diff --git a/qiskit_experiments/calibration_management/base_calibration_experiment.py b/qiskit_experiments/calibration_management/base_calibration_experiment.py
index d453f0b31b..9a6a6118e9 100644
--- a/qiskit_experiments/calibration_management/base_calibration_experiment.py
+++ b/qiskit_experiments/calibration_management/base_calibration_experiment.py
@@ -29,7 +29,7 @@
     SetLayout,
 )
 
-from qiskit_experiments.calibration_management.calibrations import Calibrations
+from qiskit_experiments.calibration_management.base_calibrations import BaseCalibrations
 from qiskit_experiments.calibration_management.update_library import BaseUpdater
 from qiskit_experiments.framework.base_analysis import BaseAnalysis
 from qiskit_experiments.framework.base_experiment import BaseExperiment
@@ -112,7 +112,7 @@ def __init_subclass__(cls, **kwargs):
     # pylint: disable=super-init-not-called
     def __init__(
         self,
-        calibrations: Calibrations,
+        calibrations: BaseCalibrations,
         *args,
         schedule_name: Optional[str] = None,
         cal_parameter_name: Optional[str] = None,
@@ -144,7 +144,7 @@ def __init__(
         self.auto_update = auto_update
 
     @property
-    def calibrations(self) -> Calibrations:
+    def calibrations(self) -> BaseCalibrations:
         """Return the calibrations."""
         return self._cals
 
diff --git a/qiskit_experiments/calibration_management/base_calibrations.py b/qiskit_experiments/calibration_management/base_calibrations.py
new file mode 100644
index 0000000000..82b4277186
--- /dev/null
+++ b/qiskit_experiments/calibration_management/base_calibrations.py
@@ -0,0 +1,114 @@
+# This code is part of Qiskit.
+#
+# (C) Copyright IBM 2023.
+#
+# This code is licensed under the Apache License, Version 2.0. You may
+# obtain a copy of this license in the LICENSE.txt file in the root directory
+# of this source tree or at http://www.apache.org/licenses/LICENSE-2.0.
+#
+# Any modifications or derivative works of this code must retain this
+# copyright notice, and modified files need to carry a notice indicating
+# that they have been altered from the originals.
+
+"""Base calibrations class."""
+
+from abc import ABC, abstractmethod
+from typing import Dict, Tuple, Union
+
+from qiskit.circuit import Parameter
+from qiskit.pulse import ScheduleBlock
+
+from qiskit_experiments.calibration_management.parameter_value import ParameterValue
+from qiskit_experiments.calibration_management.calibration_key_types import (
+    ParameterKey,
+    ParameterValueType,
+)
+
+
+class BaseCalibrations(ABC):
+    """An abstract base calibration class that defines the methods needed by cal. experiments.
+
+    A calibration experiment uses an instance of `BaseCalibrations` that defines where
+    to get parameter values from and where to save them. This class also defines a method from
+    which to retrieve pulse-schedules.
+    """
+
+    @abstractmethod
+    def add_parameter_value(
+        self,
+        value: Union[int, float, complex, ParameterValue],
+        param: Union[Parameter, str],
+        qubits: Union[int, Tuple[int, ...]] = None,
+        schedule: Union[ScheduleBlock, str] = None,
+    ):
+        """Add a parameter value to the stored parameters.
+
+        This parameter value may be applied to several channels, for instance, all
+        DRAG pulses may have the same standard deviation.
+
+        Args:
+            value: The value of the parameter to add. If an int, float, or complex is given
+                then the timestamp of the parameter value will automatically be generated
+                and set to the current local time of the user.
+            param: The parameter or its name for which to add the measured value.
+            qubits: The qubits to which this parameter applies.
+            schedule: The schedule or its name for which to add the measured parameter value.
+        """
+
+    @abstractmethod
+    def get_parameter_value(
+        self,
+        param: Union[Parameter, str],
+        qubits: Union[int, Tuple[int, ...]],
+        schedule: Union[ScheduleBlock, str, None] = None,
+    ) -> Union[int, float, complex]:
+        """Retrieves the value of a parameter.
+
+        Parameters may be linked. :meth:`get_parameter_value` does the following steps:
+
+        Args:
+            param: The parameter or the name of the parameter for which to get the parameter value.
+            qubits: The qubits for which to get the value of the parameter.
+            schedule: The schedule or its name for which to get the parameter value.
+
+        Returns:
+            value: The value of the parameter.
+        """
+
+    @abstractmethod
+    def get_schedule(
+        self,
+        name: str,
+        qubits: Union[int, Tuple[int, ...]],
+        assign_params: Dict[Union[str, ParameterKey], ParameterValueType] = None,
+    ) -> ScheduleBlock:
+        """Get the template schedule with parameters assigned to values.
+
+        All the parameters in the template schedule block will be assigned to the values managed
+        by the calibrations unless they are specified in assign_params. In this case the value in
+        assign_params will override the value stored by the calibrations. A parameter value in
+        assign_params may also be a :class:`ParameterExpression`.
+
+        .. code-block:: python
+
+            # Get an xp schedule with a parametric amplitude
+            sched = cals.get_schedule("xp", 3, assign_params={"amp": Parameter("amp")})
+
+            # Get an echoed-cross-resonance schedule between qubits (0, 2) where the xp echo gates
+            # are referenced schedules but leave their amplitudes as parameters.
+            assign_dict = {("amp", (0,), "xp"): Parameter("my_amp")}
+            sched = cals.get_schedule("cr", (0, 2), assign_params=assign_dict)
+
+        Args:
+            name: The name of the schedule to get.
+            qubits: The qubits for which to get the schedule.
+            assign_params: The parameters to assign manually. Each parameter is specified by a
+                ParameterKey which is a named tuple of the form (parameter name, qubits,
+                schedule name). Each entry in assign_params can also be a string corresponding
+                to the name of the parameter. In this case, the schedule name and qubits of the
+                corresponding ParameterKey will be the name and qubits given as arguments to
+                get_schedule.
+
+        Returns:
+            schedule: A copy of the template schedule with all parameters assigned.
+        """
diff --git a/qiskit_experiments/calibration_management/calibrations.py b/qiskit_experiments/calibration_management/calibrations.py
index 0ee98c707b..4ac8105f53 100644
--- a/qiskit_experiments/calibration_management/calibrations.py
+++ b/qiskit_experiments/calibration_management/calibrations.py
@@ -38,6 +38,7 @@
 from qiskit.utils.deprecation import deprecate_func, deprecate_arg
 
