Topic: Notation Check

1 scales

File Description Notes Period (ยข) Limit
Sparschuh440Hz c"526#555 d"589#624 e"658 f"702#740 g"788#832 a"880#936 b"987 12 1200.0 263

Thread (5 messages)

From: tomhchappell (2008-10-30)
Subject: Notation Check

Have I got these right?

frequency based on 2* = 12 half-steps	frequency based on 3* = 19 
half-steps	frequency based on 5* = 28 half-steps	half-steps 
from middle C	color on keyboard	place on staff	name of note
1290.16	1292.31	1280.00	28	white key		e''
1217.75	1219.70	1208.50	27	black key		d'' sharp or 
e'' flat
1149.40	1151.18	1140.99	26	white key		d''
1084.89	1086.50	1077.26	25	black key		c'' sharp or 
d'' flat
1024.00	1025.46	1017.08	24	white key		c''
966.53	967.85	960.27	23	white key	space	b'
912.28	913.47	906.63	22	black key		a' sharp or 
b' flat
861.08	862.15	855.99	21	white key	line	a'
812.75	813.72	808.17	20	black key		g' sharp or 
a' flat
767.13	768.00	763.03	19	white key	space	g'
724.08	724.85	720.41	18	black key		f' sharp or 
g' flat
683.44	684.13	680.17	17	white key	line	f'
645.08	645.69	642.17	16	white key	space	e'
608.87	609.42	606.30	15	black key		d' sharp or 
e' flat
574.70	575.18	572.43	14	white key	line	d'
542.45	542.86	540.46	13	black key		c' sharp or 
d' flat		
512.00	512.37	510.27	12	white key	space	c'	
	
483.26	483.58	481.77	11	white key	line	b	
	
456.14	456.41	454.85	10	black key		a sharp or b 
flat		
430.54	430.77	429.45	9	white key	space	a	
	
406.37	406.57	405.46	8	black key		g sharp or a 
flat		
383.57	383.73	382.81	7	white key	line	g	G-
clef or Treble clef	
362.04	362.17	361.43	6	black key		f sharp or g 
flat		
341.72	341.82	341.24	5	white key	space	f	
	
322.54	322.62	322.18	4	white key	line	e	
	
304.44	304.49	304.18	3	black key		d sharp or e 
flat		
287.35	287.38	287.19	2	white key	space	d	
	
271.22	271.24	271.15	1	black key		c sharp or d 
flat		
256.00	256.00	256.00	0	white key	line	c	C-
clef, Alto clef, or Tenor clef	middle C
241.63	241.62	241.70	-1	white key	space	B	
	
228.07	228.04	228.20	-2	black key		B flat or A 
sharp		
215.27	215.23	215.45	-3	white key	line	A	
203.19	203.14	203.42	-4	black key		A flat or G 
sharp	
191.78	191.73	192.05	-5	white key	space	G	
181.02	180.95	181.33	-6	black key		G flat or F 
sharp	
170.86	170.79	171.20	-7	white key	line	F	F-
clef or Bass clef
161.27	161.19	161.63	-8	white key	space	E	
152.22	152.14	152.61	-9	black key		E flat or D 
sharp	
143.68	143.59	144.08	-10	white key	line	D	
135.61	135.52	136.03	-11	black key		D flat or C 
sharp	
128.00	127.91	128.43	-12	white key	space	C	
120.82	120.72	121.26	-13	white key	line	BB	
114.04	113.94	114.49	-14	black key		BB flat or AA 
sharp	
107.63	107.54	108.09	-15	white key	space	AA	
101.59	101.50	102.05	-16	black key		AA flat or GG 
sharp	
95.89	95.79	96.35	-17	white key	line	GG	
90.51	90.41	90.97	-18	black key		GG flat or f 
sharp	
85.43	85.33	85.89	-19	white key	space	FF
80.63	80.54	81.09	-20	white key	line	EE
76.11	76.01	76.56	-21	black key		EE flat or DD 
sharp
71.84	71.74	72.29	-22	white key	space	DD
67.81	67.71	68.25	-23	black key		DD flat or CC 
sharp
64.00	63.91	64.44	-24	white key		CC
60.41	60.32	60.84	-25	white key		BBB
57.02	56.93	57.44	-26	black key		BBB flat or 
AAA sharp
53.82	53.73	54.23	-27	white key		AAA
50.80	50.71	51.20	-28	black key		AAA flat or 
GGG sharp
From: Carl Lumma (2008-11-03)
Subject: Re: [tuning-math] Notation Check

At 03:54 PM 10/30/2008, you wrote:
>Have I got these right?

