Success! I found this song in the older hymnbook, but it has been omitted from our more recent one. Unlike most songs in the book, this one has no indication of author or composer, which leads me to believe that it was passed on by oral tradition as the story above indicates. Here is the tune in ABC format, along with the words as they appear in the hymnbook - a few minor differences than above plus two additional half-verses (the second half of verses 1 & 2).
LET EACH MAN LEARN TO KNOW HIMSELF
Source: Hymns - Church of Jesus Christ of Latter-Day Saints
Let each man learn to know himself;
To gain that knowledge let him labor,
Improve those feelings in himself
Which he condemns so in his neighbor.
How lenient our own faults we view,
And conscience's voice adeptly smother,
Yet, oh, how harshly we review
The selfsame failings in another!
(chorus)
Let each man learn to know himself;
To gain that knowledge let him labor,
Improve those failings in himself,
Which he condemns so in his neighbor.
And if you meet an erring one
Whose deeds are blameable and thoughtless
Consider, ere you cast the stone,
If you yourself are pure and faultless.
Oh, list to that small voice within,
Whose whisperings oft make men confounded,
And trumpet not another's sin;
You'd blush deep if your own were sounded.
And in self judgement if you find
Your deeds to others' are superior,
To you has Providence been kind,
As you should be to those inferior.
Example sheds a genial ray
Of light which men are apt to borrow,
So first improve yourself today
And then improve your friends tomorrow.
X:80
T:LET EACH MAN LEARN TO KNOW HIMSELF
S:Hymns - Church of Jesus Christ of Latter-Day Saints
M:C
K:F
L:1/4
Q:1/4=84
C|C F F3/2 G/2|A3/2 B/2 A C|A3/2 B/2 G/2 C3/2|
W: Let each man learn to know himself; To gain that knowledge
G3/2 A/2 G/2 F C/2|C F F3/2 G/2|A3/2 B/2 A C|
W: let him labor, Improve those feelings in himself Which
A3/2 B/2 G/2 C3/2|G3/2 A/2 G/2 F G/2|G E G c|
W: he condemns so in his neighbor. How lenient our own
=B3/2 A/2 F3/2 E/2|D F =B3/2 A/2|G D A/2 E
W: faults we view, And conscience's voice adeptly smother,
G/2|G E c3/2 G/2|=B3/2 A/2 G3/2 F/2|E/2D/2 E/2F/2 A3/2 G/2|
W: Yet, oh, how harshly we review The selfsame failings
G/2^F/2=F/2 D/2 D/2 C||C/2|C F F3/2 G/2|A3/2 B/2 A C|
W: In another! (chorus) Let each man learn to know himself; To
A3/2 B/2 G/2 C3/2|G3/2 A/2 G/2 F F/2|B3/2 A/2 G F|
W: gain that knowledge let him labor, Improve those failings
G A c/2=B/2_B/2 G/2 F C A3/2 B/2|A3/2 G/2 G/2 F3/2||
W: in himself, Which he condemns so in his neighbor.
W: 2:
W: And if you meet an erring one
W: Whose deeds are blameable and thoughtless
W: Consider, ere you cast the stone,
W: If you yourself are pure and faultless.
W: Oh, list to that small voice within,
W: Whose whisperings oft make men confounded,
W: And trumpet not another's sin;
W: You'd blush deep if your own were sounded.
W: 3:
W: And in self judgement if you find
W: Your deeds to others' are superior,
W: To you has Providence been kind,
W: As you should be to those inferior.
W: Example sheds a genial ray
W: Of light which men are apt to borrow,
W: So first improve yourself today
W: And then improve your friends tomorrow.
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