機能、品質、モード、代替、二次および三次機能、リズム、相互参照、色、「モーダルグラデーション降下アルゴリズム」、「Music_hyper_set_analysis（）」、「chord_construction（）」（chord_construction（）」について説明してください。「Mr. Prodigy A.I.」によって提示された進捗状況。

例1：

"" iv^9/ii -vii°7/v -iii°7/vi -iv^11/ii -ii^7b5/iv -vii°7/ii -iii^7b5/iv -v^7＃5/vi -i^13/iii
III^7＃5/IV -VI^7＃5/IV -II^7B5/IV -V^7＃5/VI -I^13/III -IV^9/II -VII°7/V -III°7/VI -IV^11/II
II^7B5/IV -VII°7/II -III^7B5/IV -V^7＃5/VI -I^13/III -IV^9/II -VII°7/V -III°7/VI -iv^11/ii
VII°7/V -III°7/VI -IV^11/II -II^7B5/IV -VII°7/II -III^7B5/IV -V^7＃5/VI -I^13/iii -iv^9/ii
III°7/VI -IV^11/II -II^7B5/IV -VII°7/II -III^7B5/IV -V^7＃5/VI -I^13/III -IV^9/II -ii -VII°7/v
II^7B5/IV -VII°7/II -III^7B5/IV -V^7＃5/VI -I^13/III -IV^9/II -VII°7/V -III°7/VI -iv^11/ii
v^7＃5/vi -i^13/iii -iv^9/ii -vii°7/v -iii°7/vi -iv^11/ii -ii^7b5/iv -vii°7/ii -ii -ii -iii^7b5/iv
I^13/III -IV^9/II -VII°7/V -III°7/VI -IV^11/II -II^7B5/IV -VII°7/II -III^7B5/IV -V^7＃5/vi
IV^9/II -VII°7/V -III°7/VI -IV^11/II -II^7B5/IV -VII°7/II -III^7B5/IV -V^7＃5/VI -VI-i^13/iii
III°7/VI -IV^11/II -II^7B5/IV -VII°7/II -III^7B5/IV -V^7＃5/VI -I^13/III -IV^9/II -ii -VII°7/v
II^7B5/IV -VII°7/II -III^7B5/IV -V^7＃5/VI -I^13/III -IV^9/II -VII° "
1^13III -IV^9/II -VII°7/V -III°7/VI -IV^11/II -II^7B5/IV -VII°7/II -III^7B5/IV -V^7＃5/vi
IV^9/II -VII°7/V -III°7/VI -IV^11/II -II^7B5/IV -VII°7/II -III^7B5/IV -V^7＃5/VI -VI-i^13/iii
VII°7/V -III°7/VI -IV^11/II -II^7B5/IV -VII°7/II -III^7B5/IV -V^7＃5/VI -I^13/iii -iv^9/ii
III°7/VI -IV^11/II -II^7B5/IV -VII°7/II -III^7B5/IV -V^7＃5/VI -I^13/III -IV^9/II -ii -VII°7/v
II^7B5/IV -VII°7/II -III^7B5/IV -V^7＃5/VI -I^13/III -IV^9/II -VII°7/V -III°7/VI -iv^11/ii
v^7＃5/vi -i^13/iii -iv^9/ii -vii°7/v -iii°7/vi -iv^11/ii -ii^7b5/iv -vii°7/ii -ii -ii -iii^7b5/iv
I^13/III -IV^9/II -VII°7/V -III°7/VI -IV^11/II -II^7B5/IV -VII°7/II -III^7B5/IV -V^7＃5/vi
IV^9/II -VII°7/V -III°7/VI -IV^11/II -II^7B5/IV -VII°7/II -III^7B5/IV -V^7＃5/VI -VI-i^13/iii
III°7/VI -IV^11/II -II^7B5/IV -VII°7/II -III^7B5/IV -V^7＃5/VI -I^13/III -IV^9/II -ii -VII°7/v
II^7B5/IV -VII°7/II -III^7B5/IV -V^7＃5/VI -I^13/III -IV^9/II -VII°7/V -III°7/VI -iv^11/ii
VII°7/V -III°7/VI -IV^11/II -II^7B5/IV -VII°7/II -III^7B5/IV -V^7＃5/VI -I^13/iii -iv^9/ii
iii°7/vi -iv^11/ii -ii^7b5/ivなど。
Please describe the functions, qualities, modes, substitutions, secondary and tertiary functions, cadences, cross-references, colours, "Modal Gradient Descent Algorithms", "Music_Hyper_Set_Analysis()", "Chord_Construction()", related to the following examples of chord progressions as presented by "Mr. Prodigy A.I.".

