User:PiotrGrochowski/Interval summary: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
No edit summary
Xenwolf (talk | contribs)
m Xenwolf moved page Interval summary to User:PiotrGrochowski/Interval summary over redirect: just another "comparison project" nobody is interested to take part in
 
(9 intermediate revisions by 3 users not shown)
Line 27: Line 27:
[[9/8]], 203.910 cents — greater major second [[16/9]]
[[9/8]], 203.910 cents — greater major second [[16/9]]


[[8/7]], 231.174 cents — septimal major second [[7/4]]
[[8/7]], 231.174 cents — septimal supermajor second [[7/4]]


[[7/6]], 266.871 cents — septimal minor third [[12/7]]
[[7/6]], 266.871 cents — septimal subminor third [[12/7]]


[[6/5]], 315.641 cents — perfect minor third [[5/3]]
[[6/5]], 315.641 cents — perfect minor third [[5/3]]
Line 35: Line 35:
[[5/4]], 386.314 cents — perfect major third [[8/5]]
[[5/4]], 386.314 cents — perfect major third [[8/5]]


[[9/7]], 435.084 cents — septimal major third [[14/9]]
[[9/7]], 435.084 cents — septimal supermajor third [[14/9]]


[[4/3]], 498.045 cents — perfect fourth [[3/2]]
[[4/3]], 498.045 cents — perfect fourth


[[7/5]], 582.512 cents — septimal augmented fourth [[10/7]]
[[7/5]], 582.512 cents — septimal augmented fourth
 
[[10/7]], 617.488 cents — septimal diminished fifth
 
[[3/2]], 701.955 cents — perfect fifth
 
== Xenwolf's summary ==
 
== Mike Battaglia's summary ==
 
== Dave Keenan's summary ==
 
== Spt3125's summary ==
 
== Keenan Pepper's summary ==
 
== Igliashon's summary ==
 
== TallKite's summary ==
 
== Gareth.hearne's summary ==
 
== Margo Schulter's summary ==

Latest revision as of 21:30, 16 October 2018

PiotrGrochowski's summary

interval description
unison 1/1, or 0 cents in any tuning
augmented unison 28/27, 25/24, 21/20, 135/128
minor second 16/15, 15/14, 27/25
major second 10/9, 9/8
fifth The perfect fifth is 3/2, or 701.955 cents.
1/4 comma meantone: 696.578 cents
12edo: 700 cents
17edo: 705.882 cents
19edo: 694.737 cents
22edo: 709.091 cents

Below is me trying to name all the 15-odd-limit intervals.

10/9, 182.404 cents – lesser major second 9/5

9/8, 203.910 cents — greater major second 16/9

8/7, 231.174 cents — septimal supermajor second 7/4

7/6, 266.871 cents — septimal subminor third 12/7

6/5, 315.641 cents — perfect minor third 5/3

5/4, 386.314 cents — perfect major third 8/5

9/7, 435.084 cents — septimal supermajor third 14/9

4/3, 498.045 cents — perfect fourth

7/5, 582.512 cents — septimal augmented fourth

10/7, 617.488 cents — septimal diminished fifth

3/2, 701.955 cents — perfect fifth

Xenwolf's summary

Mike Battaglia's summary

Dave Keenan's summary

Spt3125's summary

Keenan Pepper's summary

Igliashon's summary

TallKite's summary

Gareth.hearne's summary

Margo Schulter's summary