48/25: Difference between revisions

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**Imported revision 513416348 - Original comment: **
 
m Text replacement - " {{Interval_Edo_Approximation | " to "{{Interval edo approximation|"
 
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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
{{Infobox Interval
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
| Name = just diminished octave, classic(al) diminished octave, diptolemaic diminished octave
: This revision was by author [[User:spt3125|spt3125]] and made on <tt>2014-06-09 22:17:14 UTC</tt>.<br>
| Color name = gg8, gugu octave
: The original revision id was <tt>513416348</tt>.<br>
| Sound = jid_48_25_pluck_adu_dr220.mp3
: The revision comment was: <tt></tt><br>
}}
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
<h4>Original Wikitext content:</h4>
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">**48/25**
|4 1 -2&gt;
1129.3276 cents
[[media type="file" key="jid_48_25_pluck_adu_dr220.mp3"]] [[file:xenharmonic/jid_48_25_pluck_adu_dr220.mp3|sound sample]]


The classic ([[5-limit]]) diminished octave. Its inversion is [[25_24|25/24]].
'''48/25''' is the '''just diminished octave''', '''classic(al) diminished octave''' or '''diptolemaic diminished octave''' measuring about 1129.3 cents. It is the inversion of [[25/24]].  
</pre></div>
== Approximation ==
<h4>Original HTML content:</h4>
{{Interval edo approximation|48/25}}
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;48_25&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;strong&gt;48/25&lt;/strong&gt;&lt;br /&gt;
 
|4 1 -2&amp;gt;&lt;br /&gt;
== See also ==
1129.3276 cents&lt;br /&gt;
* [[25/24]] – its [[octave complement]]
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* [[Gallery of just intervals]]
&lt;br /&gt;
 
The classic (&lt;a class="wiki_link" href="/5-limit"&gt;5-limit&lt;/a&gt;) diminished octave.  Its inversion is &lt;a class="wiki_link" href="/25_24"&gt;25/24&lt;/a&gt;.&lt;/body&gt;&lt;/html&gt;</pre></div>
 
{{stub}}
 
[[Category:Octave]]
[[Category:Diminished octave]]

Latest revision as of 13:10, 3 November 2025

Interval information
Ratio 48/25
Factorization 24 × 3 × 5-2
Monzo [4 1 -2⟩
Size in cents 1129.328¢
Names just diminished octave,
classic(al) diminished octave,
diptolemaic diminished octave
Color name gg8, gugu octave
FJS name [math]\displaystyle{ \text{d8}_{5,5} }[/math]
Special properties reduced
Tenney norm (log2 nd) 10.2288
Weil norm (log2 max(n, d)) 11.1699
Wilson norm (sopfr(nd)) 21

[sound info]
Open this interval in xen-calc

48/25 is the just diminished octave, classic(al) diminished octave or diptolemaic diminished octave measuring about 1129.3 cents. It is the inversion of 25/24.

Approximation

Edo approximations for 48/25 (1129.33 ¢)
≤ 80edo, relative error ≤ 10%
Edo Step size Cents (¢) Absolute error (¢) Relative error (%)
16 15\16 1125.00 -4.33 -5.77
17 16\17 1129.41 +0.08 +0.12
18 17\18 1133.33 +4.01 +6.01
33 31\33 1127.27 -2.05 -5.65
34 32\34 1129.41 +0.08 +0.24
35 33\35 1131.43 +2.10 +6.13
50 47\50 1128.00 -1.33 -5.53
51 48\51 1129.41 +0.08 +0.36
52 49\52 1130.77 +1.44 +6.25
67 63\67 1128.36 -0.97 -5.41
68 64\68 1129.41 +0.08 +0.48
69 65\69 1130.43 +1.11 +6.37

See also


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