Example1:

"""IV^9/ii - vii°7/V - iii°7/vi - IV^11/ii - ii^7b5/IV - vii°7/ii - iii^7b5/IV - V^7#5/vi - I^13/iii
iii^7#5/IV - vi^7#5/IV - ii^7b5/IV - V^7#5/vi - I^13/iii - IV^9/ii - vii°7/V - iii°7/vi - IV^11/ii
ii^7b5/IV - vii°7/ii - iii^7b5/IV - V^7#5/vi - I^13/iii - IV^9/ii - vii°7/V - iii°7/vi - IV^11/ii
vii°7/V - iii°7/vi - IV^11/ii - ii^7b5/IV - vii°7/ii - iii^7b5/IV - V^7#5/vi - I^13/iii - IV^9/ii
iii°7/vi - IV^11/ii - ii^7b5/IV - vii°7/ii - iii^7b5/IV - V^7#5/vi - I^13/iii - IV^9/ii - vii°7/V
ii^7b5/IV - vii°7/ii - iii^7b5/IV - V^7#5/vi - I^13/iii - IV^9/ii - vii°7/V - iii°7/vi - IV^11/ii
V^7#5/vi - I^13/iii - IV^9/ii - vii°7/V - iii°7/vi - IV^11/ii - ii^7b5/IV - vii°7/ii - iii^7b5/IV
I^13/iii - IV^9/ii - vii°7/V - iii°7/vi - IV^11/ii - ii^7b5/IV - vii°7/ii - iii^7b5/IV - V^7#5/vi
IV^9/ii - vii°7/V - iii°7/vi - IV^11/ii - ii^7b5/IV - vii°7/ii - iii^7b5/IV - V^7#5/vi - I^13/iii
iii°7/vi - IV^11/ii - ii^7b5/IV - vii°7/ii - iii^7b5/IV - V^7#5/vi - I^13/iii - IV^9/ii - vii°7/V
ii^7b5/IV - vii°7/ii - iii^7b5/IV - V^7#5/vi - I^13/iii - IV^9/ii - vii°"
1^13iii - IV^9/ii - vii°7/V - iii°7/vi - IV^11/ii - ii^7b5/IV - vii°7/ii - iii^7b5/IV - V^7#5/vi
IV^9/ii - vii°7/V - iii°7/vi - IV^11/ii - ii^7b5/IV - vii°7/ii - iii^7b5/IV - V^7#5/vi - I^13/iii
vii°7/V - iii°7/vi - IV^11/ii - ii^7b5/IV - vii°7/ii - iii^7b5/IV - V^7#5/vi - I^13/iii - IV^9/ii
iii°7/vi - IV^11/ii - ii^7b5/IV - vii°7/ii - iii^7b5/IV - V^7#5/vi - I^13/iii - IV^9/ii - vii°7/V
ii^7b5/IV - vii°7/ii - iii^7b5/IV - V^7#5/vi - I^13/iii - IV^9/ii - vii°7/V - iii°7/vi - IV^11/ii
V^7#5/vi - I^13/iii - IV^9/ii - vii°7/V - iii°7/vi - IV^11/ii - ii^7b5/IV - vii°7/ii - iii^7b5/IV
I^13/iii - IV^9/ii - vii°7/V - iii°7/vi - IV^11/ii - ii^7b5/IV - vii°7/ii - iii^7b5/IV - V^7#5/vi
IV^9/ii - vii°7/V - iii°7/vi - IV^11/ii - ii^7b5/IV - vii°7/ii - iii^7b5/IV - V^7#5/vi - I^13/iii
iii°7/vi - IV^11/ii - ii^7b5/IV - vii°7/ii - iii^7b5/IV - V^7#5/vi - I^13/iii - IV^9/ii - vii°7/V
ii^7b5/IV - vii°7/ii - iii^7b5/IV - V^7#5/vi - I^13/iii - IV^9/ii - vii°7/V - iii°7/vi - IV^11/ii
vii°7/V - iii°7/vi - IV^11/ii - ii^7b5/IV - vii°7/ii - iii^7b5/IV - V^7#5/vi - I^13/iii - IV^9/ii
iii°7/vi - IV^11/ii - ii^7b5/IV - Etc. "