note/pch/cps/oct table*1

←csoundメモ　目次に戻る

ドレミ	MIDI note	pch*1	cps1*2	cps2*3	cps3*4	oct*5
C	0	3.00	8.176	8.176	8.176	3.000
C#	1	3.01	8.661	8.662	8.661	3.083
D	2	3.02	9.178	9.177	9.177	3.167
D#	3	3.03	9.723	9.723	9.722	3.250
E	4	3.04	10.300	10.301	10.300	3.333
F	5	3.05	10.914	10.913	10.913	3.417
F#	6	3.06	11.562	11.562	11.562	3.500
G	7	3.07	12.249	12.250	12.249	3.583
G#	8	3.08	12.979	12.978	12.978	3.667
A	9	3.09	13.750	13.750	13.749	3.750
A#	10	3.10	14.567	14.568	14.567	3.833
B	11	3.11	15.435	15.434	15.433	3.917
C	12	4.00	16.352	16.352	16.352	4.000
C#	13	4.01	17.323	17.324	17.323	4.083
D	14	4.02	18.355	18.354	18.354	4.167
D#	15	4.03	19.445	19.445	19.445	4.250
E	16	4.04	20.601	20.602	20.601	4.333
F	17	4.05	21.828	21.827	21.826	4.417
F#	18	4.06	23.125	23.125	23.123	4.500
G	19	4.07	24.498	24.500	24.498	4.583
G#	20	4.08	25.958	25.957	25.956	4.667
A	21	4.09	27.500	27.500	27.498	4.750
A#	22	4.10	29.134	29.135	29.134	4.833
B	23	4.11	30.869	30.868	30.867	4.917
C	24	5.00	32.703	32.703	32.703	5.000
C#	25	5.01	34.646	34.648	34.646	5.083
D	26	5.02	36.710	36.708	36.707	5.167
D#	27	5.03	38.891	38.891	38.891	5.250
E	28	5.04	41.201	41.203	41.201	5.333
F	29	5.05	43.656	43.654	43.652	5.417
F#	30	5.06	46.249	46.249	46.245	5.500
G	31	5.07	48.997	48.999	48.997	5.583
G#	32	5.08	51.916	51.913	51.912	5.667
A	33	5.09	55.000	55.000	54.995	5.750
A#	34	5.10	58.267	58.270	58.267	5.833
B	35	5.11	61.739	61.735	61.734	5.917
C	36	6.00	65.406	65.406	65.406	6.000
C#	37	6.01	69.292	69.296	69.292	6.083
D	38	6.02	73.420	73.416	73.414	6.167
D#	39	6.03	77.782	77.782	77.782	6.250
E	40	6.04	82.402	82.407	82.402	6.333
F	41	6.05	87.312	87.307	87.305	6.417
F#	42	6.06	92.499	92.499	92.491	6.500
G	43	6.07	97.993	97.999	97.993	6.583
G#	44	6.08	103.832	103.826	103.823	6.667
A	45	6.09	110.000	110.000	109.991	6.750
A#	46	6.10	116.534	116.541	116.534	6.833
B	47	6.11	123.478	123.471	123.467	6.917
C	48	7.00	130.813	130.813	130.813	7.000
C#	49	7.01	138.583	138.591	138.583	7.083
D	50	7.02	146.841	146.832	146.828	7.167
D#	51	7.03	155.563	155.563	155.563	7.250
E	52	7.04	164.804	164.814	164.804	7.333
F	53	7.05	174.624	174.614	174.609	7.417
F#	54	7.06	184.997	184.997	184.982	7.500
G	55	7.07	195.987	195.998	195.987	7.583
G#	56	7.08	207.664	207.652	207.646	7.667
A	57	7.09	220.000	220.000	219.981	7.750
A#	58	7.10	233.069	233.082	233.069	7.833
B	59	7.11	246.956	246.942	246.935	7.917
C	60	8.00	261.626	261.626	261.626	8.000
C#	61	8.01	277.167	277.183	277.167	8.083
D	62	8.02	293.681	293.665	293.656	8.167
D#	63	8.03	311.127	311.127	311.101	8.250
E	64	8.04	329.609	329.628	329.609	8.333
F	65	8.05	349.248	349.228	349.218	8.417
F#	66	8.06	369.994	369.994	369.994	8.500
G	67	8.07	391.973	391.995	391.973	8.583
