Turnhout tuning data

Turnhout (B)
carillon St.-Pieter tower

tuning 42 heaviest carillon bells

measured (Dec. 2001) and calculated (Jan. 2002) by Gideon Bodden

tuning data in cents (1/1200 octave)
external partial tuning related to musical intervals according to
1/4' mean tone tuning on A,
A'=440 Hz and base = -39 cents.
(maximum only 2 decimals are significant)

strike note A0 C#1 E1 G1 A1 B1 C2 C#2 D2 Eb2 E2 F2 F#2 G2 G#2 A2 Bb2 B2 C3 C#3 D3 Eb3 E3 F3 F#3 G3 G#3 A3 Bb3 B3 C4 C#4 D4 Eb4 E4 F4 F#4 G4 G#4 A4 Bb4 B4

hum note 76,0580545225239 27,6346926317201 0,0595816910054054 -5,5015154715752 1,85488024010374 -1,86471188348378 -1,81548078801575 1,90686063207295 -2,17392318176371 -2,8269200202817 0,00575898737974967 -1,60969985375982 1,91012359953424 -8,5332678796608 -1,4227979170214 -3,54025841367138 -2,65138069649856 -4,28059750569537 2,7246920515679 -0,281316681293902 5,9411109785633 4,91434295312411 3,63504116437457 -1,58392075310144 -1,3388971345571 3,58702034913699 4,36372709448278 5,9303346688805 2,54804509573978 1,77078582970671 -0,670907625330983 -1,37644336004337 3,91591577341887 4,91434295312411 3,63504116437457 3,60275211138946 9,97020026496534 1,31811044088658 2,19335832899037 1,19146043276191 3,19207146334656 2,77729645487511

fundamental 60,3508422606083 110,894533576896 0,00584512264707371 -2,47995942771753 -0,840501307082178 -4,28051137042768 -8,59734563353025 -4,63361909502375 1,88843485829965 1,03373550739494 -5,41188898433413 -8,5322865225943 -6,21172482890621 -5,50642933630775 2,92436749722253 1,87506603779064 -1,34033766354694 -4,29855304693388 1,59925292934145 4,04418390397039 1,90346260659806 -3,80775216901597 4,53454994420682 6,19677502391816 6,66443757825871 7,35456057638085 3,6442399680278 3,22121210914678 2,53851708233127 7,80117685581224 8,3665628857706 -1,6019105015376 1,10681213705097 4,43340805541898 5,24570266039333 2,74161402835698 2,30689442878616 -3,9893981621335 4,36381322975016 1,87004114406285 -3,61586717470702 -6,72235666263438

minor third 47,319764823356 42,9580071487098 -2,48995942771734 -2,65957936804443 -4,07309430243572 -2,1537110744365 -3,61486272233913 -3,60409315104744 10,3077060080098 -19,2673911491686 -4,00003522225006 -1,42771178175371 8,61546128914705 1,13574276974873 -1,86453961294882 -2,92702802434047 -14,4361056664525 -4,18839168455594 5,841502567188 -10,8872525934364 8,6192277198744 18,7927675929835 26,0869844387676 4,35881322975013 27,3835714412625 28,7280928602123 16,8253409933307 36,8546399911051 0,239978426374876 21,4983574226527 26,9278790466815 10,8508886292496 43,2147729338001 27,9890236443292 75,3389701622629 3,27396895843572 57,4385407109549 -9,01389643621889 -18,9242935612674 3,57683478916204 -3,5544957089233 3,65831549997461

fifth 18,0500159676958 38,7036438697963 -1,86453961294887 -0,126378085019041 -45,8620408659239 9,96028640023258 -7,02414407372783 -49,953015561233 -8,99254229189398 17,9962820722106 -38,6272787122354 17,6135360709693 21,2386624840619 14,9831723168554 -48,060552982987 -18,1875830848436 -0,725456497530899 5,9349387080282 24,6016410053769 29,4681213400105 8,62547198181096 25,6784145745149 14,4264903599436 34,7313440756889 -12,252324676202 11,474704533069 19,824313571875 -41,6804971162056 76,8318708863397 -9,47393687174451 -8,17084947079684 61,220730554822 -61,4885384128797 39,4359885633561 129,631248563185 109,216150508284 119,764769886248 211,411493480304 281,144344968712 214,558086629944 189,54510309191 205,623205158273

