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how to notate descending intervals + descending interval guide chart

1. just want to confirm:

when i want to say:
E going up a perfect 4th to an A,  its     E---->A
when i want to say:
A going down a perfect 4th to an E  , is it     E<----A ?

either way, its a perfect 4th interval, but i have gotten confused
before. My mind wants to say P5 but that would be A---->E.

also:

2. Can someone suggests some good songs to memorize descending
intervals?

minor 2 = joy to the world
M2   =  yesterday
m3 = Hey Jude
M3 = summertime or three blind mice
P4 = oh come all ye faithful
P5 = ?
m6 = i know its MISTY (1st to 3rd tone) but is there another good one?
M6 = ?
m7 = ?
M7 = ?
Octave = ?


Thanks
n

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