弦のメンズレイション (Mensurtablle)

弦のメンズレイション (Mensurtabelle) v1.3

< Bass > (Pitch 49a = 440[Hz])
Wire	Key	音名	周波数	有効弦長	芯線直径	芯線番手	銅直径	総直径	混合密度	張力	張力	負担率	Inharmonicity	弦の伸長
No.	No.		[Hz]	L[mm]	D[mm]	[No.]	D[mm]	D[mm]	[g/cm3]	T[N]	T[Kg]	[%]	[cent]	[mm]
1	1	A	27.500	1210	1.3	23	2.4	5.812	7.034	826.446	84.274	40.700	0.278	3.504
2	2	B	29.135	1200	1.3	23	2.3	5.624	7.037	854.669	87.152	42.090	0.271	3.594
3	3	H	30.868	1190	1.3	23	2.25	5.530	7.038	912.342	93.033	44.930	0.256	3.804
4	4	C	32.703	1179	1.3	23	2.2	5.436	7.040	971.570	99.073	47.847	0.244	4.014
5	5	Cis	34.648	1167	1.3	23	2.1	5.248	7.043	996.345	101.599	49.067	0.240	4.074
6	6	D	36.708	1157	1.3	23	2	5.060	7.047	1022.506	104.267	50.355	0.236	4.146
7	7	Es	38.891	1147	1.3	23	1.7	4.496	7.062	892.442	91.004	43.950	0.266	3.587
8	8	E	41.203	1137	1.3	23	1.7	4.496	7.062	984.342	100.375	48.476	0.246	3.922
9	9	F	43.654	1126	1.225	22	1.55	4.139	7.066	918.803	93.692	49.997	0.210	4.083
10	10	Fis	46.249	1115	1.225	22	1.5	4.045	7.069	966.342	98.539	52.584	0.203	4.252

11	11	G	48.999	1109	1.125	20	1.25	3.475	7.081	793.193	80.883	49.315	0.175	4.116
12	11	G	48.999	1102	1.125	20	1.25	3.475	7.081	783.212	79.865	48.694	0.179	4.039
13	12	Gis	51.913	1098	1.125	20	1.2	3.381	7.086	826.770	84.307	51.403	0.170	4.248
14	12	Gis	51.913	1091	1.125	20	1.2	3.381	7.086	816.261	83.235	50.749	0.174	4.167
15	13	A	55.000	1087	1.075	19	1.2	3.331	7.080	882.112	89.950	58.991	0.137	4.914
16	13	A	55.000	1084	1.075	19	1.2	3.331	7.080	877.249	89.455	58.666	0.138	4.873
17	14	B	58.270	1077	1.075	19	1.1	3.143	7.091	866.728	88.382	57.962	0.140	4.784
18	14	B	58.270	1070	1.075	19	1.1	3.143	7.091	855.498	87.237	57.211	0.143	4.691
19	15	H	61.735	1066	1.025	18	1.05	2.999	7.091	867.746	88.485	62.987	0.118	5.214
20	15	H	61.735	1060	1.025	18	1.05	2.999	7.091	858.006	87.492	62.279	0.120	5.126

21	16	C	65.406	1056	1.025	18	1	2.905	7.098	897.680	91.538	65.159	0.115	5.343
22	16	C	65.406	1050	1.025	18	1	2.905	7.098	887.508	90.501	64.421	0.118	5.253
23	17	Cis	69.296	1045	0.975	17	0.9	2.667	7.105	832.593	84.901	65.921	0.103	5.420
24	17	Cis	69.296	1039	0.975	17	0.9	2.667	7.105	823.059	83.929	65.166	0.105	5.327
25	18	D	73.416	1034	0.975	17	0.85	2.573	7.114	852.645	86.946	67.508	0.102	5.492
26	18	D	73.416	1027	0.975	17	0.85	2.573	7.114	841.140	85.772	66.597	0.105	5.381
27	19	Es	77.782	1024	0.975	17	0.8	2.479	7.124	872.477	88.968	69.079	0.101	5.566
28	19	Es	77.782	1017	0.975	17	0.8	2.479	7.124	860.589	87.756	68.137	0.104	5.452
29	20	E	82.407	1014	0.975	17	0.7	2.291	7.146	822.775	83.900	65.144	0.107	5.197
30	20	E	82.407	1007	0.975	17	0.7	2.291	7.146	811.455	82.745	64.247	0.110	5.090

