Pedestrian Rhyme

I have been asked this a few times and was quite curious to see what it meant as well. So I did some research and quite plainly could find nothing. So I said let me simplify it. Define the two words and perhaps I can difine the term. So from the American Heritage dictionary Pedestrian is defined as

pe·des·tri·an (pə-dĕstrē-ən)
n.
A person traveling on foot; a walker.

adj.
1. Of, relating to, or made for pedestrians: a pedestrian bridge.

2. Going or performed on foot: a pedestrian journey.

3. Undistinguished; ordinary: pedestrian prose. See Synonyms at dull.

[From Latin pedester, pedestr-, going on foot, from pedes, a pedestrian, from pēs, ped-, foot; see ped- in Indo-European roots.]
pe·destri·an·ism n.

The American Heritage® Dictionary of the English Language, Fourth Edition. Copyright© 2006, 2000 by Houghton Mifflin Company. Published by Houghton Mifflin Company. All rights reserved.

Rhyme is defined as:

rhyme also rime (rīm)

n.
1. Correspondence of terminal sounds of words or of lines of verse.

2.
a. A poem or verse having a regular correspondence of sounds, especially at the ends of lines.

b. Poetry or verse of this kind.

3. A word that corresponds with another in terminal sound, as behold and cold.

v. rhymed also rimed, rhym·ing also rim·ing, rhymes also rimes

v.intr.
1. To form a rhyme.

2. To compose rhymes or verse.

3. To make use of rhymes in composing verse.

v.tr.
1. To put into rhyme or compose with rhymes.

2. To use (a word or words) as a rhyme.

[Alteration (influenced by rhythm) of Middle English rime, from Old French, of Germanic origin; see ar- in Indo-European roots.]

*** Note the Highlighted selections so if we were to put the two together we would have

Pedestrian Rhyme - ordinary, undistinguisable prose or verse having corresponding sounds especially at the ends of lines in a poem.

An example of Pedestrain poetry would be:

My Sweetheart went down with the ship

Words by Roger Lewis Music by F. Henri Klickmann Published 1912 by Frank K. Root & Co. Chicago and New York, USA

My Sweetheart went down with the ship,
Down to an ocean grave,
One of the heroes who gave his life,
The women and children to save,
Gone but not forgotten,
Tho' the big ship rolled and dipt'
He went o sleep in the ocean deep,
My Sweetheart went down with the ship.