Talk:Gallery of just intervals: Difference between revisions

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~~= ARCHIVED WIKISPACES DISCUSSION BELOW =~~

~~'''All discussion below is archived from the Wikispaces export in its original unaltered form.'''~~

~~----~~

== ~~color names~~ ==

== Sound examples ==

~~I'd like to add color names~~ for ~~all~~ these ~~intervals~~. ~~Seems~~ it would ~~qualify as~~ a "~~nickname" or even as "poetry~~". ~~But~~ I ~~don~~'~~t want to step on any toes,~~ and ~~I *really* don't want to put a bunch of time into it~~, ~~only to have someone delete all my work. What say you all?~~

There are sound examples for many of these ratios. I think it would be a good idea to just link those sound files directly in the table. On the other hand, I'm not sure where a "sound example" column should be inserted. (I'm thinking it should be inserted between the "cent value" and the "color notation name" columns) --[[User:Userminusone|Userminusone]] ([[User talk:Userminusone|talk]]) 20:36, 10 April 2021 (UTC)

~~Also~~ I think ~~monzos are needed for any ratio~~ with ~~numbers over 2 digits~~.

: I think the problem with the sound examples (at least some of them) is that they tend to be so close to each other that they will be hard to distinguish from each other. --[[User:Xenwolf|Xenwolf]] ([[User talk:Xenwolf|talk]]) 23:07, 10 April 2021 (UTC)

~~Some color name examples here~~:

:: Yeah, I can see that --[[User:Userminusone|Userminusone]] ([[User talk:Userminusone|talk]]) 01:22, 11 April 2021 (UTC)

~~http~~:~~//xenharmonic~~.~~wikispaces~~.~~com/7-limit+interval+names~~

== 1145141919810:1919810114514 ==

I would like to submit an interval (even though the fraction has not been simplified): 1145141919810:1919810114514. It is a major sixth.

- ~~'''TallKite''' October 15~~, ~~2016, 01:28~~:~~03 AM UTC-0700~~

-- [[User:PrySigneToFexia|PrySigneToFexia]] at 20:40 2025.9.27 Sat (CST), talk at [[User_talk:PrySigneToFexia|here]]

~~----~~

~~== 17-limit~~ interval ~~names ==~~

: What is the significance of this interval? What got you interested in it?

~~I just added some simple 17-limit intervals to this list. I have been exploring them~~ in my work recently. A question: are they any conventions for naming these intervals? Is there an established 17-limit analogue to "septimal," "undecimal" and "tridecimal"? How about "heptadecimal" or "septadecimal"?

~~I'll be glad to give them names according to a similar logic~~ (~~17/15 as "septadecimal whole tone for instance~~), ~~but there's no need to reinvent the wheel in case somebody's already done this work.~~

: --[[User:BudjarnLambeth|BudjarnLambeth]] ([[User talk:BudjarnLambeth|talk]]) 22:00, 27 September 2025 (UTC)

~~- '''Andrew_Heathwaite''' September 14, 2011, 04:18:27 PM UTC-0700~~

== 336/317 ==

~~----~~

This interval is an accidental discovery when I'm messing around with Xenpaper. It sounds really like semitone in 12-edo. I want to call it 12-edo step under just intonation.

~~Ok,~~ I ~~answered my own question by consulting http://www~~.~~huygens~~-~~fokker~~.~~org/docs/intervals.html~~ -~~- the established word is septendecimal~~. ~~I updated the list with the septendecimal names on that page and came up with analogous names for the missing ones. The whole set is thus:~~

~~18/17 == small septendecimal semitone~~

It's about 100.8 cents.

