User:TallKite/41edo - Revision history

TallKite at 21:45, 6 December 2024

2024-12-06T21:45:35Z

← Older revision		Revision as of 21:45, 6 December 2024
Line 84:		Line 84:
	!31		!31
	\|-		\|-
	! colspan="2" \|~~Untempered~~ cents~~<br>~~([[Octave reduction\|reduced]])		! colspan="2" \|Just cents ([[Octave reduction\|reduced]])
	!1200		!1200
	!702		!702

TallKite at 21:31, 6 December 2024

2024-12-06T21:31:25Z

← Older revision		Revision as of 21:31, 6 December 2024
Line 84:		Line 84:
	!31		!31
	\|-		\|-
	! colspan="2" \|Untempered cents		! colspan="2" \|Untempered cents<br>([[Octave reduction\|reduced]])
	([[Octave reduction\|reduced]])
	!1200		!1200
	!702		!702

TallKite at 21:28, 6 December 2024

2024-12-06T21:28:55Z

← Older revision		Revision as of 21:28, 6 December 2024
Line 77:		Line 77:
	!7		!7
	!11		!11
	!13		![[13/8\|13]]
	!17		!17
	!19		!19
Line 85:		Line 85:
	\|-		\|-
	! colspan="2" \|Untempered cents		! colspan="2" \|Untempered cents
			([[Octave reduction\|reduced]])
	!1200		!1200
	!702		!702

TallKite at 21:13, 6 December 2024

2024-12-06T21:13:32Z

← Older revision		Revision as of 21:13, 6 December 2024
Line 1:		Line 1:
			Two examples of how I personally prefer to round off cents and percentages to whole numbers or 2 significant figures, whichever is more accurate.

	=== Prime harmonics ===		=== Prime harmonics ===
Line 4:		Line 5:
	\|+Approximation of prime harmonics in 41edo		\|+Approximation of prime harmonics in 41edo
	! colspan="2" \|Harmonic		! colspan="2" \|Harmonic
	!2		![[1200¢\|2]]
	!3		![[702¢\|3]]
	!5		![[386¢\|5]]
	!7		![[969¢\|7]]
	!11		![[551¢\|11]]
	!13		![[841¢\|13]]
	!17		![[105¢\|17]]
	!19		![[298¢\|19]]
	![[628¢\|23]]		![[628¢\|23]]
	![[1030¢\|29]]		![[1030¢\|29]]
Line 24:		Line 25:
	\| +4.8		\| +4.8
	\| +8.3		\| +8.3
	\| +12.1		\| +12
	\| -4.8		\| -4.8
	\| -~~13.6~~		\| -14
	\| -5.2		\| -5.2
	\| -3.6		\| -3.6
Line 33:		Line 34:
	\| +0.0		\| +0.0
	\| +1.7		\| +1.7
	\| -~~19.9~~		\| -20
	\| -10.2		\| -10
	\| +16.3		\| +16
	\| +28.2		\| +28
	\| +41.4		\| +41
	\| -~~16.5~~		\| -17
	\| -~~46.6~~		\| -47
	\| -~~17.7~~		\| -18
	\| -12.2		\| -12
	\|-		\|-
	! colspan="2" \|Steps		! colspan="2" \|Steps
Line 70:		Line 71:
	{\| class="wikitable"		{\| class="wikitable"
	\|+Approximation of prime harmonics in 41edo		\|+Approximation of prime harmonics in 41edo
	! colspan~~="2" rowspan~~="2" \|Harmonic		! colspan="2" \|Harmonic
	!2		!2
	!3		!3
Line 83:		Line 84:
	!31		!31
	\|-		\|-
	!0¢		! colspan="2" \|Untempered cents
	!~~702¢~~		!1200
	!~~386¢~~		!702
	!~~969¢~~		!386
	!		!969
	!		!551
	!		!841
	!		!105
	!		!298
	!		!628
	!~~1145¢~~		!1030
			!1145
	\|-		\|-
	! rowspan="2" \|Error		! rowspan="2" \|Error
Line 103:		Line 105:
	\| +4.8		\| +4.8
	\| +8.3		\| +8.3
	\| +12.1		\| +12
	\| -4.8		\| -4.8
	\| -~~13.6~~		\| -14
	\| -5.2		\| -5.2
	\| -3.6		\| -3.6
Line 112:		Line 114:
	\| +0.0		\| +0.0
	\| +1.7		\| +1.7
	\| -~~19.9~~		\| -20
	\| -10.2		\| -10
	\| +16.3		\| +16
	\| +28.2		\| +28
	\| +41.4		\| +41
	\| -~~16.5~~		\| -17
	\| -~~46.6~~		\| -47
	\| -~~17.7~~		\| -18
	\| -12.2		\| -12
	\|-		\|-
	! colspan="2" \|Steps		! colspan="2" \|Steps

TallKite: /* Prime harmonics */ another way to show cents

2024-12-05T18:41:23Z

Prime harmonics: another way to show cents

@@ Line 42: / Line 42: @@
 | -17.7
 | -12.2
 |-
 ! colspan="2" |Steps

TallKite: An example of how to make hovering over primes reveal their cents through invalid links! BTW the lack of decimal places is deliberate, it's extremely difficult to hear a tenth of a cent, and even harder to care about it!

2024-12-05T18:37:56Z

An example of how to make hovering over primes reveal their cents through invalid links! BTW the lack of decimal places is deliberate, it's extremely difficult to hear a tenth of a cent, and even harder to care about it!

New page

=== Prime harmonics ===
{| class="wikitable"
|+Approximation of prime harmonics in 41edo
! colspan="2" |Harmonic
!2
!3
!5
!7
!11
!13
!17
!19
![[628¢|23]]
![[1030¢|29]]
![[1145¢|31]]
|-
! rowspan="2" |Error
!Absolute ([[Cent|¢]])
| +0.0
| +0.5
| -5.8
| -3.0
| +4.8
| +8.3
| +12.1
| -4.8
| -13.6
| -5.2
| -3.6
|-
![[Relative interval error|Relative]] ([[Relative cent|%]])
| +0.0
| +1.7
| -19.9
| -10.2
| +16.3
| +28.2
| +41.4
| -16.5
| -46.6
| -17.7
| -12.2
|-
! colspan="2" |Steps
([[Octave reduction|reduced]])
|41
(0)
|65
(24)
|95
(13)
|115
(33)
|142
(19)
|152
(29)
|168
(4)
|174
(10)
|185
(21)
|199
(35)
|203
(39)
|}