Talk:Magic comma: Difference between revisions

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= ARCHIVED WIKISPACES DISCUSSION BELOW =
{{WSArchiveLink}}
'''All discussion below is archived from the Wikispaces export in its original unaltered form.'''


<span style="color:#800000">'''PLEASE MAKE ANY NEW COMMENTS <u>ABOVE</u> THIS SECTION.'''</span> Anything below here is for archival purposes only.
== Construction of Magic comma ==
* First, take a base tone.
* Lower it by [[5/4|major third]] three times.
* Raise it by [[6/5|minor third]].
* Lower it by [[5/4|major third]].
* The final tone will be a magic comma lower than the base tone.


----
I got inspired from LΛMPLIGHT's constructing method which takes two more steps, but I simplified it. And this is the score I constructed on Xenpaper:
<pre>
(osc:sawtooth5)
{r'0}
[1/1, 3/2, 15/8, 9/4]--
[4/5, 6/5, 3/2, 9/5]--
[16/25, 24/25, 6/5, 36/25]--
[64/125, 96/125, 24/25, 144/125]--
[384/625, 576/625, 144/125, 864/625]--
[1536/3125, 2304/3125, 576/625, 3456/3125]--
[3072/3125, 4608/3125, 1152/625, 6912/3125]--
</pre>


== "small diesis" is 128/125 - ? ==
-- [[User:PrySigneToFexia|I'm PrySigneToFexia,]] [[User_talk:PrySigneToFexia|you can talk with me at here.]] I posted this at 18:50 2026.7.23 Thu (CST)
I see an inconsistency in the naming here. AFAIK, the term "small diesis" is generally used for the interval 128/125, not the magic comma. - ?


- '''hstraub''' September 25, 2013, 01:55:03 AM UTC-0700
: Please explain your point. —[[User:FloraC|FloraC]] ([[User talk:FloraC|talk]]) 10:54, 23 July 2026 (UTC)
----
: It might be interesting to add a link to LΛMPLIGHT's video to the page, if it specifically addresses the magic comma. Otherwise, this mostly seems like a different way of decomposing the magic comma (using a minor third to reduce the stack to an octave instead of a twelfth). The xenpaper excerpt might be more relevant on the page [[Comma pump examples#3125/3072 (magic or laquinyo)]]. --[[User:Fredg999|Fredg999]] ([[User talk:Fredg999|talk]]) 15:04, 23 July 2026 (UTC)
I don't know, but I see that there seems to be also an inconsistency between de:wp and en:wp
 
<ul><li>https://de.wikipedia.org/wiki/Diesis</li><li>https://en.wikipedia.org/wiki/Diesis</li></ul>
 
- '''xenwolf''' September 25, 2013, 02:16:39 AM UTC-0700
----
Googling, I get that 128/125 is sometimes called the great diesis, which can also mean 648/625, whereas the magic comma is the small diesis. 128/125 is also sometimes called the minor diesis.
 
- '''genewardsmith''' September 25, 2013, 03:31:51 AM UTC-0700
----
Hmm, www.huygens-fokker.org/docs/intervals.html calls 128/125 "diesis" or "minor diesis", 648/625 "major diesis" and 3125/3072 "small diesis".
 
In german (www.huygens-fokker.org/docs/intervalle.html ), 128/125 is "Diësis" or "kleine Diësis", 648/625 "grosse Diësis" and 3125/3072 "geringe Diësis".
 
The difference between "minor" and "small" /"klein" and "gering" is quite subtle and easily confused...
 
- '''hstraub''' September 25, 2013, 05:54:12 AM UTC-0700
----

Latest revision as of 15:04, 23 July 2026

This page also contains archived Wikispaces discussion.

Construction of Magic comma

  • First, take a base tone.
  • Lower it by major third three times.
  • Raise it by minor third.
  • Lower it by major third.
  • The final tone will be a magic comma lower than the base tone.

I got inspired from LΛMPLIGHT's constructing method which takes two more steps, but I simplified it. And this is the score I constructed on Xenpaper:

(osc:sawtooth5)
{r'0}
[1/1, 3/2, 15/8, 9/4]--
[4/5, 6/5, 3/2, 9/5]--
[16/25, 24/25, 6/5, 36/25]--
[64/125, 96/125, 24/25, 144/125]--
[384/625, 576/625, 144/125, 864/625]--
[1536/3125, 2304/3125, 576/625, 3456/3125]--
[3072/3125, 4608/3125, 1152/625, 6912/3125]--

-- I'm PrySigneToFexia, you can talk with me at here. I posted this at 18:50 2026.7.23 Thu (CST)

Please explain your point. —FloraC (talk) 10:54, 23 July 2026 (UTC)
It might be interesting to add a link to LΛMPLIGHT's video to the page, if it specifically addresses the magic comma. Otherwise, this mostly seems like a different way of decomposing the magic comma (using a minor third to reduce the stack to an octave instead of a twelfth). The xenpaper excerpt might be more relevant on the page Comma pump examples#3125/3072 (magic or laquinyo). --Fredg999 (talk) 15:04, 23 July 2026 (UTC)