User:BudjarnLambeth/Gallery of just intervals - Revision history

BudjarnLambeth at 06:56, 24 January 2025

2025-01-24T06:56:01Z

← Older revision		Revision as of 06:56, 24 January 2025
Line 1:		Line 1:
	Cleared this page in case it was the cause of the drop in Google search rankings ~~(multiple pages with very similar content can cause drops in search rankings - probably that wasn't it, but just to be safe)~~. I have moved it to: https://aux-xenharmonic.fandom.com/wiki/User:BudjarnLambeth/Gallery_of_just_intervals		Cleared this page in case it was the cause of the drop in Google search rankings. I have moved it to: https://aux-xenharmonic.fandom.com/wiki/User:BudjarnLambeth/Gallery_of_just_intervals

BudjarnLambeth: Cleared this page in case it was the cause of the drop in Google search rankings (multiple pages with very similar content can cause drops in search rankings - probably that wasn't it, but just to be safe). I have moved it to: https://aux-xenharmonic.fandom.com/wiki/User:BudjarnLambeth/Gallery_of_just_intervals

2025-01-24T06:45:01Z

Cleared this page in case it was the cause of the drop in Google search rankings (multiple pages with very similar content can cause drops in search rankings - probably that wasn't it, but just to be safe). I have moved it to: https://aux-xenharmonic.fandom.com/wiki/User:BudjarnLambeth/Gallery_of_just_intervals

← Older revision		Revision as of 06:45, 24 January 2025
Line 1:		Line 1:
	~~{{Editable user~~ page}}		Cleared this page in case it was the cause of the drop in Google search rankings (multiple pages with very similar content can cause drops in search rankings - probably that wasn't it, but just to be safe). I have moved it to: https://aux-xenharmonic.fandom.com/wiki/User:BudjarnLambeth/Gallery_of_just_intervals

	~~The following is a gallery of many [[just intonation]] intervals which contributors to this wiki have found notable.~~

	~~The gallery consists of nine 'exhibits'.~~

	~~== Exhibit I: JI ratios for beginners ==~~
	~~'''Visit at [[User:BudjarnLambeth/Beginners\|Gallery of just intervals/Beginners]]'''~~

	~~This is a small, strictly curated collection of only the most notable [[JI]] intervals. These are the ones it is most helpful to familiarise oneself with.~~

	~~== Exhibit II: Comprehensive collection of ratios ==~~
	~~'''Visit at [[User:BudjarnLambeth/Comprehensive\|Gallery of just intervals/Comprehensive]]'''~~

	~~This is a huge collection of every single JI interval that meets a certain set of criteria. This may be useful when searching for JI ratios~~ in ~~very narrow, specific range of [[cents]] values.~~

	~~== Exhibit III: Freeform collection of ratios ==~~
	~~'''Visit at [[User:BudjarnLambeth/Freeform\|Gallery of just intervals/Freeform]]'''~~

	~~This is a huge collection of any JI interval that any editor happens to find interesting enough to write about. This collection is not systematic nor curated, anyone can add any interval to~~ it~~. This may be useful when looking for trends in~~ the ~~intervals xenharmonic theorists are actually interested in writing about in practice, and trying to figure out why.~~

	~~== Exhibit IV: Beyond the octave ==~~
	~~'''Visit at [[User:BudjarnLambeth/Above octave\|Gallery~~ of ~~just intervals/Above octave]]'''~~

	~~This is a mid sized collection of any JI interval bigger than~~ the ~~[[octave]]~~ (~~2/1),~~ with ~~particular focus on small integer ratios. This collection is not systematic and is only lightly curated. This may be useful when looking for intervals to use~~ in ~~scales with an [[equave]] larger than 1200 cents, for example [[3/1]] (the tritave), [[4/1]] (the double octave) or [[5/1]] (the pentave).~~

	~~== Exhibit V: Unnoticeable commas ==~~
	~~'''Visit at [[Unnoticeable comma]]'''~~