 from qiskit_experiments.exceptions import CalibrationError
+from qiskit_experiments.calibration_management.base_calibrations import BaseCalibrations
 from qiskit_experiments.calibration_management.basis_gate_library import BasisGateLibrary
 from qiskit_experiments.calibration_management.parameter_value import ParameterValue
 from qiskit_experiments.calibration_management.control_channel_map import ControlChannelMap
@@ -55,7 +56,7 @@
 from qiskit_experiments.framework import BackendData, ExperimentEncoder, ExperimentDecoder
 
 
-class Calibrations:
+class Calibrations(BaseCalibrations):
     """
     A class to manage schedules with calibrated parameter values. Schedules are
     intended to be fully parameterized, including the index of the channels. See
diff --git a/qiskit_experiments/calibration_management/update_library.py b/qiskit_experiments/calibration_management/update_library.py
index ff6009432c..f0a0d7d095 100644
--- a/qiskit_experiments/calibration_management/update_library.py
+++ b/qiskit_experiments/calibration_management/update_library.py
@@ -20,7 +20,7 @@
 from qiskit.pulse import ScheduleBlock
 
 from qiskit_experiments.framework.experiment_data import ExperimentData
-from qiskit_experiments.calibration_management.calibrations import Calibrations
+from qiskit_experiments.calibration_management.base_calibrations import BaseCalibrations
 from qiskit_experiments.calibration_management.parameter_value import ParameterValue
 from qiskit_experiments.calibration_management.calibration_key_types import ParameterValueType
 from qiskit_experiments.exceptions import CalibrationError
@@ -60,7 +60,7 @@ def _time_stamp(exp_data: ExperimentData) -> datetime:
     @classmethod
     def add_parameter_value(
         cls,
-        cal: Calibrations,
+        cal: BaseCalibrations,
         exp_data: ExperimentData,
         value: ParameterValueType,
         param: Union[Parameter, str],
@@ -94,7 +94,7 @@ def add_parameter_value(
     @classmethod
     def update(
         cls,
-        calibrations: Calibrations,
+        calibrations: BaseCalibrations,
         exp_data: ExperimentData,
         parameter: str,
         schedule: Optional[Union[ScheduleBlock, str]],
@@ -146,7 +146,7 @@ class Frequency(BaseUpdater):
     @classmethod
     def update(
         cls,
-        calibrations: Calibrations,
+        calibrations: BaseCalibrations,
         exp_data: ExperimentData,
         result_index: Optional[int] = None,
         parameter: str = "drive_freq",
diff --git a/qiskit_experiments/library/calibration/fine_amplitude.py b/qiskit_experiments/library/calibration/fine_amplitude.py
index 8e3ff17972..ccf0ab6034 100644
--- a/qiskit_experiments/library/calibration/fine_amplitude.py
+++ b/qiskit_experiments/library/calibration/fine_amplitude.py
@@ -18,10 +18,8 @@
 from qiskit.circuit import Gate, QuantumCircuit
 from qiskit.providers.backend import Backend
 