nominal 12,6750508516745 25,5107092767355 -1,7980969568307 -2,45734482110333 0,527958571856971 -1,86453961294887 2,7248643221028 -0,29724419708532 -0,126378085019041 -1,86079801875121 -0,882385020525362 -2,46045332545054 -1,3387248640222 -1,70781039200324 0,741518291532884 1,87515217305804 1,24982413524458 2,3731374560391 1,59933906460901 -0,289194285206804 5,43145723620387 1,53017306165225 3,1853268240834 1,44262654365411 1,90428479683919 0,93609444074059 0,0204375267023806 0,18093672056284 -4,26234548095681 -2,17084590927902 -4,63367717646588 -7,61801286937816 -2,15115638303678 -2,83395835624856 96,6939735466058 -3,32792549850979 55,4702929122059 -1,71344002821843 -1,60578683586891 11,3137495841418 -1,82933442205854 -1,10801514240802

double quint 10,8442888234727 18,7568051105095 0,566056786907438 2,91019697231059 7,24350356280229 14,7880141322382 12,6170465099569 10,8480304176701 4,57651868227958 18,6441996248259 10,2183366530337 3,20688220594275 -1,91595070233097 10,4657234385982 7,32487224729243 12,6485558742372 9,64014014929762 3,91283168029304 5,84252774284801 7,60900058197876 5,58465257168632 -7,30531783938477 -10,3710538252194 8,11246564608996 -14,9454286553612 -16,1494387781775 -19,4072461452402 -31,2739516979673 -13,1277335429243 -17,4275671985415 -38,2491120985374 -32,5154132083176 -57,4614981534421 -50,0037345228484 71,4227082751536 -42,8069151242703 -5,30743292496572 -41,7559495487001 -39,0467738745497 -33,3509311898024 -51,5319184705161 -61,4440272034049

double octave 59,0680284132959 64,5624923411369 54,3925903797071 57,1400432404062 61,0407125043303 81,5626286514694 69,2343290053709 63,0032516120891 65,4400615304276 84,2220641632643 70,1121330707078 61,0156130486494 50,1675798496535 70,987938872343 60,8727776724672 66,2579644713237 61,6869874458239 54,4914688706699 59,697654914241 60,3858470179543 55,1715726962379 40,29553664995 33,5210552191097 64,7721278289528 24,5555803698603 19,7456058782946 13,7313720113902 -6,77153682669041 31,2547032486086 23,109970658747 -17,3754623356986 -4,4236364488338 -60,2584860059983 -45,3203905942441 73,0429167668049 -36,9239054680038 -24,386868564663 -45,447552208359 -37,1352621393303 -38,7541892160325 -60,5707110048652 -84,4244831264095

double eleventh 14,9782584521231 11,5751538407935 7,26367689348353 11,1850118913335 15,485278300815 47,3464111102321 27,0307985832433 16,7916781076233 26,834888373769 45,4073941224628 29,0366123418748 19,5962988048968 12,0200153422111 30,1891160762493 11,0382737068317 15,485278300815 10,4482249175712 0,460183198231789 14,0722333522654 8,55384897132217 3,20059109724252 -17,8265611268312 -23,3437740146355 20,2673207330045 -36,3029762923534 -43,804365761443 -51,1449931006246 -79,503596652301 -25,9213720330549 -34,74516758049 -95,9532597920947 -75,9795192861311 -158,164203883279 -137,306279488573 -25,745600977074 -133,953275200213 -139,738104530107 -150,406538709723 -142,207896526534 -149,186124605206 -168,920664154882 -203,576373282169

maj. triple sixth 13,1764003776366 -0,0493713267787825 2,95008402355506 6,79472603464819 11,9756043419252 53,1549426541342 27,7054551503243 13,5073787398965 30,8575505667413 48,0201918784569 29,505275451922 20,81720589215 14,0680583433905 32,9716424748044 3,59809665245939 8,35323916599827 -0,316810767874358 -14,170608484088 10,4616271903606 -0,533274041054483 -14,4902637286609 -28,3206775473254 -35,3197357340332 17,1755324118535 -50,3007753624397 -64,7940159268487 -71,397764227047 -106,821585090895 -41,6998576116453 -48,9341034092809 -129,092362927577 -103,091868583851 -209,504984934405 -185,782448585439 -80,8352961694932 -266,984462220831 -240,116787189434 -234,867703341843 -231,930595852351 -214,188330861521 -244,786360215179 #VALUE!

triple octave 34,6963372116197 5,65767393212263 18,4830021987027 22,7423248755063 29,0466123418742 77,2221533440111 43,7689740365909 29,250186567639 52,7181247005597 67,7627884511289 49,5546990661719 41,8773501430555 38,7365035273469 51,2619648760942 14,6283227080039 17,5247369743156 8,99944897616342 -9,45916006042535 26,576671331261 8,75951958384167 -1,39047369324953 -18,3064128361743 -27,5903611344397 34,5650995019337 -43,1744238264428 -66,7515100723426 -73,3783192324668 -110,401422438641 -37,460466599653 -41,7999448813698 -138,943189218555 -109,7383335726 -233,184154075085 -208,003866351527 -114,148944930496 #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!

