User:Lhearne - Revision history

Lhearne at 09:39, 13 October 2024

2024-10-13T09:39:51Z

← Older revision		Revision as of 09:39, 13 October 2024
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	* [https://www.dropbox.com/scl/fi/avkjwf3q5qqldp06brf26/Roman-numeral-and-neo-Riemannian-analyses.pdf?rlkey=9zbr9a4mbr80wfy9mpmy3emix&dl=0 Roman numeral and neo-Riemannian analyses of Blackwood's ''Suite for Guitar in 15-note Equal Tuning'']		* [https://www.dropbox.com/scl/fi/avkjwf3q5qqldp06brf26/Roman-numeral-and-neo-Riemannian-analyses.pdf?rlkey=9zbr9a4mbr80wfy9mpmy3emix&dl=0 Roman numeral and neo-Riemannian analyses of Blackwood's ''Suite for Guitar in 15-note Equal Tuning'']
	* [[~~The Pinetone System\|~~Pinetone]]		* [[Pinetone]]
	* Marvel Double Harmonic and Hexatonic System (to be written up)		* Marvel Double Harmonic and Hexatonic System (to be written up)
	* [[Extended-diatonic interval names]]		* [[Extended-diatonic interval names]]

Lhearne at 08:59, 1 April 2024

2024-04-01T08:59:00Z

← Older revision		Revision as of 08:59, 1 April 2024
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	* [[Gallery of 3-SN scales]]		* [[Gallery of 3-SN scales]]
	* [[ABACABA JI scales]]		* [[ABACABA JI scales]]
			* [[ABACABADABACABA JI scales]]
	* [[Gallery of omnitetrachordal scales#Scales with 3 step sizes]]		* [[Gallery of omnitetrachordal scales#Scales with 3 step sizes]]
	* [[Dipentatonic scales#Just dipentatonic scales]]		* [[Dipentatonic scales#Just dipentatonic scales]]

Lhearne at 07:03, 20 March 2024

2024-03-20T07:03:13Z

← Older revision		Revision as of 07:03, 20 March 2024
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	These pages provide supplementary material to the PhD thesis:		These pages provide supplementary material to the PhD thesis:

	Chapter 4 - [[the 16 most stable triads of 22edo]]		* Chapter 4 - [[the 16 most stable triads of 22edo]]
			* Chapter 5 - [[User:Lhearne/Analysis22-7\|Exemplar scales for the space of all possible 7-note scales of 22-TET]]
	Chapter 5 - [[User:Lhearne/Analysis22-7\|Exemplar scales for the space of all possible 7-note scales of 22-TET]]

	Some other work:		Some other work:

