Instrument calculator

The original's 31 instrument templates with their tunings, plus a custom instrument. Pick an instrument, pitch standard, length and tension: each string gets a gauge (plain) or a PUL (wound) following the original's rules.

Plain

d = \frac{c \cdot \sqrt{1000} \cdot 100 \cdot \sqrt{T}}{f \cdot L}

Plain: d = c · √1000 · 100 · √T / (f · L)

Wound

PUL = \frac{245000000 \cdot T}{f^{2} \cdot L^{2}} \cdot 10

Wound: PUL = 245 000 000 · T / (f² · L²) · 10

Instrument

Pitch standard (A)

440 Hz 415 Hz Other

Pitch standard (A) (Hz)380–480

Vibrating length (all strings) · Tension (all strings)

Vibrating length (all strings) (cm)5–200

Tension (all strings) (kg)0,1–50

Plain-string material

Results

Strings
No.	Note	Frequency	Gauge	PUL	Calculator
1	MI (E)	330.0	60.6	—	Plain
2	SI (B)	247.0	80.9	—	Plain
3	SOL (G)	196.0	102.0	—	Plain
4	RE (D)	147.0	—	201.3	Wound
5	LA (A)	110.0	—	359.4	Wound
6	MI (E)	82.4	—	640.5	Wound

How this was calculated

Original formula: d = c · √1000 · 100 · √T / (f · L) ; PUL = 245 000 000 · T / (f² · L²) · 10

With your values:

Plain: c = 150 (KF), 170 (Nylon), 155 (Gut)
References come from the catalogue row whose value is the largest one less than or equal to the computed value (LOOKUP), with five hypotheses: +0, +2, +3, +4 and +5 %mm (plain) or +0, +15, +30, +45 and +60 PUL (wound).

Catalogue

The original's recommendation tables (LIGHT / MEDIUM / FORTE)

PETITE HARPE (PETIHARP36)
No.	Note	Frequency	Length (cm)	LIGHT KF	LIGHT Nylon	MEDIUM KF	MEDIUM Nylon	FORTE KF	FORTE Nylon
1	DO - C	2,093	10.2	—	52	55	54	—	56
2	SI - B	1,976	11.6	—	54	55	56	—	58
3	LA - A	1,760	12.3	—	56	55	58	—	60
4	SOL - G	1,568	14.8	—	56	57	58	—	64
5	FA - F	1,397	15.7	—	58	57	60	—	66
6	MI - E	1,318	17.6	—	58	62	60	—	68
7	RE - D	1,175	19.4	—	58	62	60	—	70
8	DO - C	1,046	21.3	—	60	69	64	—	72
9	SI - B	988	23.2	—	60	69	64	—	77
10	LA - A	880	25.8	—	64	71	66	—	80
11	SOL - G	784	27.5	—	66	71	68	—	83
12	FA - F	698	27.8	—	68	74	70	—	86
13	MI - E	659	32.3	—	72	77	74	—	89
14	RE - D	588	34.7	—	74	77	77	—	91
15	DO - C	523	37.4	—	77	81	80	—	94
16	SI - B	494	40.2	—	77	81	80	—	97
17	LA - A	440	42.0	—	80	86	83	—	100
18	SOL - G	392	43.3	—	86	86	89	—	103
19	FA - F	349	49.8	—	91	91	94	—	107
20	MI - E	330	52.4	—	94	91	97	—	110
21	RE - D	294	57.3	—	100	91	103	—	122
22	DO - C	262	61.0	—	110	101	112	—	127
23	SI - B	247	64.2	—	112	108	122	—	132
24	LA - A	220	66.7	—	122	108	127	—	137
25	SOL - G	196	73.7	—	132	125	137	—	140
26	FA - F	175	76.4	—	140	125	145	—	145
27	MI - E	167	84.5	—	145	—	160	—	160
28	RE - D	147	88.4	—	160	—	172	—	—
29	DO-C	131	91.0	—	170	—	—	—	—