	~~This is a huge collection of any [[comma]] smaller than 3.5 cents. This may be useful when looking for commas~~ that ~~produce high-[[complexity]], high-[[error\|accuracy]] temperaments, or even [[microtemperament]]s.~~

	~~== Exhibit VI: Small commas ==~~
	'~~''Visit at [[Small comma]]'''~~

	~~This is a huge collection of any [[comma]] between 3.5 and 30 cents. This may be useful when looking for commas that produce medium-to-high complexity~~, ~~medium-~~to~~-high accuracy temperaments.~~

	~~== Exhibit VII: Medium commas ==~~
	~~'''Visit at [[Medium comma]]'''~~

	~~This is a huge collection of any comma between 30 and 100 cents. This may~~ be ~~useful when looking for commas that produce low-to-medium complexity, low-to-medium accuracy temperaments.~~

	~~== Exhibit VIII: Large commas ==~~
	~~'''Visit at [[Large comma]]'''~~

	~~This is a huge collection of any comma bigger than a 12edo semitone (100 cents~~). ~~This may be useful when looking for commas that produce low-complexity, low-accuracy [[exotemperament]]s.~~

	~~== Exhibit IX~~: ~~Harmonics 128-256 ==~~
	~~'''Visit at [[List of octave-reduced harmonics]]'''~~

	~~This is a list of all ratios with a numerator <= 255 and a denominator that is a power of 2. This may be useful for finding [[chord]]s or [[scale]]s that are contained in the [[harmonic series]].~~

	~~== Other lists of intervals ==~~
	* [[Harmonic entropy of just intervals]] (a procedurally generated list of intervals between 0 and 3600 cents)
	* [[List of superparticular intervals]]
	* [[List of taxicab-2 intervals]]

	~~== Other resources ==~~
	* [http://www.bestii.com/%7Emschulter/IntervalSpectrumRegions.txt Regions of the Interval Spectrum] by [[Margo Schulter]] ''([https://~~www.webcitation.org/5xeoz4zmC Permalink])''~~
	* [http://www.huygens-~~fokker~~.~~org/docs/intervals.html Manuel Op de Coul interval list]~~
	* [http://www.kylegann.com/~~Octave.html Anantomy of an Octave] by [[Kyle Gann]]~~
	* [http:/~~/www.tallkite.com/AlternativeTunings.html Alternative Tunings: Theory, Notation and Practice] by [[Kite Giedraitis]]~~
	* [https:/~~/misotanni.github.io/fjs/en/calc.html FJS interval calculators]~~
	* [http://www.huygens-fokker.org/docs/intervals.html Stichting Huygens-Fokker: List of intervals]

	~~[[Category:Lists of intervals]]~~
	~~[[Category:Just intonation]]~~

BudjarnLambeth: Added line breaks I forgot to add

2025-01-22T17:36:32Z

Added line breaks I forgot to add

← Older revision		Revision as of 17:36, 22 January 2025
Line 32:		Line 32:
	== Exhibit VI: Small commas ==		== Exhibit VI: Small commas ==
	'''Visit at [[Small comma]]'''		'''Visit at [[Small comma]]'''

	This is a huge collection of any [[comma]] between 3.5 and 30 cents. This may be useful when looking for commas that produce medium-to-high complexity, medium-to-high accuracy temperaments.		This is a huge collection of any [[comma]] between 3.5 and 30 cents. This may be useful when looking for commas that produce medium-to-high complexity, medium-to-high accuracy temperaments.

	== Exhibit VII: Medium commas ==		== Exhibit VII: Medium commas ==
	'''Visit at [[Medium comma]]'''		'''Visit at [[Medium comma]]'''

	This is a huge collection of any comma between 30 and 100 cents. This may be useful when looking for commas that produce low-to-medium complexity, low-to-medium accuracy temperaments.		This is a huge collection of any comma between 30 and 100 cents. This may be useful when looking for commas that produce low-to-medium complexity, low-to-medium accuracy temperaments.

