Acoustical experimental analys is on worship buildings aimed to their use as auditorium Anna Magrini, Paola Ricciardi Dipartimento di Ingegneria Idraulica e Ambientale, Università di Pavia, Via Ferrata 1, 27100 Pavia, Italy , [email protected], [email protected] The acoustic characterisation of buildings for music performances involves not only theatres, but also worship buildings, that with adequate acoustic quality, could held musical performances although temporarily. In order to complete previous analyses, focus ed on Churches with rect angular plans and two aisles, also cent ral plan Churches were investigated. Considerations on experimental values of the mai n acoustic paramet ers obtained in a considerabl e number of Churches are here presented. Measurement results were compared with acoustic data available in literature regarding theat res and auditoriums. The examined Churches are cl assifi ed in agreement with the optimal values of the acoustical parameters for the listening of music. Moreover the spatial distribution of the acoustical parameters, as a function of the source – receiver distance, is evaluated. It is then correl ated to the presence of architectural elements, such as lateral chapels, dome, vaults and columns. 1 paramet ers. In literature, a great number of Church acoustical data is available, but the geomet rical characteristics are often not indicated; therefore a wider examination of the correl ation among various experimental parameter and geometric characteristics is not possible. Introduction The realisation of this work aims at the valorisation of the wide historical and artistic Italian heritage through the acoustic characterisation of buildings for music perform ances. Most part of the experimental analyses was focused on worship buildings that could be used as auditoriums. In addition, this research is aimed to find out significant points where measurements should be carried out, on the base of the internal geometry and the peculiarity of the environment, in order to reduce the high number of measurement points and, therefore, the large amount of data to process. The authors carried out experimental investigations on Churches having di fferent plan configurations: rectangul ar plan with two aisles [1, 2, 3] and circular plan [4]. Most of the considered worship buildings present articul ated environments, such as lateral chapels, coupled rooms, diffusive elements or obstacles to the sound propagation, orientation of surfaces, convex surfaces than can creat e sound concentration. The internal geometric complexities certainly influence the acoustic field [5] even though do not lead to simple correlations among acoustical paramet ers and spatial geometric characteristics. 2 State of art of the research In the res earch on the acoustic charact erisation of worship buildings, a great amount of buildings was already subject of experimental investigations. In particular, formerly in the ’50s Raes and Sacerdote [6] carried out acoustical measurem ents on Basilicas of S. Giovanni in Laterano and S. Paolo Fuori Le Mura in Rome. The same Roman Basilicas were subject of study by R .S. Shankland and H.K. Shankland [7], who in the ‘70s analysed also S. Peter’s Church in Rome. In the same years Fearn [8] examined reverberation time in Spanish, English and French Churches. Successively Giulianini and Cocchi [9] experimentally studied 7 Italian Churches (St. Andrea in Mantova, St. Petronio in Bologna, St. Maria Maggiore, St. Agostino in the region of Marche, St. Elena, N.S. Moretta and St. Paolo in Alba, Piemonte). With no doubts acoustical parameters such as Clarity and Definition Indexes are quite sensitive to early reflection components of sound and thus highly dependent on the building shape. Nevertheless this consideration could be ext ended to the Reverberation Time: recent studies on Churches with a central plan and dome [4] put in evidence the fact that, in some cases, reverberation time below the dom e assumes lower values than in the other measurement points. Therefore comes the need of a deeper analysis on the way every single geometri cal - architectural elem ent, such as the presence and dimension of columns, arches, vaults and surfaces with elements in relief as altar or pulpit etc. could influence the sound paths and, consequently, the spatial distribution of the acoustical A few years later, another experimental analysis was developed by Recuero, Gil and González [10] in the 2387 Forum Acusticum 2005 Budapest Magrini, Ricciardi monastery of Santo Domingo of Silos in Burgos, in Spain. In 1994 Lannie and Soukchov [11] published experimental results taken in 5 Russian temples with tent roof. In 1998 Hamed and Hassan pres ented reverberation time values of the State Mosque of Kuwait [12]. In the same period, another It alian Church, the Gesù Church of Ancona, was analys ed by Iannotti e Mattei [13], while Galindo and others [14, 15] carried out measurem ents in 8 Churches of the Gothic - Mudej ar