143/128: Difference between revisions
Jump to navigation
Jump to search
Created page with "{{Infobox Interval | Icon = | Ratio = 143/128 | Monzo = -7 0 0 0 1 1 | Cents = 191.84560 | Name = grossmic whole tone | Color name = | FJS name = | Sound = }} '''143/128''..." |
mNo edit summary Tags: Visual edit Mobile edit Mobile web edit Advanced mobile edit |
||
| (3 intermediate revisions by 3 users not shown) | |||
| Line 1: | Line 1: | ||
{{Infobox Interval | {{Infobox Interval | ||
| Name = grossmic whole tone | | Name = grossmic whole tone | ||
| Color name = | | Color name = 3o1o2, tholo 2nd | ||
}} | }} | ||
'''143/128''', the '''grossmic whole tone''', is a [[13-limit]] whole-tone-type interval of about 191.85 [[cent]]s in size which separates [[13/8]] and [[16/11]] and likewise separates [[16/13]] from [[11/8]]. | '''143/128''', the '''grossmic whole tone''', is a [[13-limit]] whole-tone-type interval of about 191.85 [[cent]]s in size which separates [[13/8]] and [[16/11]] and likewise separates [[16/13]] from [[11/8]]. It is represented near perfectly in edos that are a multiple of 25, and as those that are multiples of 50 also represent 11/8 and 13/8 within a fraction of a cent, they give it a consistent identity. It differs from [[19/17]] by [[2432/2431]], making tempering that out an excellent way of associating 13-limit intervals with simpler 19-limit ones. Two of them fall short of [[5/4]] by [[20480/20449]]. It can be notated in Sagittal as C-D{{Sagittal|)~!}}, because it differs from [[9/8]] by [[144/143]]. | ||
== See also == | == See also == | ||
| Line 16: | Line 10: | ||
* [[192/143]] – its [[fifth complement]] | * [[192/143]] – its [[fifth complement]] | ||
* [[512/429]] – its [[fourth complement]] | * [[512/429]] – its [[fourth complement]] | ||
Latest revision as of 21:09, 21 August 2025
| Interval information |
reduced harmonic
143/128, the grossmic whole tone, is a 13-limit whole-tone-type interval of about 191.85 cents in size which separates 13/8 and 16/11 and likewise separates 16/13 from 11/8. It is represented near perfectly in edos that are a multiple of 25, and as those that are multiples of 50 also represent 11/8 and 13/8 within a fraction of a cent, they give it a consistent identity. It differs from 19/17 by 2432/2431, making tempering that out an excellent way of associating 13-limit intervals with simpler 19-limit ones. Two of them fall short of 5/4 by 20480/20449. It can be notated in Sagittal as C-D , because it differs from 9/8 by 144/143.
See also
- 256/143 – its octave complement
- 192/143 – its fifth complement
- 512/429 – its fourth complement