	== Exhibit VIII: Large commas ==		== Exhibit VIII: Large commas ==
	'''Visit at [[Large comma]]'''		'''Visit at [[Large comma]]'''

	This is a huge collection of any comma bigger than a 12edo semitone (100 cents). This may be useful when looking for commas that produce low-complexity, low-accuracy [[exotemperament]]s.		This is a huge collection of any comma bigger than a 12edo semitone (100 cents). This may be useful when looking for commas that produce low-complexity, low-accuracy [[exotemperament]]s.

	== Exhibit IX: Harmonics 128-256 ==		== Exhibit IX: Harmonics 128-256 ==
	'''Visit at [[List of octave-reduced harmonics]]'''		'''Visit at [[List of octave-reduced harmonics]]'''

	This is a list of all ratios with a numerator <= 255 and a denominator that is a power of 2. This may be useful for finding [[chord]]s or [[scale]]s that are contained in the [[harmonic series]].		This is a list of all ratios with a numerator <= 255 and a denominator that is a power of 2. This may be useful for finding [[chord]]s or [[scale]]s that are contained in the [[harmonic series]].

BudjarnLambeth: Fixed a typo, corrected a link, updated intro sentences to include the new exhibit added by Kite

2025-01-22T17:35:54Z

Fixed a typo, corrected a link, updated intro sentences to include the new exhibit added by Kite

← Older revision		Revision as of 17:35, 22 January 2025
Line 3:		Line 3:
	The following is a gallery of many [[just intonation]] intervals which contributors to this wiki have found notable.		The following is a gallery of many [[just intonation]] intervals which contributors to this wiki have found notable.

	The gallery consists of ~~eight~~ 'exhibits'.		The gallery consists of nine 'exhibits'.

	== Exhibit I: JI ratios for beginners ==		== Exhibit I: JI ratios for beginners ==
Line 44:		Line 44:
	== Exhibit IX: Harmonics 128-256 ==		== Exhibit IX: Harmonics 128-256 ==
	'''Visit at [[List of octave-reduced harmonics]]'''		'''Visit at [[List of octave-reduced harmonics]]'''
			This is a list of all ratios with a numerator <= 255 and a denominator that is a power of 2. This may be useful for finding [[chord]]s or [[scale]]s that are contained in the [[harmonic series]].
	This is a list of all ratios with a numerator <= 255 and a denominator that is a power of 2. This may be useful for finding ~~chords~~ or ~~scales~~ that are contained i the harmonic series.

	== Other lists of intervals ==		== Other lists of intervals ==

TallKite: added link to harmonics 128-256

2025-01-22T06:29:18Z

added link to harmonics 128-256

← Older revision		Revision as of 06:29, 22 January 2025
Line 41:		Line 41:
	'''Visit at [[Large comma]]'''		'''Visit at [[Large comma]]'''
	This is a huge collection of any comma bigger than a 12edo semitone (100 cents). This may be useful when looking for commas that produce low-complexity, low-accuracy [[exotemperament]]s.		This is a huge collection of any comma bigger than a 12edo semitone (100 cents). This may be useful when looking for commas that produce low-complexity, low-accuracy [[exotemperament]]s.

			== Exhibit IX: Harmonics 128-256 ==
			'''Visit at [[List of octave-reduced harmonics]]'''

			This is a list of all ratios with a numerator <= 255 and a denominator that is a power of 2. This may be useful for finding chords or scales that are contained i the harmonic series.