G#	68	8.08	415.328	415.305	415.293	8.667
A	69	8.09	440.000	440.000	439.963	8.750
A#	70	8.10	466.137	466.164	466.137	8.833
B	71	8.11	493.911	493.883	493.869	8.917
C	72	9.00	523.251	523.251	523.251	9.000
C#	73	9.01	554.334	554.365	554.334	9.083
D	74	9.02	587.363	587.330	587.313	9.167
D#	75	9.03	622.254	622.254	622.201	9.250
E	76	9.04	659.218	659.255	659.218	9.333
F	77	9.05	698.496	698.456	698.437	9.417
F#	78	9.06	739.989	739.989	739.989	9.500
G	79	9.07	783.947	783.991	783.947	9.583
G#	80	9.08	830.656	830.609	830.586	9.667
A	81	9.09	880.000	880.000	879.926	9.750
A#	82	9.10	932.275	932.328	932.275	9.833
B	83	9.11	987.822	987.767	987.739	9.917
C	84	10.00	1046.502	1046.502	1046.502	10.000
C#	85	10.01	1108.668	1108.731	1108.668	10.083
D	86	10.02	1174.725	1174.659	1174.626	10.167
D#	87	10.03	1244.508	1244.508	1244.403	10.250
E	88	10.04	1318.436	1318.510	1318.436	10.333
F	89	10.05	1396.992	1396.913	1396.874	10.417
F#	90	10.06	1479.978	1479.978	1479.978	10.500
G	91	10.07	1567.893	1567.982	1567.893	10.583
G#	92	10.08	1661.312	1661.219	1661.172	10.667
A	93	10.09	1760.000	1760.000	1759.851	10.750
A#	94	10.10	1864.550	1864.655	1864.550	10.833
B	95	10.11	1975.645	1975.533	1975.477	10.917
C	96	11.00	2093.005	2093.005	2093.005	11.000
C#	97	11.01	2217.336	2217.461	2217.336	11.083
D	98	11.02	2349.451	2349.318	2349.252	11.167
D#	99	11.03	2489.016	2489.016	2488.805	11.250
E	100	11.04	2636.872	2637.020	2636.872	11.333
F	101	11.05	2793.983	2793.826	2793.747	11.417
F#	102	11.06	2959.955	2959.955	2959.955	11.500
G	103	11.07	3135.787	3135.963	3135.787	11.583
G#	104	11.08	3322.625	3322.438	3322.344	11.667
A	105	11.09	3520.000	3520.000	3519.702	11.750
A#	106	11.10	3729.100	3729.310	3729.100	11.833
B	107	11.11	3951.289	3951.066	3950.955	11.917
C	108	12.00	4186.009	4186.009	4186.009	12.000
C#	109	12.01	4434.672	4434.922	4434.672	12.083
D	110	12.02	4698.901	4698.636	4698.504	12.167
D#	111	12.03	4978.032	4978.032	4977.611	12.250
E	112	12.04	5273.743	5274.041	5273.743	12.333
F	113	12.05	5587.967	5587.652	5587.494	12.417
F#	114	12.06	5919.911	5919.911	5919.911	12.500
G	115	12.07	6271.573	6271.927	6271.573	12.583
G#	116	12.08	6645.250	6644.875	6644.688	12.667
A	117	12.09	7040.000	7040.000	7039.404	12.750
A#	118	12.10	7458.199	7458.620	7458.199	12.833
B	119	12.11	7902.579	7902.133	7901.910	12.917
C	120	13.00	8372.018	8372.018	8372.018	13.000
C#	121	13.01	8869.344	8869.844	8869.344	13.083
D	122	13.02	9397.803	9397.273	9397.007	13.167
D#	123	13.03	9956.063	9956.063	9955.221	13.250
E	124	13.04	10547.487	10548.082	10547.487	13.333
F	125	13.05	11175.934	11175.303	11174.988	13.417
F#	126	13.06	11839.822	11839.822	11839.821	13.500
G	127	13.07	12543.146	12543.854	12543.146	13.583

