Embed Audio - WordPress
From Help Wiki
If you host your file on your site
(great for shorter recordings and .mp3)
- Make sure your audio file is in the .mp3 file format
- Use the Add Media button when editing your post or page and upload your audio file and Insert into post. This will automatically create an embedded audio player with transport controls to play/pause your audio track.
Host your audio offsite at SoundCloud
(good for higher quality/larger files)