225/128: Difference between revisions

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'''225/128'''
{{Infobox Interval
|-7 2 2>
| Icon =
| Ratio = 225/128
| Monzo = -7 2 2
| Cents = 976.53743
| Name = marvel five-limit harmonic seventh <br> Neapolitan augmented sixth
| Color name =
| Sound = jid_225_128_pluck_adu_dr220.mp3
}}


976.5374 cents
The '''marvel five-limit harmonic seventh''' is the interval '''225/128'''.  It is the interval between the [[5-limit]] minor second, [[16/15]], and the major seventh, [[15/8]], and, on account of this interval occurring in precisely this capacity in just Neapolitan scales, this interval can also be referred to as as the '''Neapolitan augmented sixth'''. It is a marvel comma, [[225/224]], sharp of the harmonic seventh, [[7/4]], and so tempering out 225/224, which is [[marvel]] temperament, equates the two. Marvel tempering is a useful method of tempering the 5-limit to include septimal harmony, making two minor seconds a supermajor second, [[8/7]] and two major seconds into [[7/6]].


[[File:jid_225_128_pluck_adu_dr220.mp3]] [[:File:jid_225_128_pluck_adu_dr220.mp3|sound sample]]
== See also ==


The '''marvel five-limit harmonic seventh''' is the interval '''225/128'''.  It is the interval between the [[5-limit|5-limit]] minor second, [[16/15|16/15]], and the major seventh, [[15/8|15/8]], and, on account of this interval occurring in precisely this capacity in just Neapolitan scales, this interval can also be referred to as as the '''Neapolitan augmented sixth'''. It is a marvel comma, 225/224, sharp of the harmonic seventh, [[7/4|7/4]], and so tempering out 225/224, which is [[Marvel|marvel]] temperament, equates the two. Marvel tempering is a useful method of tempering the 5-limit to include septimal harmony, making two minor seconds a supermajor second, [[8/7|8/7]] and two major seconds into [[7/6|7/6]].
* [[Gallery of just intervals]]
 
[[Category:5-limit]]
[[Category:Interval ratio]]
[[Category:Seventh]]
[[Category:Minor seventh]]
[[Category:Listen]]
[[Category:Marvel]]
 
[[Category:Todo:add color name]]

Revision as of 18:46, 16 September 2020

Interval information
Ratio 225/128
Factorization 2-7 × 32 × 52
Monzo [-7 2 2⟩
Size in cents 976.5374¢
Name marvel five-limit harmonic seventh
Neapolitan augmented sixth
FJS name [math]\displaystyle{ \text{A6}^{5,5} }[/math]
Special properties reduced,
reduced harmonic
Tenney norm (log2 nd) 14.8138
Weil norm (log2 max(n, d)) 15.6276
Wilson norm (sopfr(nd)) 30

[sound info]
Open this interval in xen-calc

The marvel five-limit harmonic seventh is the interval 225/128. It is the interval between the 5-limit minor second, 16/15, and the major seventh, 15/8, and, on account of this interval occurring in precisely this capacity in just Neapolitan scales, this interval can also be referred to as as the Neapolitan augmented sixth. It is a marvel comma, 225/224, sharp of the harmonic seventh, 7/4, and so tempering out 225/224, which is marvel temperament, equates the two. Marvel tempering is a useful method of tempering the 5-limit to include septimal harmony, making two minor seconds a supermajor second, 8/7 and two major seconds into 7/6.

See also

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