User:Moremajorthanmajor/Relative cent problem - Revision history

Xenwolf: Xenwolf moved page Relative cent/Problem to User:Moremajorthanmajor/Relative cent problem: obvious misunderstanding (I'll link to it soon from the Talk:Relative cent )

2022-02-26T14:51:31Z

Xenwolf moved page Relative cent/Problem to User:Moremajorthanmajor/Relative cent problem: obvious misunderstanding (I'll link to it soon from the Talk:Relative cent )

← Older revision	Revision as of 14:51, 26 February 2022
(No difference)

Xenwolf: link to article in discussion

2022-02-26T14:48:53Z

link to article in discussion

← Older revision		Revision as of 14:48, 26 February 2022
Line 1:		Line 1:
	The problem of the relative cent, though, is that 3/2 is 58.496 percent of the octave, which means the relative goodness of 3/2 to it is very heavily dependent on which edo you divide by 100. But if you increase the divisor, the following situation emerges:		The problem of the [[relative cent]], though, is that 3/2 is 58.496 percent of the octave, which means the relative goodness of 3/2 to it is very heavily dependent on which edo you divide by 100. But if you increase the divisor, the following situation emerges:

	{\| class="wikitable"		{\| class="wikitable"

Xenwolf: /* See also */ better to get that the /two/ author links are only two "facets" of the same user

2020-10-24T20:05:25Z

See also: better to get that the /two/ author links are only two "facets" of the same user

← Older revision		Revision as of 20:05, 24 October 2020
Line 233:		Line 233:

	* [[Relative cent]]		* [[Relative cent]]
	* The author:		* The author: [[User:Moremajorthanmajor]] ([[User talk:Moremajorthanmajor\|User talk]])
	** [[User:Moremajorthanmajor]]
	** [[User talk:Moremajorthanmajor]]

	[[Category:Todo:clarify]]		[[Category:Todo:clarify]]

Xenwolf: (temporarily) removed from relative cent article for being clarified.

2020-06-13T09:20:33Z

(temporarily) removed from relative cent article for being clarified.

New page

The problem of the relative cent, though, is that 3/2 is 58.496 percent of the octave, which means the relative goodness of 3/2 to it is very heavily dependent on which edo you divide by 100. But if you increase the divisor, the following situation emerges:

{| class="wikitable"
|+
!Divisor
!Octave
!3/2
!*12
|-
|101
|1212 f¢
|59.081°
|708.975 f¢
|-
|102
|1224 M¢
|59.666
|715.994 Μ¢
|-
|103
|1236
|60.251
|723.014
|-
|104
|1248
|60.836
|730.033
|-
|105
|1260 ¢t
|61.421
|737.053 ¢t
|-
|106
|'''1272 π¢'''
|'''62.006'''
|'''744.072 π¢'''
|-
|107
|1284
|62.591
|751.092
|-
|108
|'''1296 (90012) ¢2.5'''
|'''63.176 (53.21412)'''
|'''758.111 (532.14112) ¢2.5'''
|-
|109
|1308
|63.761
|765.131
|-
|110
|1320
|64.346
|772.1505
|-
|111
|1332
|64.931
|779.17
|-
|112
|1344 (6C014) lb
|''65.516 (49.73114)''
|786.19 (402.29214) lb
|-
|113
|1356
|66.101
|793.209
|-
|114
|1368
|66.686
|800.229
|-
|115
|1380
|67.271
|807.248
|-
|116
|1392 ν¢
|67.856
|814.268 ν¢
|-
|117
|1404
|68.441
|821.287
|-
|118
|1416
|69.026
|828.307
|-
|119
|'''1428 μ¢'''
|'''69.6105'''
|'''835.3265 μ¢'''
|-
|120
|1440 (X0012) dF
|70.1955 (5X.24212)
|842.346 (5X2.41X12) dF
|-
|121
|1452 ¢2
|70.7805
|849.366 ¢2
|-
|122
|1464
|71.365
|856.385
|-
|123
|1476 ξ¢
|71.95
|863.405 ξ¢
|-
|124
|1488
|''72.535''
|870.424
|-
|125
|1500 ¢3
|73.12
|877.444 ¢3
|-
|126
|1512 (7A014)
|73.705 (53.9C314)
|''884.463 (472.66B14)''
|-
|127
|1524
|74.29
|''891.483''
|-
|128
|'''1536 (60016) 7mu'''
|'''74.875 (4A.E0116)'''
|'''''898.502 (382.8116) 7mu'''''
|-
|129
|1548
|''75.46''
|''905.522''
|-
|130
|1560 ρ¢
|76.045
|''912.5415'' ρ¢
|-
|131
|1572
|76.63
|919.561
|-
|132
|1584 (E0012)
|77.215 (65.2712)
|926.581 (652.6E712)
|-
|133
|1596
|77.8
|933.6
|-
|134
|1608
|78.385
|940.62
|-
|135
|'''1620'''
|'''78.97'''
|'''947.639'''
|-
|136
|1632 ₮
|79.555
|954.659 ₮
|-
|137
|1644
|80.14
|961.678
|-
|138
|1656
|80.725
|968.698
|-
|139
|1668
|81.31
|975.7175
|-
|140
|'''1680 (88014)'''
|'''81.895 (5B.C7514)'''
|'''982.737 (502.A4614)'''
|-
|141
|1692 ¢p
|''82.48''
|989.757
|-
|142
|1704
|83.065
|996.776
|-
|143
|'''1716'''
|'''83.65'''
|'''1003.796'''
|-
|144
|1728 (100012) ħ
|84.235 (70.29912)
|1010.82 (702.99512) ħ
|}
In other words, only each 12th divisor of the next 28 after 100 has the same problem as 100 does for use as the base of a relative cent. Also, the last three have the problem that they put 3/2 in the middle of a cent.

== See also ==

* [[Relative cent]]
* The author:
** [[User:Moremajorthanmajor]]
** [[User talk:Moremajorthanmajor]]

[[Category:Todo:clarify]]