I prefer numbers to solfege for the following reasons:
1) Numbers are part of a student's vocabulary at ANY POINT prior to studying music. Solfege requires taking precious learning time to teach new material. This time can be better used to teach other musical concepts.
2) Numbers are part of familiar culture. Solfege was adapted from the Gregorian hymn, "Ut Queant Laxis" by Guido d' Arezzo. Guido's idea was great for his era; however, "Ut Queant Laxis" is no longer part of most anyone's culture at this point in history.
3) Numbers INSTANTLY indicate "high" and "low" pitches. Solfege only does this after the system is learned.
4) Numbers are used in identifying intervals (major third, perfect fifth, et, al.), and roman numeral chord symbols (I, IV, vi, et. al.) so they can be integrated with a study of music theory. Solfege does not lend itself to integration with any other musical learning.
It isn't an either/or situation.
Integers are of their nature an ordered series; words used to denote degrees are only so by convention. Integers are not only useful for expressing degrees, but the intevals which are an inherent property of the series.
If the educational background is present, you could sing intervals to planet names, or anything else, for that matter.
so it's not surprising that Solfege tends to be abandoned once discussion extends to harmony and counterpoint.
Using the integers doesn't help with vowel formation, but why should it? Distinct vowel-based exercises can address that need more efficiently.
I'm a moveable do guy myself. I don't see any gain in quasi-perfect-pitch retention in fixed do, and it strips away any reference to scale structure.
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