You can install Dictanote directly from the Safari browser on iOS in 2 minutes. Note that dictation does not work on iOS unfortunately due to iOS not having the APIs needed. All other features like offline editing, fully-featured notebook, wysiwyg editor etc work.
Step 1: Open dictanote.co in the Safari browser.
Step 2: Tap the Bookmark icon at the bottom of the screen (it resembles a box with an upward-pointing arrow)..
Step 3: Tap Add to Home Screen.
Step 4: Accept the suggested name for the shortcut, or enter one you like better.
Step 5: At the top of the screen, tap Add to save the new shortcut icon to the home screen.
You'll now see the new icon next to all your other app icons. If you use several home screens, you may need to scroll through them to locate it. To use the icon, just tap it to go directly to Dictanote.