• Female or male, aged between ≥ 40 and ≤80 years

• Normal LVEF AND absence of akinetic segment assessed by echocardiography (i.e. LVEF≥50%)

• Patients diagnosed according to the specific diagnostic criteria of each disease (Cf. table below (definition criteria)). For each group, the diagnosis will be based on current accepted criteria:

‣ HFpEF: left ventricular ejection fraction (LVEF) LVEF≥50% AND presence/or history of symptoms (e.g. breathlessness, ankle swelling and fatigue) or signs (e.g. elevated jugular venous pressure, pulmonary crackles and peripheral oedema) of heart failure AND significant diastolic dysfunction (left atrial volume index \>34 mL/m2 or a LVMI ≥115 g/m2 for males and ≥95 g/m2 for female, E/e' ≥13 and e' \<9 cm/s) OR NT-proBNP \>125 pg/Ml

⁃ No HFpEF: LVEF≥50% AND absence of symptoms (e.g. breathlessness, ankle swelling and fatigue) or signs (e.g. elevated jugular venous pressure, pulmonary crackles and peripheral oedema) of heart failure

⁃ T2DM: HbA1c ≥ 6.5% (≥ 48 mmol/L) AND Fasting Plasma Glucose ≥7.0 mmol/L (≥126 mg/dL) or anti-diabetic treatment

⁃ Non T2DM: HbA1c \< 6.5% AND Fasting Plasma Glucose \<7.0 mmol/L without any anti-diabetic treatment including normoglycemic subjects

⁃ HCM: patients with non-obstructive HCM of sarcomeric cause (proven with common genetic cause) and with LV wall thickness ≥ 15 mm in one or more myocardial segments in the absence of abnormal afterload conditions.

• Suitable echocardiographic window

• Absence of history of coronary artery disease including history of myocardial ischaemia, myocardial infarction or percutaneous coronary intervention

• Absence of significant coronary artery disease (CAD) defined as:

‣ the absence of coronary artery stenosis ≥50% on a cardiac computed tomography (CT) OR a coronary angiography OR normal Fractional Flow Reserve (FFR \>0.80) OR

⁃ Coronary Artery Calcium score (CAC) \<100 performed within the 48 months before inclusion

• Patient covered by a health insurance