MALL HARP 33 STRINGS (PETIHARP33)
No.	Note	Frequency	Length (cm)	LIGHT KF	LIGHT Nylon	MEDIUM KF	MEDIUM Nylon	FORTE KF	FORTE Nylon
1	LA - A	1,760	—	43	56	52	58	55	60
2	SOL - G	1,568	—	45	56	52	58	55	60
3	FA - F	1,397	—	47	58	52	60	55	64
4	MI - E	1,318	—	47	58	52	60	57	64
5	RE - D	1,175	—	52	58	52	60	57	64
6	DO - C	1,046	—	55	60	55	64	62	66
7	SI - B	988	—	55	60	57	64	62	66
8	LA - A	880	—	57	64	62	66	69	68
9	SOL - G	784	—	62	66	64	68	69	70
10	FA - F	698	—	66	68	66	70	71	72
11	MI - E	659	—	66	72	71	74	71	77
12	RE - D	588	—	69	74	77	77	74	80
13	DO - C	523	—	74	77	81	80	77	83
14	SI - B	494	—	77	77	84	80	77	83
15	LA - A	440	—	81	80	86	83	81	86
16	SOL - G	392	—	86	86	91	89	81	91
17	FA - F	349	—	91	91	95	94	86	97
18	MI - E	330	—	91	94	101	97	86	100
19	RE - D	294	—	95	100	101	103	91	107
20	DO - C	262	—	101	110	108	112	91	122
21	SI - B	247	—	105	112	116	122	91	127
22	LA - A	220	—	108	122	116	127	101	132
23	SOL - G	196	—	116	132	121	137	108	140
24	FA - F	175	—	125	140	125	145	108	160
25	MI - E	167	—	—	145	127	160	125	172
26	RE - D	147	—	—	160	132	172	125	—

CONCERT HARP (CONCHARP)
No.	Length (cm)	Gut LIGHT	Gut MEDIUM	Gut FORTE	KF (Alliance fluorocarbon) LIGHT	KF (Alliance fluorocarbon) MEDIUM	KF (Alliance fluorocarbon) FORTE	Nylon LIGHT	Nylon MEDIUM	Nylon FORTE
1	7.5	44	48	51	43	45	47	52	54	56
2	7.5	48	51	53	45	47	50	54	56	58
3	8.9	51	53	55	45	47	50	56	58	60
4	9.7	53	55	58	50	52	55	58	60	64
5	10.8	55	58	61	52	55	57	60	64	66
6	11.9	58	61	63	52	55	57	64	66	68
7	13.0	61	63	66	55	57	60	66	68	70
8	14.0	63	66	68	60	62	64	68	70	72
9	15.4	66	68	71	60	62	64	72	74	77
10	16.7	68	71	74	64	66	69	74	77	80
11	18.1	71	74	79	66	69	71	77	80	83
12	19.6	74	79	81	71	74	77	80	83	86
13	21.3	79	81	84	74	77	81	83	86	89
14	23.1	81	84	89	77	81	84	86	89	91
15	25.0	84	89	94	84	86	91	89	91	94
16	27.0	89	94	97	86	91	95	91	94	97
17	29.4	94	97	99	86	91	95	94	97	100
18	31.9	97	99	104	91	95	101	97	100	103
19	34.6	99	104	109	95	101	105	100	103	107
20	37.3	104	109	114	101	105	108	103	107	110
21	40.2	109	114	122	105	108	116	110	112	122
22	43.3	114	122	127	108	116	121	112	122	127
23	46.8	122	127	132	121	125	126	122	127	132
24	50.8	127	132	137	121	125	127	127	132	137
25	54.8	132	137	142	127	132	136	132	137	140
26	59.4	137	142	150	136	140	145	137	140	145
27	64.8	142	150	160	140	145	150	140	145	160
28	70.6	150	160	170	145	150	160	—	—	—
29	77.0	160	170	178	150	160	172	—	—	—
30	83.7	170	178	185	160	172	180	—	—	—
31	90.0	178	185	193	172	180	190	—	—	—
32	97.0	185	193	203	180	190	203	—	—	—
33	103.0	193	203	213	203	207	210	—	—	—
34	110.0	203	213	225	203	207	210	—	—	—
35	117.0	213	225	225	207	210	210	—	—	—