これは前の説明のとおり以下のcsdファイルをcsoundで動かすと出力される計算内容を整形したものである。

<CsoundSynthesizer>
<CsOptions>
-d -m0
</CsOptions>
<CsInstruments>
sr = 44100
kr = 44100
ksmps = 1
nchnls = 2

instr 1 
 iNote = p4
 iHz1  = 440*powoftwo((iNote-69)/12.0)
 iHz2  = (440.0*exp(log(2.0)*((iNote-69.0)/12.0)))
 iPch  = p5
 iOct  = octpch(iPch)
 iHz3  = cpspch(iPch)
 print iNote,iPch,iHz1,iHz2,iHz3,iOct
endin

instr 2
 ipch = p4
 print p4
 print cpspch(ipch)
 print
endin

</CsInstruments> 
<CsScore>
i1 0   0.1 0 3.00
i. +   .   1 3.01
i. +   .   2 3.02
i. +   .   3 3.03
i. +   .   4 3.04
i. +   .   5 3.05
i. +   .   6 3.06
i. +   .   7 3.07
i. +   .   8 3.08
i. +   .   9 3.09
i. +   .  10 3.10
i. +   .  11 3.11
i. +   .  12 4.00
i. +   .  13 4.01
i. +   .  14 4.02
i. +   .  15 4.03
i. +   .  16 4.04
i. +   .  17 4.05
i. +   .  18 4.06
i. +   .  19 4.07
i. +   .  20 4.08
i. +   .  21 4.09
i. +   .  22 4.10
i. +   .  23 4.11
i. +   .  24 5.00
i. +   .  25 5.01
i. +   .  26 5.02
i. +   .  27 5.03
i. +   .  28 5.04
i. +   .  29 5.05
i. +   .  30 5.06
i. +   .  31 5.07
i. +   .  32 5.08
i. +   .  33 5.09
i. +   .  34 5.10
i. +   .  35 5.11
i. +   .  36 6.00
i. +   .  37 6.01
i. +   .  38 6.02
i. +   .  39 6.03
i. +   .  40 6.04
i. +   .  41 6.05
i. +   .  42 6.06
i. +   .  43 6.07
i. +   .  44 6.08
i. +   .  45 6.09
i. +   .  46 6.10
i. +   .  47 6.11
i. +   .  48 7.00
i. +   .  49 7.01
i. +   .  50 7.02
i. +   .  51 7.03
i. +   .  52 7.04
i. +   .  53 7.05
i. +   .  54 7.06
i. +   .  55 7.07
i. +   .  56 7.08
i. +   .  57 7.09
i. +   .  58 7.10
i. +   .  59 7.11
i. +   .  60 8.00
i. +   .  61 8.01
i. +   .  62 8.02
i. +   .  63 8.03
i. +   .  64 8.04
i. +   .  65 8.05
i. +   .  66 8.06
i. +   .  67 8.07
i. +   .  68 8.08
i. +   .  69 8.09
i. +   .  70 8.10
i. +   .  71 8.11
i. +   .  72 9.00
i. +   .  73 9.01
i. +   .  74 9.02
i. +   .  75 9.03
i. +   .  76 9.04
i. +   .  77 9.05
i. +   .  78 9.06
i. +   .  79 9.07
i. +   .  80 9.08
i. +   .  81 9.09
i. +   .  82 9.10
i. +   .  83 9.11
i. +   .  84 10.00
i. +   .  85 10.01
i. +   .  86 10.02
i. +   .  87 10.03
i. +   .  88 10.04
i. +   .  89 10.05
i. +   .  90 10.06
i. +   .  91 10.07
i. +   .  92 10.08
i. +   .  93 10.09
i. +   .  94 10.10
i. +   .  95 10.11
i. +   .  96 11.00
i. +   .  97 11.01
i. +   .  98 11.02
i. +   .  99 11.03
i. +   . 100 11.04
i. +   . 101 11.05
i. +   . 102 11.06
i. +   . 103 11.07
i. +   . 104 11.08
i. +   . 105 11.09
i. +   . 106 11.10
i. +   . 107 11.11
i. +   . 108 12.00
i. +   . 109 12.01
i. +   . 110 12.02
i. +   . 111 12.03
i. +   . 112 12.04
i. +   . 113 12.05
i. +   . 114 12.06
i. +   . 115 12.07
i. +   . 116 12.08
i. +   . 117 12.09
i. +   . 118 12.10
i. +   . 119 12.11
i. +   . 120 13.00
i. +   . 121 13.01
i. +   . 122 13.02
i. +   . 123 13.03
i. +   . 124 13.04
i. +   . 125 13.05
i. +   . 126 13.06
i. +   . 127 13.07
i2 30  0.1 8.07
i2 +   .  8.08
i2 +   .  8.09
i2 +   .  8.10
</CsScore>
</CsoundSynthesizer>

スコア部分を生成するには、簡単なCで作成

#include "stdio.h"
int  main(){
  int i,j,k;
  j=3;
  k=0;
  for(i=0;i<128;i++){
    printf("i. + .  %3d %d.%.2d\n",i,j,k);
    if (++k==12) {
      j++;
      k=0;
    }
  }
}

*1:octave point pitch class value

*2:cycle per second - using formula(2)

*3:cycle per second - using formula(1)

*4:cycle per second - cpsopch

*5:octave point decima - octpchl