But there is this fundamental difference, that, whereas our plainsong is strictly diatonic, and its intervals are constant, theirs is enharmonic, and has varying intervals. Not only do they sing 34 and 54 tones, but in different modes, even in the same mode, according as the melody rises or falls, the interval between two notes changes. As a specimen, this is the ascending scale of the first authentic mode, with the intervals between the notes in brackets: re (109), mi (1615), fa (98), sol (109), la (98), si (1615), do (98), re. When it descends the scale becomes: re (98), do (109), si (2725), la (109), sol (98), fa (1615), mi (109), re.[1] On the other hand, in the second plagal mode, the interval re-mi is 1615 tone, mi-fa, 600503, &c. To Western ears this music certainly sounds very strange and barbarous. It is much discussed whether the enharmonic intervals are really Greek, or whether they are due to later Asiatic influence. The Byzantines have other musical practices that make their singing still more unpleasant to us. They add astonishing grace notes and incredible pneums, rushing through quarter-tones and half-quarter tones round about the note that we should expect them to hold. Their melodies continually change from one mode to another, and, as they have no accompaniment and only the vaguest pneums printed in their books,[2] it is difficult for the singers to know what mode they should sing. To help them, a boy is made to sing the Ison ((