I'm catching up on reading the threads that I have bookmarked so I'm way late to this but anyone might find this beneficial.
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True walking has never been a part of my playing but I've always wanted to know how to do it well and interestingly. I've stacks of transcriptions of play a longs. I've even tried to analyze them to figure out what is going on. So many accidentals, so confusing. So many intervals, none are owned by my ear though I can play 1 3 5 7 in inversions all day. Mechanically. I recently got Ed Fuqua's Walking Bassics which is great and he emphasises learning to hear the intervals. However, I stumbled on the link above which breaks it down even smaller which is what I need at this point. We all learn difderently and some of us need very small steps. For instance, Stinnett highly recommends that you add only one note/interval at a time to your practice and get that ingrained. Ex: R R R approach next chord from one semi tone below.... R R R approach one ST from below. After that is ingrained, do the same but approach from one ST above. You don't confuse the ear by mixing them yet. This is as far as I have come in about 10 days; approach from below and working on approach from above. It's surprisingly fun as it takes a lot of pressure off, and it's easy to rehearse without bass in hand if you only have to concern yourself with two notes on any given chord. Like I said, I'm just beginning but it's great; concentrating on one note at a time is working for me.... and you'd be surprised how challenging/fun it is to do when you use the example which has modulations rather than just I IV V. Don't worry about the modulations and how they work, just focus on what a half step approach sounds like.
I'd like to reiterate what all of the leading teachers say... there are no shortcuts. SLOW methodical learning is where it's at. I CAN play and I can explain why what I play works but until you can slow down and sing it or hear it, truly, accurately hear it in advance of playing it, you are just being robotic. No offense, it's where I am. Works fine enough but from a practical perspective, songs take longer to learn when the pitches aren't in your mind but only in your fingers. And don't play the songs for a while and you forget them. If you truly hear the pitches, you never forget.