17~~/16 == large septendecimal semitone~~

-- [[User:PrySigneToFexia|PrySigneToFexia]] at 17:11 2026.7.20 Mon (CST) ([[User_talk:PrySigneToFexia|talk with me]])

17/~~15 == septendecimal whole tone~~

: It seems quite complex to me (especially with 317 being prime), and there are many intervals close to 100¢ with a similar level of complexity or less, such as [[18/17]] (very simple, 1¢ flat), 107/101 (two smaller primes, 0,1¢ flat), etc. In other words, the name "12-edo step under just intonation" could be attributed to many intervals, and I probably wouldn't choose 336/317 if I have to choose one. --[[User:Fredg999|Fredg999]] ([[User talk:Fredg999|talk]]) 21:10, 20 July 2026 (UTC)

20/17 == ~~septendecimal augemented second, septendecimal minor third~~

== 451/301 ==

Yet another 12EDO-esque perfect 5th. I'm not sure if it has more offset than Kirnberger's fifth.

~~17/14 == septendecimal supraminor third~~

I tested it on Xenpaper and I got approximately 700.0 cents.

~~22/17 == septendecimal supermajor third~~

-- [[User:PrySigneToFexia|I'm PrySigneToFexia,]] [[User_talk:PrySigneToFexia|you can talk with me at here.]] I posted this at 10:54 2026.7.21 Tue (CST).

17/13 == ~~septendecimal sub~~-~~fourth~~

== 13607/10800 ==

Even though it is very 12EDO-esque, it contains a big prime, 1237. I don't think it will be collected into the gallery since 1237's a big prime.

~~24/17 == 1st septendecimal tritone~~

-- [[User:PrySigneToFexia|I'm PrySigneToFexia,]] [[User_talk:PrySigneToFexia|you can talk with me at here.]] I posted this at 13:21 2026.7.22 Wed (CST)

~~17/12 == 2nd septendecimal tritone~~

: What's your point? Please use this talk page meaningfully. Explain the issues, propose actionable outcomes, argue with clear points.

~~26/17 == septendecimal super-fifth~~

: If you just wonder about the criteria of inclusion for the table, the answer is we don't have one. It's something we'd like to work towards in future.

~~17/11 == septendecimal subminor sixth~~

: —[[User:FloraC|FloraC]] ([[User talk:FloraC|talk]]) 08:52, 22 July 2026 (UTC)

28/~~17 == septendecimal submajor sixth~~ (~~does anyone know a better word for the complement to a supraminor than submajor?~~)

:: I'm always trying to find just intervals that is very close to 12-EDO intervals, 13607/10800 is one of them.

:: It will be used in my "just-temper mix".

:: -- [[User:PrySigneToFexia|I'm PrySigneToFexia,]] [[User_talk:PrySigneToFexia|you can talk with me at here.]] I posted this at 22:57 2026.7.23 Thu (CST)

~~17/10 == septendecimal diminished seventh, septendecimal major sixth~~

::: I suggest you create a [[Help:User pages#Subpages|user subpage]] instead of using this page, since a collection of complex near-12edo intervals doesn't fit with the wiki's [[XW:NG|notability guidelines]]. --[[User:Fredg999|Fredg999]] ([[User talk:Fredg999|talk]]) 15:08, 23 July 2026 (UTC)

~~30/17 == septendecimal minor seventh~~

~~32/17 == small septendecimal major seventh~~

~~17/9 == large septendecimal major seventh~~

~~- '''Andrew_Heathwaite''' September 17, 2011, 09~~:18:~~53 AM UTC-0700~~

~~----~~

~~== Colons or forward slashes ==~~

~~TutimDeft changed the colons to forward slashes. If anyone wants to change it back, let me say first that I like it better this way also.~~

~~- '''genewardsmith''' May 25, 2011, 07~~:~~44:15 PM UTC-0700~~

~~----~~

~~On the contrary,~~ I ~~would agree that it is better now (even if the colon is very common in German).~~

~~- '''xenwolf''' May 25, 2011, 11~~:~~45:47 PM UTC-0700~~

~~----~~

~~I am not opposed to the change to forward slashes. For my own use, I prefer to use forward slashes for actual pitches in scales (the name being a reference to some 1/1) and colons for intervals~~, ~~which may or may not be from some 1/1. Thus 3/2 is a pitch in~~ a ~~scale that happens to be 3:2 above the pitch called 1/1. I think this distinction between members~~ of ~~a scale and~~ intervals ~~between members of scales is important, but it~~ doesn't ~~necessarily need to be distinguished in this particular way~~.

