78/71: Difference between revisions

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m infoboxified (omg 71-limit monzo)
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Added color and FJS names, misc. edits, categories
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{{Infobox Interval
{{Infobox Interval
| JI glyph =
| Ratio = 78/71
| Ratio = 78/71
| Monzo = 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 -1
| Monzo = 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 -1
| Cents = 162.78612
| Cents = 162.78612
| Name =  
| Name = porcupine neutral second
| Color name =  
| Color name = 71u3o2, <br>fitwewutho 2nd/seventy-wutho 2nd
| FJS name =  
| FJS name = m2<sup>13</sup><sub>71</sub>
| Sound = jid_78_71_pluck_adu_dr220.mp3
| Sound = jid_78_71_pluck_adu_dr220.mp3
}}
}}


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]].
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]].


[[Category:Interval]]
[[Category:71-limit]]
[[Category:Second]]
[[Category:Neutral second]]
[[Category:Porcupine]]
[[Category:Pages with internal sound examples]]

Revision as of 06:40, 6 January 2022

Interval information
Ratio 78/71
Subgroup monzo 2.3.13.71 [1 1 1 -1
Size in cents 162.7861¢
Name porcupine neutral second
Color name 71u3o2,
fitwewutho 2nd/seventy-wutho 2nd
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.