Acoustics for Auditoriums and Concert Halls 173
of curvature should therefore be above half the total
height of the room or below twice the height, Fig. 7-31.
(7-48)
According to Cremer^9 it is guaranteed in this case
that there do not originate from the curved ceiling any
stronger reflections towards the receiving area than
from a plain ceiling at apex height.
7.3.3.2.3 Balconies, Galleries, Circles
With proper arrangement and dimensioning, balconies
and circles may have an acoustically favorable effect,
since they contribute to a broadband diffuse sound
dispersion and are also able to supply initial reflections
for enhancing clarity and spatial impression. In this
respect it is necessary, however, to decide if these
reflections are desirable. Fig. 7-32A shows a graph of
long-delayed sound reflections which give rise to very
disturbing echo phenomena, the so-called theater
echoes. Instrumental in the generation of these reflec-
tions is, first of all, the rear wall in combination with
horizontal architectural elements (circle, gallery,
balcony, ceiling). The disturbing effect of these sound
reflections has to be avoided. Protruding balconies are,
thanks to their horizontal depth, capable of shading
these corner reflectors and to turn the reflections into
useful sound, Fig. 7-32B.
The arrangement of far protruding circles is acousti-
cally problematical with regard to the depth D (distance
of the balustrade or of a room corner above it from the
rear wall) and the clearance height H of the circle above
the parquet or between two circles arranged one above
the other. If the protrusion is very deep, the room area
situated below it is shaded against reverberant sound
and clarity-enhancing ceiling reflections. This area may
be cut off from the main room and have an acoustic
pattern of its own with strongly reduced loudness,
unless certain construction parameters are observed,
Fig. 7-33.2,7,9
7.3.3.3 Room Topography
7.3.3.3.1 Sloping of Tiers, Sight Lines
For all room-acoustical parameters describing time and
registers clarity, the energy proportion of direct sound
and initial reflections is of great importance. With the
sound propagating in a grazing fashion over a plain
audience area there occurs a strong, frequency-depen-
dent attenuation (see Section 7.3.4.4.4). Also, visually,
such a situation implies considerable disadvantages by
obstruction of the view towards the performance area.
These disturbing effects are avoided by a sufficient and,
if possible, constant superelevation of the visual line.
Figure 7-30. Ceiling configurations for obtaining
energy-rich initial reflections in the middle and rear listener
areas.
Figure 7-31. Focusing due to vaulted ceilings.
r h
2
--- or rtd 2 h
A.
B.
C.
D.
r
h
r
h