Sorry about the delay in your post, Tom.  Your message
was caught in the group's spam filter.

Your table came out pretty badly wrapped in my e-mail
client.  Can you put it on the web somewhere or try
posting again with different formatting?

Thanks,

-Carl
From: Andreas Sparschuh (2008-11-04)
Subject: Re: Notation Check

--- In [email protected], "tomhchappell" <tomhchappell@...>
wrote:
>
> Have I got these right?

Did you meant the ordinary:
http://en.wikipedia.org/wiki/Piano_key_frequencies
?

But i do perfer to tune my own piano in the absolute-pitches in 5ths:

A1 = 110 220 440Hz
E4 = 329 ( < 330 := 3*A1 )
B5 = 987 := 3*E4
F#3 = 185 370 740 1480 2960 ( < 2961 := 3*B5 )
C#5 = 555 := 3*F#3 
[G#-1 = 13 26 ] 52 104 208 416 832 1664 ( < 1665 := 3*C#5 )
Eb1 = 39 := 3*G#-1
Bb2 = 117 := 3*Eb1
F4 = 351 := 3*Bb2
C4 = 263 526 1052 ( < 1053 := 3*F4 )
G3 = 197 394 788 ( < 789 := 3*C4 ) 
D5 = (147 294 588 < ) 589 ( < 591 := 3*G3 )
A4 = 440 ( < 441 := 3*147)

!
!Sparschuh440Hz.scl
!
c"526#555 d"589#624 e"658 f"702#740 g"788#832 a"880#936 b"987
12
!
555/526 
589/526 ! d"
624/526
658/526 ! e"
702/526 ! f"
740/526 
788/526 ! g"
832/526
880/526 ! a" := 2 * 440Hz
936/526
987/526 ! b"
2/1
!

because, that's much easier to check 
and sounds better in my ears.

bye
A.S.
From: tomhchappell (2008-11-06)
Subject: Re: Notation Check

To Carl Lumma:
That's OK, Carl.  Wikipedia did it better.  I couldn't find it the 
other day, though.

---In [email protected], "Andreas Sparschuh"
><a_sparschuh@...> wrote:
>[snip]
> Did you meant the ordinary:
> http://en.wikipedia.org/wiki/Piano_key_frequencies
> ?

Yes, that's what I meant.
I think I got it wrong; c is "low C" and c' is "middle C", but I 
think I wrote c for "middle C" and c' for "tenor C".

>But i do perfer to tune my own piano in the absolute-pitches in 5ths:
>[snip] 
> because, that's much easier to check 
> and sounds better in my ears.
> 
> bye
> A.S.

Thanks!
From: Andreas Sparschuh (2008-11-21)
Subject: Helmholtz pitch-notation for: was ...Re: Notation Check

--- In [email protected], "tomhchappell" <tomhchappell@...>
wrote:
>
> > http://en.wikipedia.org/wiki/Piano_key_frequencies
> 
> Yes, that's what I meant.
> I think I got it wrong; c is "low C" and c' is "middle C", but I 
> think I wrote c for "middle C" and c' for "tenor C".
> 
but then yours own personal conotation causes confusion,
when compared against the common usual:
http://en.wikipedia.org/wiki/Helmholtz_pitch_notation
or
http://www.claviersbaroques.com/CBExpertHelmholtzNotation.htm
http://www.dolmetsch.com/musictheory1.htm
http://arts.ucsc.edu/faculty/carson/course_materials/100B/pitch-names.pdf
http://whitefiles.org/b1_s/1_free_guides/fg1mt/pgs/h15h.htm
"...and Helmholtz notation, as favoured by academics."
http://wapedia.mobi/en/Helmholtz_pitch_notation

on the guitar:
http://www.bitchfindergenital.com/code/helmholtz_tables.htm

bye
A.S.