31	21	F	87.307	1004	0.975	17	0.65	2.197	7.160	834.220	85.067	66.050	0.107	5.218
32	21	F	87.307	997	0.975	17	0.65	2.197	7.160	822.628	83.885	65.132	0.110	5.109
33	22	Fis	92.499	993	0.975	17	0.6	2.103	7.175	841.083	85.767	66.593	0.108	5.203
34	22	Fis	92.499	986	0.975	17	0.6	2.103	7.175	829.267	84.562	65.657	0.111	5.094
35	23	G	97.999	982	0.975	17	0.55	2.009	7.193	844.667	86.132	66.877	0.109	5.167
36	23	G	97.999	976	0.975	17	0.55	2.009	7.193	834.377	85.083	66.062	0.112	5.073
37	24	Gis	103.826	972	0.975	17	0.5	1.915	7.213	846.393	86.308	67.013	0.110	5.125
38	24	Gis	103.826	965	0.975	17	0.5	1.915	7.213	834.246	85.069	66.052	0.113	5.015
39	25	A	110.000	961	0.925	16	0.45	1.771	7.225	795.536	81.122	69.079	0.097	5.291
40	25	A	110.000	955	0.925	16	0.45	1.771	7.225	785.633	80.112	68.219	0.099	5.193

41	26	B	116.541	956	0.925	16	0.4	1.677	7.252	795.336	81.102	69.062	0.097	5.263
42	26	B	116.541	944	0.925	16	0.4	1.677	7.252	775.494	79.078	67.339	0.102	5.067
43	27	H	123.471	1016	0.875	15	0.35	1.533	7.271	844.733	86.139	80.932	0.064	6.638
44	27	H	123.471	1016	0.875	15	0.35	1.533	7.271	844.733	86.139	80.932	0.064	6.638
45	28	C	130.813	1006	0.875	15	0.3	1.439	7.308	823.355	83.959	78.884	0.067	6.407
46	28	C	130.813	1006	0.875	15	0.3	1.439	7.308	823.355	83.959	78.884	0.067	6.407
47	29	Cis	138.591	996	0.875	15	0.25	1.345	7.354	796.393	81.210	76.300	0.070	6.135
48	29	Cis	138.591	996	0.875	15	0.25	1.345	7.354	796.393	81.210	76.300	0.070	6.135

< Strings >
Wire	Key	音名	周波数	有効弦長	芯線直径	芯線番手	張力	張力	負担率	Inharmonicity	弦の伸長
No.	No.		[Hz]	L[mm]	D[mm]	[No.]	T[N]	T[Kg]	[%]	[cent]	[mm]
49	30	D	146.832	977	1.1	19.5	614.098	62.621	39.576	0.203	2.936
50	31	Es	155.563	975	1.1	19.5	686.483	70.002	44.240	0.183	3.276
51	32	E	164.814	934	1.075	19	675.332	68.865	45.163	0.184	3.232
52	33	F	174.614	908	1.075	19	716.419	73.054	47.910	0.184	3.334
53	34	Fis	184.997	880	1.05	18.5	720.599	73.481	50.287	0.177	3.406
54	35	G	195.998	849	1.05	18.5	752.862	76.771	52.539	0.182	3.433
55	36	Gis	207.652	814	1.025	18	740.269	75.486	53.733	0.183	3.397
56	37	A	220.000	775	1.025	18	753.210	76.806	54.673	0.199	3.290
57	38	B	233.082	738	1.025	18	766.650	78.177	55.648	0.215	3.189
58	39	H	246.942	698	1.025	18	769.780	78.496	55.876	0.240	3.029

59	40	C	261.626	661	1	17.5	737.535	75.208	55.999	0.253	2.887
60	41	Cis	277.183	627	1	17.5	744.881	75.957	56.556	0.278	2.766
61	42	D	293.665	595	1	17.5	752.934	76.778	57.168	0.305	2.653
62	43	Es	311.127	565	1	17.5	762.065	77.709	57.861	0.335	2.550
63	44	E	329.628	537	1	17.5	772.707	78.794	58.669	0.365	2.457
64	45	F	349.228	509	1	17.5	779.245	79.461	59.165	0.403	2.349
65	46	Fis	369.994	483	0.975	17	748.710	76.347	59.279	0.421	2.253
66	47	G	391.995	460	0.975	17	762.266	77.729	60.353	0.456	2.184
67	48	Gis	415.305	436	0.975	17	768.662	78.382	60.859	0.503	2.088
68	49	A	440.000	412	0.975	17	770.422	78.561	60.998	0.562	1.977