> back to Turnhout

strike note	A0	C#1	E1	G1	A1	B1	C2	C#2	D2	Eb2	E2	F2	F#2	G2	G#2	A2	Bb2	B2	C3	C#3	D3	Eb3	E3	F3	F#3	G3	G#3	A3	Bb3	B3	C4	C#4	D4	Eb4	E4	F4	F#4	G4	G#4	A4	Bb4	B4
hum note	76,0580545225239	27,6346926317201	0,0595816910054054	-5,5015154715752	1,85488024010374	-1,86471188348378	-1,81548078801575	1,90686063207295	-2,17392318176371	-2,8269200202817	0,00575898737974967	-1,60969985375982	1,91012359953424	-8,5332678796608	-1,4227979170214	-3,54025841367138	-2,65138069649856	-4,28059750569537	2,7246920515679	-0,281316681293902	5,9411109785633	4,91434295312411	3,63504116437457	-1,58392075310144	-1,3388971345571	3,58702034913699	4,36372709448278	5,9303346688805	2,54804509573978	1,77078582970671	-0,670907625330983	-1,37644336004337	3,91591577341887	4,91434295312411	3,63504116437457	3,60275211138946	9,97020026496534	1,31811044088658	2,19335832899037	1,19146043276191	3,19207146334656	2,77729645487511
fundamental	60,3508422606083	110,894533576896	0,00584512264707371	-2,47995942771753	-0,840501307082178	-4,28051137042768	-8,59734563353025	-4,63361909502375	1,88843485829965	1,03373550739494	-5,41188898433413	-8,5322865225943	-6,21172482890621	-5,50642933630775	2,92436749722253	1,87506603779064	-1,34033766354694	-4,29855304693388	1,59925292934145	4,04418390397039	1,90346260659806	-3,80775216901597	4,53454994420682	6,19677502391816	6,66443757825871	7,35456057638085	3,6442399680278	3,22121210914678	2,53851708233127	7,80117685581224	8,3665628857706	-1,6019105015376	1,10681213705097	4,43340805541898	5,24570266039333	2,74161402835698	2,30689442878616	-3,9893981621335	4,36381322975016	1,87004114406285	-3,61586717470702	-6,72235666263438
minor third	47,319764823356	42,9580071487098	-2,48995942771734	-2,65957936804443	-4,07309430243572	-2,1537110744365	-3,61486272233913	-3,60409315104744	10,3077060080098	-19,2673911491686	-4,00003522225006	-1,42771178175371	8,61546128914705	1,13574276974873	-1,86453961294882	-2,92702802434047	-14,4361056664525	-4,18839168455594	5,841502567188	-10,8872525934364	8,6192277198744	18,7927675929835	26,0869844387676	4,35881322975013	27,3835714412625	28,7280928602123	16,8253409933307	36,8546399911051	0,239978426374876	21,4983574226527	26,9278790466815	10,8508886292496	43,2147729338001	27,9890236443292	75,3389701622629	3,27396895843572	57,4385407109549	-9,01389643621889	-18,9242935612674	3,57683478916204	-3,5544957089233	3,65831549997461
fifth	18,0500159676958	38,7036438697963	-1,86453961294887	-0,126378085019041	-45,8620408659239	9,96028640023258	-7,02414407372783	-49,953015561233	-8,99254229189398	17,9962820722106	-38,6272787122354	17,6135360709693	21,2386624840619	14,9831723168554	-48,060552982987	-18,1875830848436	-0,725456497530899	5,9349387080282	24,6016410053769	29,4681213400105	8,62547198181096	25,6784145745149	14,4264903599436	34,7313440756889	-12,252324676202	11,474704533069	19,824313571875	-41,6804971162056	76,8318708863397	-9,47393687174451	-8,17084947079684	61,220730554822	-61,4885384128797	39,4359885633561	129,631248563185	109,216150508284	119,764769886248	211,411493480304	281,144344968712	214,558086629944	189,54510309191	205,623205158273
nominal	12,6750508516745	25,5107092767355	-1,7980969568307	-2,45734482110333	0,527958571856971	-1,86453961294887	2,7248643221028	-0,29724419708532	-0,126378085019041	-1,86079801875121	-0,882385020525362	-2,46045332545054	-1,3387248640222	-1,70781039200324	0,741518291532884	1,87515217305804	1,24982413524458	2,3731374560391	1,59933906460901	-0,289194285206804	5,43145723620387	1,53017306165225	3,1853268240834	1,44262654365411	1,90428479683919	0,93609444074059	0,0204375267023806	0,18093672056284	-4,26234548095681	-2,17084590927902	-4,63367717646588	-7,61801286937816	-2,15115638303678	-2,83395835624856	96,6939735466058	-3,32792549850979	55,4702929122059	-1,71344002821843	-1,60578683586891	11,3137495841418	-1,82933442205854	-1,10801514240802