	== Other lists of intervals ==		== Other lists of intervals ==

BudjarnLambeth: /* Other lists of intervals */

2025-01-22T04:26:10Z

Other lists of intervals

← Older revision		Revision as of 04:26, 22 January 2025
Line 43:		Line 43:

	== Other lists of intervals ==		== Other lists of intervals ==
	* [[Harmonic entropy of just intervals]] (a procedurally generated ~~gallery~~ of intervals between 0 and 3600 cents)		* [[Harmonic entropy of just intervals]] (a procedurally generated list of intervals between 0 and 3600 cents)
	* [[List of superparticular intervals]]		* [[List of superparticular intervals]]
	* [[List of taxicab-2 intervals]]		* [[List of taxicab-2 intervals]]

BudjarnLambeth: /* Exhibit III: Freeform collection of ratios */

2025-01-22T00:48:47Z

Exhibit III: Freeform collection of ratios

← Older revision		Revision as of 00:48, 22 January 2025
Line 18:		Line 18:
	'''Visit at [[User:BudjarnLambeth/Freeform\|Gallery of just intervals/Freeform]]'''		'''Visit at [[User:BudjarnLambeth/Freeform\|Gallery of just intervals/Freeform]]'''

	This is a huge collection of any JI interval that any editor happens to find interesting enough to write about. This collection is not ~~systemstic~~ nor curated, anyone can add any interval to it. This may be useful when looking for trends in the intervals xenharmonic theorists are actually interested in writing about in practice, and trying to figure out why.		This is a huge collection of any JI interval that any editor happens to find interesting enough to write about. This collection is not systematic nor curated, anyone can add any interval to it. This may be useful when looking for trends in the intervals xenharmonic theorists are actually interested in writing about in practice, and trying to figure out why.

	== Exhibit IV: Beyond the octave ==		== Exhibit IV: Beyond the octave ==

BudjarnLambeth: /* Exhibit IV: Beyond the octave */

2025-01-22T00:48:27Z

Exhibit IV: Beyond the octave

← Older revision		Revision as of 00:48, 22 January 2025
Line 23:		Line 23:
	'''Visit at [[User:BudjarnLambeth/Above octave\|Gallery of just intervals/Above octave]]'''		'''Visit at [[User:BudjarnLambeth/Above octave\|Gallery of just intervals/Above octave]]'''

	This is a mid sized collection of any JI interval bigger than the [[octave]] (2/1), with particular focus on small integer ratios. This collection is not ~~systemstic~~ and is only lightly curated. This may be useful when looking for intervals to use in scales with an [[equave]] larger than 1200 cents, for example [[3/1]] (the tritave), [[4/1]] (the double octave) or [[5/1]] (the pentave).		This is a mid sized collection of any JI interval bigger than the [[octave]] (2/1), with particular focus on small integer ratios. This collection is not systematic and is only lightly curated. This may be useful when looking for intervals to use in scales with an [[equave]] larger than 1200 cents, for example [[3/1]] (the tritave), [[4/1]] (the double octave) or [[5/1]] (the pentave).

	== Exhibit V: Unnoticeable commas ==		== Exhibit V: Unnoticeable commas ==

BudjarnLambeth: /* Exhibit V: Unnoticeable commas */

2025-01-22T00:47:11Z

Exhibit V: Unnoticeable commas

← Older revision		Revision as of 00:47, 22 January 2025
Line 28:		Line 28:
	'''Visit at [[Unnoticeable comma]]'''		'''Visit at [[Unnoticeable comma]]'''

	This is a huge collection of any [[comma]] smaller than 3.5 cents. This may be useful when looking for commas that produce high-[[complexity]], high-[[accuracy]] temperaments, or even [[microtemperament]]s.		This is a huge collection of any [[comma]] smaller than 3.5 cents. This may be useful when looking for commas that produce high-[[complexity]], high-[[error\|accuracy]] temperaments, or even [[microtemperament]]s.

	== Exhibit VI: Small commas ==		== Exhibit VI: Small commas ==

BudjarnLambeth: Created page with "{{Editable user page}} The following is a gallery of many just intonation intervals which contributors to this wiki have found notable. The gallery consists of eight 'ex..."

2025-01-22T00:43:30Z

Created page with "{{Editable user page}} The following is a gallery of many just intonation intervals which contributors to this wiki have found notable. The gallery consists of eight 'ex..."

