User:BudjarnLambeth/Gallery of just intervals: Difference between revisions

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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
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{{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]]

Revision as of 06:45, 24 January 2025

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

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