period, in Spain. Carvalho [16] analysed 41 Portuguese Churches and, in collaboration with Desarnaulds, Swiss Churches [17]. In the fi rst measurem ent campaign, ten Churches [1, 2] of the city of Genoa were select ed, with rectangular plans and two aisles with and without lateral chapels and/or cupol as, with volume vari able from 2183 to 43540 m3 . The typical Church plan and section considered in this measurem ent session are shown in Figure 1. The second experiment al analysis was developed in 14 Genovese Churches [4] with central plan, with volume variable from 1409 to 43756 m3 . Plan and section of one of them are reported in Figure 2. In the late years, worship buildings were widely studied both in the north and in the south of Italy: Martellotta [18] analysed Romanic Churches in Puglia, Magrini and Ricciardi carried out experimental campaigns in the city of Genoa on 10 Churches [1, 2], with rect angular plans and two aisles, on 14 Churches [4], with central plans. Moreover Magrini A. and Magrini U. [3, 19] investigated 6 Medieval Abbeys of the Cistercian order, 3 in the North of Italy and 3 in the South of France. 3 Experimental analysis Subject of the investigation were numerous Churches, with various geometrical configurations, various historical periods and, consequently, various typologies of furnishing. Figure 2 - Plan and Section of St. Zita Church Most recent measurem ents were developed in Medieval Cistercian Abbeys with volume variable from 3390 to 14970 m3 [17]. Plan and section of one of them are shown in Figure 3 and 4. The method, common to all the measurements, was based on the backward integration of Schroeder [20]. Churches were unoccupied during measurem ent. The source was positioned near the altar and the microphone positions were chos en as function of the various configurations of the plan, variable from a minimum number of 6 to a maximum number of 28 for each Church. Figure 1 - Plan and Section of St. Donato Church 2388 Forum Acusticum 2005 Budapest Magrini, Ricciardi cupolas and it was built in Baroque style (start ed in 1592 by Marcello Pallavicino and completed in 1637). Figure 5 - Reverberation Time RT at 500 Hz as function of the volume V of the Churches and the optimum trend of RT for various types of music Figure 3 - Plan of Morimondo Abbey and Cloister Moreover, other 3 rectangular plan Churches could be employed for the listening of cl assical or organ music: the cathedral of Genoa, St. Lorenzo, St. Vallisa of Bari and St. Nicola of Bari. Some other Churches, mainly with rectangular plans and two aisles could be us ed for organ music, such as the small St. Cosma and Damiano, the Romanic St. Donato and St. Maria di Castello. It can be noticed that almost all the central plan worship buildings are not appropriat e to be used as auditorium, unless some acoustic corrections are realised. Figure 4 - Section of Morimondo Abbey 4 Discussion In Figure 5 experimental values of the Reverberation Time at 500 Hz are plotted as function of the Church volumes. Data referred to the Church investigated by the authors [1, 2, 3, 4] and by other s cientists [14, 15, 18] are reported. In order to classi fy their potential musical fruition, RT values are compared with the optimal param eters for the listening of music and speci fi cally for organ music, classical music and modern (pop) music. The Church that better agrees with the listening of modern music is St. Agostino [2], which was, in effect, quite recently acoustically restored. Only one central pl an Church s eems to be suitable either for modern (pop) or classical music: Gesù Church. It is also the most articulated, since it has 7 Figure 6- Mean Reverberation Time as function of the V/S ratio for various worship buildings 2389 Forum Acusticum 2005 Budapest Magrini, Ricciardi In Figure 6 experimental values of the Reverberation Time (125 - 4 kHz average values) are plotted as function of V/S ratio [m] (volume of the Church/pavement surface) of the Churches subject of investigation [1, 2, 3, 4] and of other ones analysed by Italian and Spanish scientists [14, 15, 18]. For a deeper comparison, additional data referred to theatres are present ed on the graphic [21]. Considering only the values referred to worship buildings, a regression line was traced, defined by the equation y = 0.25 x, with R 2 = 0.53. It identifies two zones with distinguished geometrical characteristics, one above and one below the regression line. For the Clarity Index there is not a clear subdivision among the values lying below and above the regression line. The more dispers ed dat a from the regression line are the ones rel ated to Churches with rectangul ar plans and two aisles and precisely, N.S. Consolazione, St. Annunziata and St. M. di Castello, having volumes respectively of 18842, 26603 and 21100 m3. In addition an analysis on the spatial distribution of the acoustical paramet ers was carried out. The RT average values (125 Hz – 4 kHz), as function of the S-R (source-receiver) distance were examined. The S-R distance was referred to the central nave, for longitudinal plans [1, 2, 3], and to the direction linking source (altar) and centre of the plan, up to the end of the Church, for central plan Churches [4]. The RT values of Cistercian Abbeys [3] and of Spanish Churches [14, 15] are distributed above the line, as well as the values detected in almost all the Churches with rect angular plan and two aisles [1, 2]. RT values referred to an analysis conducted in Southern Italy [18] are all located below the regression line. Values of RT correlated to central plan Churches are more dispersed [4]. In details, Figure 8 shows that for values lower than 3.5 s, the RT remains quite constant towards the back. For values higher than 3.5 s the variation of RT is more evident. More precisely, the highest vari ation of 1.46 s is reached in St. Maria Assunta in Carignano, which is the central plan Church with the biggest volume (43756 m3 ). Moreover the unique Churches with rectangular plan and two aisles [1, 2] that are below the regression line are without cupola (St. Agostino, St. Donato e St. Siro). Among the ones with central plan, more dispersed values from the regression line are the ones related to Churches having higher volume of cupolas (St. Zita, and Gesù Church), respectively 7657 m3 e 7310 m3 [4]. Figure 7 shows experimental values of Clarity Index C80 as function of the volume of the Church – pavement surface ratio (V/S), of the Churches subject of investigation [1, 2, 3, 4], and of other ones [14, 15, 18]. The regression line has the equation y = - 0.2 x 2.33 y and R2 = 0.5. Figure 8 – Mean Reverberation Time as function of the source – receiver distance Figure 7- Clarity Index as function of V/S of various worship buildings 2390 Forum Acusticum 2005 Budapest Magrini, Ricciardi In some of the analysed Churches there is a di fference of behaviour as a function of the major and minor distance to the altar: in Chiaravalle for a distance minor than 27-30 meters the RT varies of 0.6 s. Over this limit, this effect seems to be less evident. In Morimondo the same trend is shown in the first 15 m [22]. than 35 m, C80 values tend to be more constant, apart from Morimondo Abbey [22]. This behaviour confirms previous analyses regarding C80 distribution, speci fically for longitudinal plan Churches [1, 2]. The plot of the Definition Index versus the sourcereceiver distance is shown in Figure 10. The same decreasing tendency of C80 is here only for sourcereceiver distance shorter than 20 m. Beyond this limit, D50 values are more constant. 5 Conclusions Experimental measurements taken in 10 Churches with two aisles, 14 with central plans and 3 M edieval Abbeys, were examined, aiming to classi fy them in accordance with the optimal values of the acoustical paramet ers for the listening of music. The results put into evidence that worship buildings with more articulated volumes, for example Gesù Church, with 7 cupolas, are more adequat e for music perform ances. Almost all the central plan Churches are not appropriate to be used as auditorium, unless some acoustic corrections are realised. The most evident characteristic of the spatial distribution of the acoustical param eters, as a function of the source – receiver distance, was associated with the presence and the volume of cupolas. It was observed that reverberation time as function of the V/S ratio follows a regression line common to Churches available from literature. Figure 9 – Clarity Index as function of the source – receiver distance The RT distribution for Churches with rectangul ar plan and two aisles without cupol as was signi ficantly different from the ones with central plans, and, among these last ones, bigger volume Churches pres ented more scattered RT values. The Clarity Index distribution showed decreasing values when the source – receiver distance was increasing up to 35 m. The same effect was evident also for the Definition Index, but only for sourcereceiver distance lower than 20 m. References [1] A. Magrini, P. Ricciardi, “ An Experimental Study of Acoustical Param eters in Churches ”, International J. of Acoustics and Vibration, 7, N. 3, (2002). [2] A. Magrini, P. Ricciardi, "Churches as auditorium: analysis of acoustical param eters for a better knowledge of sound quality", J. Build. Acoust, 10, No. 2 (2003). Figure 10 – Definition Index as function of the source – receiver distance In Figure 9 the Clarity Index C80 is plotted versus the S-R (source-receiver) distance. It can be noticed that there is a decreasing tendency of the Clarity Index C80 with increasing values of the source – receiver distance. When the source-receiver distance is more 2391 Forum Acusticum 2005 Budapest [3] [4] [5] [6] [7] [8] [9] [10] [11] A. Magrini, U. Magrini, “Measurement of acoustic properties in medieval Abbeys ”, Proceedings of 18th ICSV, St. Petersburg, Russia, 5-8 July (2004). A. Magrini, P. 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