	[https://www.dropbox.com/scl/fi/avkjwf3q5qqldp06brf26/Roman-numeral-and-neo-Riemannian-analyses.pdf?rlkey=9zbr9a4mbr80wfy9mpmy3emix&dl=0 Roman numeral and neo-Riemannian analyses of Blackwood's ''Suite for Guitar in 15-note Equal Tuning'']		* [https://www.dropbox.com/scl/fi/avkjwf3q5qqldp06brf26/Roman-numeral-and-neo-Riemannian-analyses.pdf?rlkey=9zbr9a4mbr80wfy9mpmy3emix&dl=0 Roman numeral and neo-Riemannian analyses of Blackwood's ''Suite for Guitar in 15-note Equal Tuning'']
			* [[The Pinetone System\|Pinetone]]
	[[The Pinetone System]]		* Marvel Double Harmonic and Hexatonic System (to be written up)
			* [[Extended-diatonic interval names]]
	Marvel Double Harmonic and Hexatonic System (to be written up)		* [[FKH Extended-diatonic Interval Names\|FKH Extended-diatonic interval names]]
			* [[SKULO interval names]] (successor to FKH Extended-diatonic interval names): Sub-chroma accidentals as deviations from Pythagorean diatonic intervals: S/s, Super/sub, septimal, [[64/63]]; K/k, Komma-Wide/komma-narrow, klassisch, [[81/80]]; U/u, Über/unter, undecimal, [[33/32]]; L\l, Large\little, [[896/891]]; O/o, On/off, Oceanic, [[45/44]]. Great for [[10edo]], [[15edo]], [[17edo]] and [[22edo]], where U=K=1 and S=0; [[24edo]] and [[31edo]], where U=S=1, and K=0; [[41edo]], [[46edo]], and [[53edo]], where U=2 and S=K=1; [[72edo]], where U=3, S=O=2, and K=L=1; and [[118edo]], where U=5, O=4, S=3, K=2, and L=1. SKULO notation to follow.
	[[Extended-diatonic interval names]]		* [[Prima]] - an interval size measure for [[11-limit]] [[comma]] arithmetic: one step of [[12276edo]]; 1 prima represents a [[parimo]]; 20 prima to a [[schisma]], 220 prima to [[81/80]], and 240 prima to the [[Pythagorean comma]]; exactly 1023 prima to 1\[[12edo]], 558 prima to 1\[[22edo]], 396 prima to 1\[[31edo]], 170.5 prima to a [[morion]], and 10.23 prima to a [[cent]].
			* [[Rank-3 scale]]
	[[~~SHEFKHED~~ interval names]]		* [[SN scale\|Step-nested (SN) scales]] - generalization of [[MOS scales]] to n-dimensional [[regular temperaments]] (as ''n''-SN scales), where [[MOS scales]] are 2-SN scales. SN scales are symmetric, and can be uniquely definied by a step signature, i.e., 2L 1M 4s, and a mapping.
			* [[Gallery of 3-SN scales]]
	[[SKULO interval names]] (successor to ~~SHEFKHED~~ interval names): Sub-chroma accidentals as deviations from Pythagorean diatonic intervals: S/s, Super/sub, septimal, [[64/63]]; K/k, Komma-Wide/komma-narrow, klassisch, [[81/80]]; U/u, Über/unter, undecimal, [[33/32]]; L\l, Large\little, [[896/891]]; O/o, On/off, Oceanic, [[45/44]]. Great for [[10edo]], [[15edo]], [[17edo]] and [[22edo]], where U=K=1 and S=0; [[24edo]] and [[31edo]], where U=S=1, and K=0; [[41edo]], [[46edo]], and [[53edo]], where U=2 and S=K=1; [[72edo]], where U=3, S=O=2, and K=L=1; and [[118edo]], where U=5, O=4, S=3, K=2, and L=1. SKULO notation to follow.		* [[ABACABA JI scales]]
			* [[Gallery of omnitetrachordal scales#Scales with 3 step sizes]]
	[[Prima]] - an interval size measure for [[11-limit]] [[comma]] arithmetic: one step of [[12276edo]]; 1 prima represents a [[parimo]]; 20 prima to a [[schisma]], 220 prima to [[81/80]], and 240 prima to the [[Pythagorean comma]]; exactly 1023 prima to 1\[[12edo]], 558 prima to 1\[[22edo]], 396 prima to 1\[[31edo]], 170.5 prima to a [[morion]], and 10.23 prima to a [[cent]].		* [[Dipentatonic scales#Just dipentatonic scales]]
			* [[Magic Tetrachords]]
	[[Rank-3 scale]]

	[[SN scale\|Step-nested (SN) scales]] - generalization of [[MOS scales]] to n-dimensional [[regular temperaments]] (as ''n''-SN scales), where [[MOS scales]] are 2-SN scales. SN scales are symmetric, and can be uniquely definied by a step signature, i.e., 2L 1M 4s, and a mapping.

	[[Gallery of 3-SN scales]]

	[[ABACABA JI scales]]

	[[Gallery of omnitetrachordal scales#Scales with 3 step sizes]]

	[[Dipentatonic scales#Just dipentatonic scales]]

	[[Magic Tetrachords]]

	[[Category:User en-N]]		[[Category:User en-N]]

Lhearne: added link to paper on analyses of Blackwood's 15edo guitar etude, updated link to honours dissertation

2024-03-04T09:49:19Z

added link to paper on analyses of Blackwood's 15edo guitar etude, updated link to honours dissertation

← Older revision		Revision as of 09:49, 4 March 2024
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	Hello, my name's Lillian Hearne (she/her). I'm a native English speaker. Welcome to my Xenwiki page! This is where I'll link all of my research :)		Hello, my name's Lillian Hearne (she/her). I'm a native English speaker. Welcome to my Xenwiki page! This is where I'll link all of my research :)

