation\|40]].		This notation uses the same sagittal sequence as edos [[35edo #Sagittal notation\|35]] and [[40edo #Sagittal notation\|40]].

	<imagemap>		<imagemap>

BudjarnLambeth: /* Music */

2026-04-27T10:31:59Z

Music

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	; [[Budjarn Lambeth]]		; [[Budjarn Lambeth]]
	* [https://www.youtube.com/watch?v=XT2K75X79sE ''Mavila[7] improvisation''] (2026)		* [https://www.youtube.com/watch?v=XT2K75X79sE ''Mavila(7) improvisation''] (2026)

	; [[Micronaive]]		; [[Micronaive]]

BudjarnLambeth: /* Music */ add 1

2026-04-27T10:31:47Z

Music: add 1

← Older revision		Revision as of 10:31, 27 April 2026
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	; [[Todd Harrop]]		; [[Todd Harrop]]
	* [https://spectropolrecords.bandcamp.com/track/todd-harrop-fifteen-short-pieces ''Fifteen Short Pieces'']		* [https://spectropolrecords.bandcamp.com/track/todd-harrop-fifteen-short-pieces ''Fifteen Short Pieces'']

			; [[Budjarn Lambeth]]
			* [https://www.youtube.com/watch?v=XT2K75X79sE ''Mavila[7] improvisation''] (2026)

	; [[Micronaive]]		; [[Micronaive]]

BudjarnLambeth: /* Other notable scales */

2026-04-19T02:38:23Z

Other notable scales

← Older revision		Revision as of 02:38, 19 April 2026
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	* [[Amiot]] scale: 6 1 6 1 6 1 6		* [[Amiot]] scale: 6 1 6 1 6 1 6
	* Augmented[6] (exact from [[15edo]]): 8 2 8 2 8 2		* Augmented[6] (exact from [[15edo]]): 8 2 8 2 8 2
			* Dusty{{idio}} (original tuning): 8 5 5 3 7 2
	* [[Equipentatonic]] (exact from [[5edo]]): 6 6 6 6 6		* [[Equipentatonic]] (exact from [[5edo]]): 6 6 6 6 6
	* Iron filing{{idio}} (original tuning): 3 2 2 2 1 2 2 3 1 3 1 2 2 1 3		* Iron filing{{idio}} (original tuning): 3 2 2 2 1 2 2 3 1 3 1 2 2 1 3

BudjarnLambeth: /* Other notable scales */

2026-04-18T23:46:46Z

Other notable scales

← Older revision		Revision as of 23:46, 18 April 2026
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	=== Other notable scales ===		=== Other notable scales ===
	* Approximation of [[Pelog]] lima: 3 4 10 3 10		* Approximation of [[Pelog]] lima: 3 4 10 3 10
			* Approximation of Hirajoshi for metallic/percussive timbres: 5 3 9 3 10
	* [[Amiot]] scale: 6 1 6 1 6 1 6		* [[Amiot]] scale: 6 1 6 1 6 1 6
	* Augmented[6] (exact from [[15edo]]): 8 2 8 2 8 2		* Augmented[6] (exact from [[15edo]]): 8 2 8 2 8 2