19edf: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
← Older editNewer edit →
VisualWikitext
Wikispaces>FREEZE
No edit summary
Xenllium (talk | contribs)
autopatrolled, emailconfirmed
4,516 edits
No edit summary
Line 1: Line 1:
19edf falls exactly halfway between 32 and 33 edos. It tempers out the same commas as 65edo with the addition of <-27/19 65/19| (1.425¢) resulting from its inexact 4/1.
'''19EDF''' is the [[EDF|equal division of the just perfect fifth]] into 19 parts of 36.9450 [[cent|cents]] each, corresponding to 32.4807 [[edo]] (similar to every second step of [[65edo]]). It tempers out the same commas as 65edo with the addition of |-103/19 65/19> (1.425 cents) resulting from its inexact 4/1.


==Intervals==
==Intervals==
{| class="wikitable"
{| class="wikitable"
|-
! | degree
! | cents value
! | corresponding <br>JI intervals
! | comments
|-
| | 0
| | 0.0000
| | '''exact [[1/1]]'''
| |
|-
|-
| | 1
| | 1
| | 36.945
| | 36.9450
| |
| |
|-
|-
| | 2
| | 2
| | 73.89
| | 73.8900
| | [[24/23]]
| |
|-
|-
| | 3
| | 3
| | 110.835
| | 110.8350
| | [[16/15]]
| |
|-
|-
| | 4
| | 4
| | 147.78
| | 147.7800
| | [[12/11]]
| |
|-
|-
| | 5
| | 5
| | 184.725
| | 184.7250
| | [[10/9]]
| |
|-
|-
| | 6
| | 6
| | 221.67
| | 221.6700
| | [[25/22]]
| |
|-
|-
| | 7
| | 7
| | 258.615
| | 258.6150
| | 36/31
| |
|-
|-
| | 8
| | 8
| | 295.56
| | 295.5600
| | [[19/16]]
| |
|-
|-
| | 9
| | 9
| | 332.505
| | 332.5050
| | 63/52, 40/33
| |
|-
|-
| | 10
| | 10
| | 369.45
| | 369.4500
| | [[26/21]]
| |
|-
|-
| | 11
| | 11
| | 406.395
| | 406.3950
| | [[24/19]], [[19/15]]
| |
|-
|-
| | 12
| | 12
| | 443.34
| | 443.3400
| | 31/24
| |
|-
|-
| | 13
| | 13
| | 480.285
| | 480.2850
| | 33/25
| |
|-
|-
| | 14
| | 14
| | 517.23
| | 517.2300
| | [[27/20]]
| |
|-
|-
| | 15
| | 15
| | 554.175
| | 554.1750
| | [[11/8]]
| |
|-
|-
| | 16
| | 16
| | 591.12
| | 591.1200
| | [[45/32]]
| |
|-
|-
| | 17
| | 17
| | 628.065
| | 628.0650
| | [[23/16]]
| |
|-
|-
| | 18
| | 18
| | 665.01
| | 665.0100
| | [[22/15]]
| |
|-
|-
| | 19
| | 19
| | 701.955
| | 701.9550
| | '''exact [[3/2]]'''
| | just perfect fifth
|-
|-
| | 20
| | 20
| | 738.9
| | 738.9000
| |
| |
|-
|-
| | 21
| | 21
| | 775.845
| | 775.8450
| |
| |
|-
|-
| | 22
| | 22
| | 812.79
| | 812.7900
| | [[8/5]]
| |
|-
|-
| | 23
| | 23
| | 849.735
| | 849.7350
| | [[18/11]]
| |
|-
|-
| | 24
| | 24
| | 886.68
| | 886.6800
| | [[5/3]]
| |
|-
|-
| | 25
| | 25
| | 923.625
| | 923.6250
| |
| |
|-
|-
| | 26
| | 26
| | 960.57
| | 960.5700
| |
| |
|-
|-
| | 27
| | 27
| | 997.515
| | 997.5150
| | [[16/9]]
| |
|-
|-
| | 28
| | 28
| | 1034.46
| | 1034.4600
| | [[20/11]]
| |
|-
|-
| | 29
| | 29
| | 1071.405
| | 1071.4050
| | [[13/7]]
| |
|-
|-
| | 30
| | 30
| | 1108.35
| | 1108.3500
| | [[36/19]]
| |
|-
|-
| | 31
| | 31
| | 1145.295
| | 1145.2950
| | 31/16
| |
|-
|-
| | 32
| | 32
| | 1182.24
| | 1182.2400
| |
| |
|-
|-
| | 33
| | 33
| | 1219.185
| | 1219.1850
| |
| |
|}
|}
[[Category:Edf]]
[[Category:Edonoi]]

Revision as of 13:08, 6 February 2019

19EDF is the equal division of the just perfect fifth into 19 parts of 36.9450 cents each, corresponding to 32.4807 edo (similar to every second step of 65edo). It tempers out the same commas as 65edo with the addition of |-103/19 65/19> (1.425 cents) resulting from its inexact 4/1.

Intervals

degree cents value corresponding
JI intervals 		comments
0 0.0000 exact 1/1
1 36.9450
2 73.8900 24/23
3 110.8350 16/15
4 147.7800 12/11
5 184.7250 10/9
6 221.6700 25/22
7 258.6150 36/31
8 295.5600 19/16
9 332.5050 63/52, 40/33
10 369.4500 26/21
11 406.3950 24/19, 19/15
12 443.3400 31/24
13 480.2850 33/25
14 517.2300 27/20
15 554.1750 11/8
16 591.1200 45/32
17 628.0650 23/16
18 665.0100 22/15
19 701.9550 exact 3/2 just perfect fifth
20 738.9000
21 775.8450
22 812.7900 8/5
23 849.7350 18/11
24 886.6800 5/3
25 923.6250
26 960.5700
27 997.5150 16/9
28 1034.4600 20/11
29 1071.4050 13/7
30 1108.3500 36/19
31 1145.2950 31/16
32 1182.2400
33 1219.1850
Retrieved from "https://en.xen.wiki/index.php?title=19edf&oldid=40060"