Thread has gone on a bit of a tangent but to go back to the original question, I'd say it's simplistic to consider it as a progressive book. Beyond the early sections, what you have is a huge catalog of specific goal oriented tools to overcome the difficulties of the instrument. It should really be considered that way. How to use it depends on your goals, type of music played and many other factors.
It is best used under guidance of a teacher, who may be better able to determine what exercises you need in the big catalog of the method.
It is also strongly influenced by the musical fashion of the times in which it was written, and therefore carries a certain concept of how the well rounded player should sound when reaching the higher levels of the method. Because of Arban's background, taste and the music of the period, that influence owes quite a bit to the Bel Canto tradition. It is a great way to learn but not necessarily corresponds to what one may want to play in our days. Still, Mr Wise has indicated on this forum how useful the method has been to himself and Lee Morgan, so it reaches way beyond 19th century Western European trends.
Arban, the one stop shop for all solutions to trumpet/cornet playing problems...
Selmer Radial, Bb.
Yamaha YTR4420E, C.
1930 Couesnon cornet
A mind that masters the breath
Creates strength (Lao-Tzu).
Bb Trumpets: Yamaha YTR-6335HSII - Flip Oakes "Wild Thing" - 1972 Getzen Eterna "Severinsen" - 1980 Boosey & Hawkes Sovereign Studio - B&S 3005 WTR-L - 1963 Besson 10-10 - Monke Mystery Horn - Spiri Vario
C Trumpet: Inderbinen Alpha 200
Bb Bass: 1961 Holton #58 "Symphony"
Wyrd oft nereš unfågne eorl, žonne his ellen dėah.
"Pypes, trompes, nakers, clariounes, that in bataille blowen blody sounes"
1929 Holton Monster E-flat tuba
1932 Conn 6E New Wonder alto horn
1937 Indiana Band Instrument Company E-flat sousaphone
1956 Holton Super Collegiate trumpet - Copper/Nickel/Brass
1964 Holton Collegiate cornet
1966 Conn 4D Artist "French" horn
1967 Olds Ambassador cornet
1969 King Silver Flair trumpet
1995 Yamaha YEP-321S euphonium
2006 Blessing XL-CR cornet
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