78/71: Difference between revisions

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m infoboxified (omg 71-limit monzo)
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'''78/71'''
{{Infobox Interval
| JI glyph =
| Ratio = 78/71
| Monzo = 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 -1
| Cents = 162.78612
| Name =
| Color name =
| FJS name =
| Sound = jid_78_71_pluck_adu_dr220.mp3
}}


= 2 * 3 * 13 * 71<span style="font-size: 80%; vertical-align: super;">-1</span>
The porcupine neutral second, '''78/71''' = 2 3 13 71<sup>−1</sup>, provides a good generator for [[Porcupine_family#Porcupine|porcupine temperament]]. It is between 3\[[22edo|22]] and 8\[[59edo|59]], and leads to a fifth of 711.642 cents, which is 9.687 cents sharp of [[3/2]].


162.7861 cents
[[Category:Interval]]
 
[[File:jid_78_71_pluck_adu_dr220.mp3]] [[:File:jid_78_71_pluck_adu_dr220.mp3|sound sample]]
 
The porcupine neutral second, 78/71, provides a good generator for [[Porcupine_family#Porcupine|porcupine temperament]]. It is between 3\[[22edo|22]] and 8\[[59edo|59]], and leads to a fifth of 711.642 cents, which is 9.687 cents sharp of [[3/2|3/2]].

Revision as of 17:22, 7 November 2020

Interval information
Ratio 78/71
Subgroup monzo 2.3.13.71 [1 1 1 -1
Size in cents 162.7861¢
Name(s) missing ? 
FJS name [math]\displaystyle{ \text{m2}^{13}_{71} }[/math]
Special properties reduced
Tenney height (log2 nd) 12.4351
Weil height (log2 max(n, d)) 12.5708
Wilson height (sopfr(nd)) 89

[sound info]
Open this interval in xen-calc

The porcupine neutral second, 78/71 = 2 ⋅ 3 ⋅ 13 ⋅ 71−1, provides a good generator for porcupine temperament. It is between 3\22 and 8\59, and leads to a fifth of 711.642 cents, which is 9.687 cents sharp of 3/2.