	My honours ~~thesis~~ [https://www.dropbox.com/s/~~fwe6drjcotzjem8/Towards_a_new_model_for_microtonal_music~~.pdf~~?dl=0~~ Towards a new Model for microtonal music: The regular temperaments of 22edo], and my PhD thesis [https://www.dropbox.com/scl/fi/bwe3z98o4sfhw1fl22y4m/The-Cognition-of-Harmonic-Tonality-in-Microtonal-Scales-Lillian-M-Hearne.pdf?rlkey=665hh1iql4evczp0yieo1btmp&dl=0 The Cognition of Harmonic Tonality in Microtonal Scales], focus on [[22edo\|22edo.]]		My honours dissertation [https://www.dropbox.com/preview/Towards%20a%20new%20model%20for%20microtonal%20music.pdf Towards a new Model for microtonal music: The regular temperaments of 22edo], and my PhD thesis [https://www.dropbox.com/scl/fi/bwe3z98o4sfhw1fl22y4m/The-Cognition-of-Harmonic-Tonality-in-Microtonal-Scales-Lillian-M-Hearne.pdf?rlkey=665hh1iql4evczp0yieo1btmp&dl=0 The Cognition of Harmonic Tonality in Microtonal Scales], focus on [[22edo\|22edo.]]

	These pages provide supplementary material to the PhD thesis:		These pages provide supplementary material to the PhD thesis:
Line 10:		Line 10:

	Some other work:		Some other work:

			[https://www.dropbox.com/scl/fi/avkjwf3q5qqldp06brf26/Roman-numeral-and-neo-Riemannian-analyses.pdf?rlkey=9zbr9a4mbr80wfy9mpmy3emix&dl=0 Roman numeral and neo-Riemannian analyses of Blackwood's ''Suite for Guitar in 15-note Equal Tuning'']

	[[The Pinetone System]]		[[The Pinetone System]]

Lhearne at 02:21, 29 February 2024

2024-02-29T02:21:14Z

← Older revision		Revision as of 02:21, 29 February 2024
Line 12:		Line 12:

	[[The Pinetone System]]		[[The Pinetone System]]

			Marvel Double Harmonic and Hexatonic System (to be written up)

	[[Extended-diatonic interval names]]		[[Extended-diatonic interval names]]

Lhearne: updated porcutone link to pinetone (renamed page)

2024-02-29T02:12:21Z

updated porcutone link to pinetone (renamed page)

← Older revision		Revision as of 02:12, 29 February 2024
Line 11:		Line 11:
	Some other work:		Some other work:

	[[The ~~Porcutone~~ System]]		[[The Pinetone System]]

	[[Extended-diatonic interval names]]		[[Extended-diatonic interval names]]

Lhearne: Updated link so it's not to a page in my deadname :/

2024-02-22T03:41:46Z

Updated link so it's not to a page in my deadname :/

← Older revision		Revision as of 03:41, 22 February 2024
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	Chapter 4 - [[the 16 most stable triads of 22edo]]		Chapter 4 - [[the 16 most stable triads of 22edo]]

	Chapter 5 - [[User:~~Gareth.hearne~~/Analysis22-7\|Exemplar scales for the space of all possible 7-note scales of 22-TET]]		Chapter 5 - [[User:Lhearne/Analysis22-7\|Exemplar scales for the space of all possible 7-note scales of 22-TET]]

	Some other work:		Some other work:

Lhearne: updating links to my new dropbox

2024-02-22T03:27:35Z

updating links to my new dropbox

← Older revision		Revision as of 03:27, 22 February 2024
Line 1:		Line 1:
	Hello, my name's Lillian Hearne (she/her). I'm a native English speaker. Welcome to my Xenwiki page! This is where I'll link all of my research :)		Hello, my name's Lillian Hearne (she/her). I'm a native English speaker. Welcome to my Xenwiki page! This is where I'll link all of my research :)

