For natural languages, are there writing systems that consist entirely of signs for phonemes on one hand and grammatical morphemes on the other?

Question

At omniglot.com, we find scripts whose characters more-or-less stand for consonant phonemes, or all phonemes, or syllables, or words. But I've never heard of a language whose written form consists entirely of phonemic symbols plus separate symbols for grammatical morphemes whether free (like adpositions or conjunctions) or bound (like case or tense affixes).

Has any of the readers heard of such a script?

In English writing, we have a limited number of grammatical morpheme characters on our keyboards, such as "&" and "@," but we don't use them in formal prose. But I'm talking about a writing system with a bigger repertoire of grammatical morpheme characters.

Answer 1

Omniglot (which I highly recommend) lists a number of "semanto-phonetic" writing systems including modern Chinese and Japanese. Most of these are ideographic or logographic in nature, though.

I think the closest you may come to the literal description in your question is shorthand, systems of tachygraphy for various languages. One modern example is Pitman Shorthand for English, consiting of symbols including the following

consonants: p b f v m l t d th dh n r ch j s z ng w k g sh zh h y
vowels: ɑː eɪ iː ɔː oʊ uː æ ɛ ɪ ɒ ʌ ʊ aɪ ɔɪ aʊ juː
morphs: a(n) the (h)as (h)is it are of to I you and for have think thank that

Older shorthands included the Tironian notes (notae tironianae), Greek tachygraphy (of which not much is known), and various forms of scribal notation (although these were usually purely phonetic in nature). Remnants of these can be found in modern European languages, e.g. & and.

Finally, there is the Moon System of embossed letters for the blind. In addition to symbols for the English letters, it includes signs for:

-ing -ment -tion -ness and the -ound -ence -ful -ity