better ode to joy

.gitmodules

@@ -1,3 +1,3 @@
 [submodule "lib/midi"]
 	path = lib/midi
-	url = git@engi.evolpe.it:pi/midi.git
+	url = https://engi.evolpe.it/pi/midi

examples/ode-to-joy.mq

@@ -1,15 +1,13 @@
-var C = c47;
-var E = e47;
-var G = g47;
-var A = a37;
+var C = chord (c 3 1) (g 3 1) (c 4 1);
+var G = chord (g 3 1) (d 4 1) (g 4 1);
 
 oct 5;
-par (C 4) e e f g;
-par (G 4) g f e d;
-par (C 4) c c d e;
-par (G 4) e d d;
-par (C 4) e e f g;
-par (G 4) g f e d;
-par (C 4) c c d e;
-par (G 4) d c;
-par (C 4) c
+par (C) e e f g;
+par (G) g f e d;
+par (C) c c d e;
+par (G) e (d 5 (1/4)) (d 5 (1/2));
+par (C) e e f g;
+par (G) g f e d;
+par (C) c c d e;
+par (G) (d 4 (3/4)) c;
+par (C) (c 4 1)

src/musique.hh

@@ -596,6 +596,8 @@ struct Number
 	auto simplify()    const -> Number;     ///< Returns self, but with gcd(num, den) == 1
 	void simplify_inplace();                ///< Update self, to have gcd(num, den) == 1
 
+	auto floor()	   const -> Number;	///< Round to first lower integer
+
 	bool operator==(Number const&) const;
 	bool operator!=(Number const&) const;
 	std::strong_ordering operator<=>(Number const&) const;
@@ -608,6 +610,7 @@ struct Number
 	Number& operator*=(Number const& rhs);
 	Number  operator/(Number const& rhs) const;
 	Number& operator/=(Number const& rhs);
+	Number operator%(Number const& rhs) const;
 
 	/// Parses source contained by token into a Number instance
 	static Result<Number> from(Token token);

src/number.cc

@@ -48,6 +48,13 @@ void Number::simplify_inplace()
 	}
 }
 
+auto Number::floor() const -> Number
+{
+	auto copy = simplify();
+	copy = copy - (copy % Number(1));
+	return copy;
+}
+
 bool Number::operator==(Number const& rhs) const
 {
 	return (*this <=> rhs) == 0;
@@ -119,6 +126,11 @@ Number& Number::operator/=(Number const& rhs)
    	return *this;
 }
 
+Number Number::operator%(Number const& rhs) const
+{
+	return Number{num % rhs.num}.simplify();
+}
+
 std::ostream& operator<<(std::ostream& os, Number const& n)
 {
 	return n.den == 1