- ~~'''Andrew_Heathwaite''' May 26, 2011, 11~~:34:~~40 AM~~ UTC~~-0700~~

~~----~~

@@ Line 1: / Line 1: @@
-= ARCHIVED WIKISPACES DISCUSSION BELOW =
+{{WSArchiveLink}}
-'''All discussion below is archived from the Wikispaces export in its original unaltered form.'''
+{{High priority}}
-----
-== color names ==
+== Sound examples ==
-I'd like to add color names for all these intervals. Seems it would qualify as a "nickname" or even as "poetry". But I don't want to step on any toes, and I *really* don't want to put a bunch of time into it, only to have someone delete all my work. What say you all?
+There are sound examples for many of these ratios. I think it would be a good idea to just link those sound files directly in the table. On the other hand, I'm not sure where a "sound example" column should be inserted. (I'm thinking it should be inserted between the "cent value" and the "color notation name" columns) --[[User:Userminusone|Userminusone]] ([[User talk:Userminusone|talk]]) 20:36, 10 April 2021 (UTC)
-Also I think monzos are needed for any ratio with numbers over 2 digits.
+: I think the problem with the sound examples (at least some of them) is that they tend to be so close to each other that they will be hard to distinguish from each other. --[[User:Xenwolf|Xenwolf]] ([[User talk:Xenwolf|talk]]) 23:07, 10 April 2021 (UTC)
-Some color name examples here:
+:: Yeah, I can see that --[[User:Userminusone|Userminusone]] ([[User talk:Userminusone|talk]]) 01:22, 11 April 2021 (UTC)
-http://xenharmonic.wikispaces.com/7-limit+interval+names
+== 1145141919810:1919810114514 ==
+I would like to submit an interval (even though the fraction has not been simplified): 1145141919810:1919810114514. It is a major sixth.
-- '''TallKite''' October 15, 2016, 01:28:03 AM UTC-0700
+-- [[User:PrySigneToFexia|PrySigneToFexia]] at 20:40 2025.9.27 Sat (CST), talk at [[User_talk:PrySigneToFexia|here]]
-----
-== 17-limit interval names ==
+: What is the significance of this interval? What got you interested in it?
-I just added some simple 17-limit intervals to this list.  I have been exploring them in my work recently.  A question: are they any conventions for naming these intervals?  Is there an established 17-limit analogue to "septimal," "undecimal" and "tridecimal"?  How about "heptadecimal" or "septadecimal"?
-I'll be glad to give them names according to a similar logic (17/15 as "septadecimal whole tone for instance), but there's no need to reinvent the wheel in case somebody's already done this work.
+: --[[User:BudjarnLambeth|BudjarnLambeth]] ([[User talk:BudjarnLambeth|talk]]) 22:00, 27 September 2025 (UTC)
-- '''Andrew_Heathwaite''' September 14, 2011, 04:18:27 PM UTC-0700
+== 336/317 ==
-----
+This interval is an accidental discovery when I'm messing around with Xenpaper. It sounds really like semitone in 12-edo. I want to call it 12-edo step under just intonation.
-Ok, I answered my own question by consulting http://www.huygens-fokker.org/docs/intervals.html -- the established word is septendecimal.  I updated the list with the septendecimal names on that page and came up with analogous names for the missing ones.  The whole set is thus:
-/17 == small septendecimal semitone
+It's about 100.8 cents.
-/16 == large septendecimal semitone
+-- [[User:PrySigneToFexia|PrySigneToFexia]] at 17:11 2026.7.20 Mon (CST) ([[User_talk:PrySigneToFexia|talk with me]])
-/15 == septendecimal whole tone
