have all students prepare two lessons in harmony as a test of their
acquaintance with the intervals and chords used in tuning. The lessons
are not difficult, and they embody only those principles which are
essential to the proper understanding of the key-board: the intervals
of the diatonic scale and the major common chord in the twelve
different keys, C, D, E, F, G, A, B, B-flat, D-flat, E-flat, G-flat,
and A-flat. In connection with the harmony lessons, we use as a
text-book "Clarke's Harmony,"[A] and the student is required to master
the first two chapters and prepare manuscripts upon each of the
lessons. Below is a number of the most important questions selected
from those lessons upon which manuscripts have been written:

1. Every white key on the piano represents an "absolute pitch."
By what names are these pitches known? How are the black keys
named?

2. How many tones constitute the diatonic scale? Give numerical
names.

3. Intervals are measured by steps and half-steps. How many steps
from 1 to 3 in the diatonic scale? 1 to 4? 1 to 5? 3 to 5? 5 to
8? 1 to 8?

4. Why is there no black key between E and F, and between B and
C?

5. From 1 to 3 is called an interval of a third; from 3 to 5,
also a third; from 1 to 5, a fifth: they are so called because
they include, respectively, three and five members of the
diatonic scale. What is the interval 3 to 6? 2 to 5? 5 to 8? 2 to