double quint	10,8442888234727	18,7568051105095	0,566056786907438	2,91019697231059	7,24350356280229	14,7880141322382	12,6170465099569	10,8480304176701	4,57651868227958	18,6441996248259	10,2183366530337	3,20688220594275	-1,91595070233097	10,4657234385982	7,32487224729243	12,6485558742372	9,64014014929762	3,91283168029304	5,84252774284801	7,60900058197876	5,58465257168632	-7,30531783938477	-10,3710538252194	8,11246564608996	-14,9454286553612	-16,1494387781775	-19,4072461452402	-31,2739516979673	-13,1277335429243	-17,4275671985415	-38,2491120985374	-32,5154132083176	-57,4614981534421	-50,0037345228484	71,4227082751536	-42,8069151242703	-5,30743292496572	-41,7559495487001	-39,0467738745497	-33,3509311898024	-51,5319184705161	-61,4440272034049
double octave	59,0680284132959	64,5624923411369	54,3925903797071	57,1400432404062	61,0407125043303	81,5626286514694	69,2343290053709	63,0032516120891	65,4400615304276	84,2220641632643	70,1121330707078	61,0156130486494	50,1675798496535	70,987938872343	60,8727776724672	66,2579644713237	61,6869874458239	54,4914688706699	59,697654914241	60,3858470179543	55,1715726962379	40,29553664995	33,5210552191097	64,7721278289528	24,5555803698603	19,7456058782946	13,7313720113902	-6,77153682669041	31,2547032486086	23,109970658747	-17,3754623356986	-4,4236364488338	-60,2584860059983	-45,3203905942441	73,0429167668049	-36,9239054680038	-24,386868564663	-45,447552208359	-37,1352621393303	-38,7541892160325	-60,5707110048652	-84,4244831264095
double eleventh	14,9782584521231	11,5751538407935	7,26367689348353	11,1850118913335	15,485278300815	47,3464111102321	27,0307985832433	16,7916781076233	26,834888373769	45,4073941224628	29,0366123418748	19,5962988048968	12,0200153422111	30,1891160762493	11,0382737068317	15,485278300815	10,4482249175712	0,460183198231789	14,0722333522654	8,55384897132217	3,20059109724252	-17,8265611268312	-23,3437740146355	20,2673207330045	-36,3029762923534	-43,804365761443	-51,1449931006246	-79,503596652301	-25,9213720330549	-34,74516758049	-95,9532597920947	-75,9795192861311	-158,164203883279	-137,306279488573	-25,745600977074	-133,953275200213	-139,738104530107	-150,406538709723	-142,207896526534	-149,186124605206	-168,920664154882	-203,576373282169
maj. triple sixth	13,1764003776366	-0,0493713267787825	2,95008402355506	6,79472603464819	11,9756043419252	53,1549426541342	27,7054551503243	13,5073787398965	30,8575505667413	48,0201918784569	29,505275451922	20,81720589215	14,0680583433905	32,9716424748044	3,59809665245939	8,35323916599827	-0,316810767874358	-14,170608484088	10,4616271903606	-0,533274041054483	-14,4902637286609	-28,3206775473254	-35,3197357340332	17,1755324118535	-50,3007753624397	-64,7940159268487	-71,397764227047	-106,821585090895	-41,6998576116453	-48,9341034092809	-129,092362927577	-103,091868583851	-209,504984934405	-185,782448585439	-80,8352961694932	-266,984462220831	-240,116787189434	-234,867703341843	-231,930595852351	-214,188330861521	-244,786360215179	#VALUE!
triple octave	34,6963372116197	5,65767393212263	18,4830021987027	22,7423248755063	29,0466123418742	77,2221533440111	43,7689740365909	29,250186567639	52,7181247005597	67,7627884511289	49,5546990661719	41,8773501430555	38,7365035273469	51,2619648760942	14,6283227080039	17,5247369743156	8,99944897616342	-9,45916006042535	26,576671331261	8,75951958384167	-1,39047369324953	-18,3064128361743	-27,5903611344397	34,5650995019337	-43,1744238264428	-66,7515100723426	-73,3783192324668	-110,401422438641	-37,460466599653	-41,7999448813698	-138,943189218555	-109,7383335726	-233,184154075085	-208,003866351527	-114,148944930496	#VALUE!	#VALUE!	#VALUE!	#VALUE!	#VALUE!	#VALUE!	#VALUE!