consulta mysql para capturar múltiples rangos de fechas

Prueba esta UNION consulta:

SELECT 'All', COUNT(*) AS Total FROM yourTable
UNION
SELECT 'Past year', COUNT(*) AS Total
FROM yourTable
WHERE DATE(TIMESTAMP) > DATE_ADD(NOW(), INTERVAL -1 YEAR)
UNION
SELECT 'Past month', COUNT(*) AS Total
FROM yourTable
WHERE DATE(TIMESTAMP) > DATE_ADD(NOW(), INTERVAL -1 MONTH)
UNION
SELECT 'Past week', COUNT(*) AS Total
FROM yourTable
WHERE DATE(TIMESTAMP) > DATE_ADD(NOW(), INTERVAL -1 WEEK)