	My honours thesis [https://www.dropbox.com/s/fwe6drjcotzjem8/Towards_a_new_model_for_microtonal_music.pdf?dl=0 Towards a new Model for microtonal music: The regular temperaments of 22edo], and my PhD thesis [https://www.dropbox.com/s/~~en7sssypwkzfn4b~~/The~~%20Cognition%20of%20Harmonic%20Tonality%20in%20Microtonal%20Scales%20~~-~~%20Lillian%20M%20Hearne~~.pdf?dl=0 The Cognition of Harmonic Tonality in Microtonal Scales], focus on [[22edo\|22edo.]]		My honours thesis [https://www.dropbox.com/s/fwe6drjcotzjem8/Towards_a_new_model_for_microtonal_music.pdf?dl=0 Towards a new Model for microtonal music: The regular temperaments of 22edo], and my PhD thesis [https://www.dropbox.com/scl/fi/bwe3z98o4sfhw1fl22y4m/The-Cognition-of-Harmonic-Tonality-in-Microtonal-Scales-Lillian-M-Hearne.pdf?rlkey=665hh1iql4evczp0yieo1btmp&dl=0 The Cognition of Harmonic Tonality in Microtonal Scales], focus on [[22edo\|22edo.]]

	These pages provide supplementary material to the PhD thesis:		These pages provide supplementary material to the PhD thesis:

Lhearne at 11:31, 12 February 2023

2023-02-12T11:31:23Z

← Older revision		Revision as of 11:31, 12 February 2023
Line 26:		Line 26:

	[[Gallery of 3-SN scales]]		[[Gallery of 3-SN scales]]

			[[ABACABA JI scales]]

	[[Gallery of omnitetrachordal scales#Scales with 3 step sizes]]		[[Gallery of omnitetrachordal scales#Scales with 3 step sizes]]

Lhearne at 06:41, 26 December 2022

2022-12-26T06:41:14Z

← Older revision		Revision as of 06:41, 26 December 2022
Line 19:		Line 19:
	[[SKULO interval names]] (successor to SHEFKHED interval names): Sub-chroma accidentals as deviations from Pythagorean diatonic intervals: S/s, Super/sub, septimal, [[64/63]]; K/k, Komma-Wide/komma-narrow, klassisch, [[81/80]]; U/u, Über/unter, undecimal, [[33/32]]; L\l, Large\little, [[896/891]]; O/o, On/off, Oceanic, [[45/44]]. Great for [[10edo]], [[15edo]], [[17edo]] and [[22edo]], where U=K=1 and S=0; [[24edo]] and [[31edo]], where U=S=1, and K=0; [[41edo]], [[46edo]], and [[53edo]], where U=2 and S=K=1; [[72edo]], where U=3, S=O=2, and K=L=1; and [[118edo]], where U=5, O=4, S=3, K=2, and L=1. SKULO notation to follow.		[[SKULO interval names]] (successor to SHEFKHED interval names): Sub-chroma accidentals as deviations from Pythagorean diatonic intervals: S/s, Super/sub, septimal, [[64/63]]; K/k, Komma-Wide/komma-narrow, klassisch, [[81/80]]; U/u, Über/unter, undecimal, [[33/32]]; L\l, Large\little, [[896/891]]; O/o, On/off, Oceanic, [[45/44]]. Great for [[10edo]], [[15edo]], [[17edo]] and [[22edo]], where U=K=1 and S=0; [[24edo]] and [[31edo]], where U=S=1, and K=0; [[41edo]], [[46edo]], and [[53edo]], where U=2 and S=K=1; [[72edo]], where U=3, S=O=2, and K=L=1; and [[118edo]], where U=5, O=4, S=3, K=2, and L=1. SKULO notation to follow.

	Prima - an interval size measure for [[11-limit]] [[comma]] arithmetic: one step of [[12276edo]]; 1 prima represents a [[parimo]]; 20 prima to a [[schisma]], 220 prima to [[81/80]], and 240 prima to the [[Pythagorean comma]]; exactly 1023 prima to 1\[[12edo]], 558 prima to 1\[[22edo]], 396 prima to 1\[[31edo]], 170.5 prima to a [[morion]], and 10.23 prima to a [[cent]].		[[Prima]] - an interval size measure for [[11-limit]] [[comma]] arithmetic: one step of [[12276edo]]; 1 prima represents a [[parimo]]; 20 prima to a [[schisma]], 220 prima to [[81/80]], and 240 prima to the [[Pythagorean comma]]; exactly 1023 prima to 1\[[12edo]], 558 prima to 1\[[22edo]], 396 prima to 1\[[31edo]], 170.5 prima to a [[morion]], and 10.23 prima to a [[cent]].

	[[Rank-3 scale]]		[[Rank-3 scale]]