69	50	B	466.164	391	0.95	16.5	739.430	75.401	61.400	0.586	1.897
70	51	H	493.883	371	0.95	16.5	747.245	76.198	62.049	0.644	1.819
71	52	C	523.251	350	0.95	16.5	746.489	76.121	61.986	0.725	1.714
72	53	Cis	554.365	338	0.95	16.5	781.434	79.684	64.888	0.743	1.733
73	54	D	587.330	310	0.95	16.5	737.826	75.237	61.266	0.935	1.501
74	55	Es	622.254	298	0.95	16.5	765.305	78.039	63.548	0.975	1.496
75	56	E	659.255	284	0.95	16.5	780.208	79.559	64.786	1.053	1.454
76	57	F	698.456	269	0.95	16.5	785.688	80.118	65.241	1.166	1.387
77	58	Fis	739.989	255	0.95	16.5	792.497	80.812	65.806	1.286	1.326
78	59	G	783.991	240	0.95	16.5	787.973	80.351	65.430	1.460	1.241

79	60	Gis	830.609	228	0.95	16.5	798.234	81.397	66.283	1.597	1.194
80	61	A	880.000	215	0.95	16.5	796.726	81.243	66.157	1.800	1.124
81	62	B	932.328	204	0.95	16.5	805.126	82.100	66.855	1.978	1.078
82	63	H	987.767	193	0.925	16	766.878	78.200	66.591	2.086	1.024
83	64	C	1046.502	184	0.925	16	782.382	79.781	67.937	2.249	0.996
84	65	Cis	1108.731	174	0.925	16	785.332	80.082	68.193	2.506	0.946
85	66	D	1174.659	166	0.925	16	802.311	81.813	69.667	2.695	0.922
86	67	Es	1244.508	157	0.9	15.5	762.604	77.764	69.651	2.841	0.875
87	68	E	1318.510	148	0.9	15.5	760.668	77.567	69.474	3.205	0.823
88	69	F	1396.913	141	0.9	15.5	774.964	79.024	70.779	3.466	0.799

89	70	Fis	1479.978	135	0.9	15.5	797.411	81.313	72.830	3.674	0.787
90	71	G	1567.982	125	0.875	15	725.333	73.963	69.492	4.209	0.701
91	72	Gis	1661.219	120	0.875	15	750.329	76.512	71.887	4.415	0.696
92	73	A	1760.000	114	0.875	15	760.100	77.509	72.823	4.829	0.670
93	74	B	1864.655	108	0.875	15	765.738	78.084	73.363	5.341	0.640
94	75	H	1975.533	103	0.85	14.5	737.735	75.228	74.583	5.428	0.623
95	76	C	2093.005	98	0.85	14.5	749.635	76.441	75.786	5.901	0.602
96	77	Cis	2217.461	93	0.85	14.5	757.766	77.271	76.609	6.482	0.578
97	78	D	2349.318	88	0.85	14.5	761.564	77.658	76.992	7.203	0.549
98	79	Es	2489.016	83	0.85	14.5	760.447	77.544	76.880	8.109	0.517

99	80	E	2637.020	78	0.85	14.5	753.830	76.869	76.211	9.263	0.482
100	81	F	2793.826	75	0.825	14	736.968	75.150	78.428	9.094	0.481
101	82	Fis	2959.955	72	0.825	14	762.365	77.740	81.131	9.539	0.478
102	83	G	3135.963	68	0.825	14	763.286	77.833	81.229	10.682	0.452
103	84	Gis	3322.438	65	0.825	14	782.831	79.826	83.309	11.399	0.443
104	85	A	3520.000	62	0.8	13.5	751.741	76.656	84.724	11.536	0.431
105	86	B	3729.310	58	0.775	13	693.004	70.667	82.536	12.594	0.396
106	87	H	3951.066	56	0.775	13	725.150	73.945	86.365	12.910	0.400
107	88	C	4186.009	53	0.775	13	729.080	74.345	86.833	14.336	0.381

YAMAHA U3H (製造番号：1909630) ----- 関西支部：吉田光男

作者(Original Writer)：吉田光男(Yoshida Mituo)
JavaScript版への改作(Webed by)：Dobashi.M

参照＞ピアノの設計：弦編 (Scale)
参照＞ピアノ-弦-設計入門 (Design)

変更履歴：

v1.3['18/02/04] ban2.jsをPrototype型に変更して GenDB.jsとしました。 revg2.jsをPrototype型に変更して Revg3.jsとしました。それに伴って mensur.jsを見直して周波数の値を平均律に戻しました。
v1.2.3 ['16/04/18] JavaScriptを見直しました。
v1.2.2 ['12/05/03] JavaScriptを見直しました。
v1.2.1 ['11/06/05] JavaScriptとcssを分離しました。
v1.2 ['05/08/07] 周波数の計算方法を変更しました。
v1.1 ['03/12/23]
v1.0 ['03/12/10]

Dobashi.M

Last modified: 1月 03日火 15:12:29 2023 JST