+: It seems quite complex to me (especially with 317 being prime), and there are many intervals close to 100¢ with a similar level of complexity or less, such as [[18/17]] (very simple, 1¢ flat), 107/101 (two smaller primes, 0,1¢ flat), etc. In other words, the name "12-edo step under just intonation" could be attributed to many intervals, and I probably wouldn't choose 336/317 if I have to choose one. --[[User:Fredg999|Fredg999]] ([[User talk:Fredg999|talk]]) 21:10, 20 July 2026 (UTC)
-/17 == septendecimal augemented second, septendecimal minor third
+== 451/301 ==
+Yet another 12EDO-esque perfect 5th. I'm not sure if it has more offset than Kirnberger's fifth.
-/14 == septendecimal supraminor third
+I tested it on Xenpaper and I got approximately 700.0 cents.
-/17 == septendecimal supermajor third
+-- [[User:PrySigneToFexia|I'm PrySigneToFexia,]] [[User_talk:PrySigneToFexia|you can talk with me at here.]] I posted this at 10:54 2026.7.21 Tue (CST).
-/13 == septendecimal sub-fourth
+== 13607/10800 ==
+Even though it is very 12EDO-esque, it contains a big prime, 1237. I don't think it will be collected into the gallery since 1237's a big prime.
-/17 == 1st septendecimal tritone
+-- [[User:PrySigneToFexia|I'm PrySigneToFexia,]] [[User_talk:PrySigneToFexia|you can talk with me at here.]] I posted this at 13:21 2026.7.22 Wed (CST)
-/12 == 2nd septendecimal tritone
+: What's your point? Please use this talk page meaningfully. Explain the issues, propose actionable outcomes, argue with clear points.
-/17 == septendecimal super-fifth
+: If you just wonder about the criteria of inclusion for the table, the answer is we don't have one. It's something we'd like to work towards in future.
-/11 == septendecimal subminor sixth
+: —[[User:FloraC|FloraC]] ([[User talk:FloraC|talk]]) 08:52, 22 July 2026 (UTC)
-/17 == septendecimal submajor sixth (does anyone know a better word for the complement to a supraminor than submajor?)
+:: I'm always trying to find just intervals that is very close to 12-EDO intervals, 13607/10800 is one of them.
+:: It will be used in my "just-temper mix".
+:: -- [[User:PrySigneToFexia|I'm PrySigneToFexia,]] [[User_talk:PrySigneToFexia|you can talk with me at here.]] I posted this at 22:57 2026.7.23 Thu (CST)
-/10 == septendecimal diminished seventh, septendecimal major sixth
+::: I suggest you create a [[Help:User pages#Subpages|user subpage]] instead of using this page, since a collection of complex near-12edo intervals doesn't fit with the wiki's [[XW:NG|notability guidelines]]. --[[User:Fredg999|Fredg999]] ([[User talk:Fredg999|talk]]) 15:08, 23 July 2026 (UTC)
-/17 == septendecimal minor seventh
-/17 == small septendecimal major seventh
-/9 == large septendecimal major seventh
-- '''Andrew_Heathwaite''' September 17, 2011, 09:18:53 AM UTC-0700
-----
-== Colons or forward slashes ==
-TutimDeft changed the colons to forward slashes. If anyone wants to change it back, let me say first that I like it better this way also.
-- '''genewardsmith''' May 25, 2011, 07:44:15 PM UTC-0700
-----
-On the contrary, I would agree that it is better now (even if the colon is very common in German).
-- '''xenwolf''' May 25, 2011, 11:45:47 PM UTC-0700
-----
-I am not opposed to the change to forward slashes.  For my own use, I prefer to use forward slashes for actual pitches in scales (the name being a reference to some 1/1) and colons for intervals, which may or may not be from some 1/1.  Thus 3/2 is a pitch in a scale that happens to be 3:2 above the pitch called 1/1.  I think this distinction between members of a scale and intervals between members of scales is important, but it doesn't necessarily need to be distinguished in this particular way.
-- '''Andrew_Heathwaite''' May 26, 2011, 11:34:40 AM UTC-0700
-----