New page

{{Editable user page}}

The following is a gallery of many [[just intonation]] intervals which contributors to this wiki have found notable.

The gallery consists of eight 'exhibits'.

== Exhibit I: JI ratios for beginners ==
'''Visit at [[User:BudjarnLambeth/Beginners|Gallery of just intervals/Beginners]]'''

This is a small, strictly curated collection of only the most notable [[JI]] intervals. These are the ones it is most helpful to familiarise oneself with.

== Exhibit II: Comprehensive collection of ratios ==
'''Visit at [[User:BudjarnLambeth/Comprehensive|Gallery of just intervals/Comprehensive]]'''

This is a huge collection of every single JI interval that meets a certain set of criteria. This may be useful when searching for JI ratios in very narrow, specific range of [[cents]] values.

== Exhibit III: Freeform collection of ratios ==
'''Visit at [[User:BudjarnLambeth/Freeform|Gallery of just intervals/Freeform]]'''

This is a huge collection of any JI interval that any editor happens to find interesting enough to write about. This collection is not systemstic nor curated, anyone can add any interval to it. This may be useful when looking for trends in the intervals xenharmonic theorists are actually interested in writing about in practice, and trying to figure out why.

== Exhibit IV: Beyond the octave ==
'''Visit at [[User:BudjarnLambeth/Above octave|Gallery of just intervals/Above octave]]'''

This is a mid sized collection of any JI interval bigger than the [[octave]] (2/1), with particular focus on small integer ratios. This collection is not systemstic and is only lightly curated. This may be useful when looking for intervals to use in scales with an [[equave]] larger than 1200 cents, for example [[3/1]] (the tritave), [[4/1]] (the double octave) or [[5/1]] (the pentave).

== Exhibit V: Unnoticeable commas ==
'''Visit at [[Unnoticeable comma]]'''

This is a huge collection of any [[comma]] smaller than 3.5 cents. This may be useful when looking for commas that produce high-[[complexity]], high-[[accuracy]] temperaments, or even [[microtemperament]]s.

== Exhibit VI: Small commas ==
'''Visit at [[Small comma]]'''
This is a huge collection of any [[comma]] between 3.5 and 30 cents. This may be useful when looking for commas that produce medium-to-high complexity, medium-to-high accuracy temperaments.

== Exhibit VII: Medium commas ==
'''Visit at [[Medium comma]]'''
This is a huge collection of any comma between 30 and 100 cents. This may be useful when looking for commas that produce low-to-medium complexity, low-to-medium accuracy temperaments.

== Exhibit VIII: Large commas ==
'''Visit at [[Large comma]]'''
This is a huge collection of any comma bigger than a 12edo semitone (100 cents). This may be useful when looking for commas that produce low-complexity, low-accuracy [[exotemperament]]s.

== Other lists of intervals ==
* [[Harmonic entropy of just intervals]] (a procedurally generated gallery of intervals between 0 and 3600 cents)
* [[List of superparticular intervals]]
* [[List of taxicab-2 intervals]]

== Other resources ==
* [http://www.bestii.com/%7Emschulter/IntervalSpectrumRegions.txt Regions of the Interval Spectrum] by [[Margo Schulter]] ''([https://www.webcitation.org/5xeoz4zmC Permalink])''
* [http://www.huygens-fokker.org/docs/intervals.html Manuel Op de Coul interval list]
* [http://www.kylegann.com/Octave.html Anantomy of an Octave] by [[Kyle Gann]]
* [http://www.tallkite.com/AlternativeTunings.html Alternative Tunings: Theory, Notation and Practice] by [[Kite Giedraitis]]
* [https://misotanni.github.io/fjs/en/calc.html FJS interval calculators]
* [http://www.huygens-fokker.org/docs/intervals.html Stichting Huygens-Fokker: List of intervals]

[[Category:Lists of intervals]]
[[Category:Just intonation]]