-from qiskit_experiments.calibration_management import (
-    BaseCalibrationExperiment,
-    Calibrations,
-)
+from qiskit_experiments.calibration_management import BaseCalibrationExperiment
+from qiskit_experiments.calibration_management.base_calibrations import BaseCalibrations
 from qiskit_experiments.library.characterization import FineAmplitude
 from qiskit_experiments.framework import ExperimentData, Options
 from qiskit_experiments.calibration_management.update_library import BaseUpdater
@@ -41,7 +39,7 @@ class FineAmplitudeCal(BaseCalibrationExperiment, FineAmplitude):
     def __init__(
         self,
         physical_qubits: Sequence[int],
-        calibrations: Calibrations,
+        calibrations: BaseCalibrations,
         schedule_name: str,
         backend: Optional[Backend] = None,
         cal_parameter_name: Optional[str] = "amp",
@@ -161,7 +159,7 @@ class FineXAmplitudeCal(FineAmplitudeCal):
     def __init__(
         self,
         physical_qubits: Sequence[int],
-        calibrations: Calibrations,
+        calibrations: BaseCalibrations,
         schedule_name: str,
         backend: Optional[Backend] = None,
         cal_parameter_name: Optional[str] = "amp",
@@ -209,7 +207,7 @@ class FineSXAmplitudeCal(FineAmplitudeCal):
     def __init__(
         self,
         physical_qubits: Sequence[int],
-        calibrations: Calibrations,
+        calibrations: BaseCalibrations,
         schedule_name: str,
         backend: Optional[Backend] = None,
         cal_parameter_name: Optional[str] = "amp",
diff --git a/qiskit_experiments/library/calibration/fine_drag_cal.py b/qiskit_experiments/library/calibration/fine_drag_cal.py
index 7c52e2d6bd..39e7118259 100644
--- a/qiskit_experiments/library/calibration/fine_drag_cal.py
+++ b/qiskit_experiments/library/calibration/fine_drag_cal.py
@@ -21,10 +21,8 @@
 
 from qiskit_experiments.exceptions import CalibrationError
 from qiskit_experiments.framework import ExperimentData, Options
-from qiskit_experiments.calibration_management import (
-    BaseCalibrationExperiment,
-    Calibrations,
-)
+from qiskit_experiments.calibration_management import BaseCalibrationExperiment
+from qiskit_experiments.calibration_management.base_calibrations import BaseCalibrations
 from qiskit_experiments.calibration_management.update_library import BaseUpdater
 from qiskit_experiments.library.characterization.fine_drag import FineDrag
 
@@ -35,7 +33,7 @@ class FineDragCal(BaseCalibrationExperiment, FineDrag):
     def __init__(
         self,
         physical_qubits: Sequence[int],
-        calibrations: Calibrations,
+        calibrations: BaseCalibrations,
         schedule_name: str,
         backend: Optional[Backend] = None,
         cal_parameter_name: Optional[str] = "β",
@@ -153,7 +151,7 @@ class FineXDragCal(FineDragCal):
     def __init__(
         self,
         physical_qubits: Sequence[int],
-        calibrations: Calibrations,
+        calibrations: BaseCalibrations,
         backend: Optional[Backend] = None,
         cal_parameter_name: Optional[str] = "β",
         auto_update: bool = True,
@@ -185,7 +183,7 @@ class FineSXDragCal(FineDragCal):
     def __init__(
         self,
         physical_qubits: Sequence[int],
-        calibrations: Calibrations,
+        calibrations: BaseCalibrations,
         backend: Optional[Backend] = None,
         cal_parameter_name: Optional[str] = "β",
         auto_update: bool = True,
diff --git a/qiskit_experiments/library/calibration/fine_frequency_cal.py b/qiskit_experiments/library/calibration/fine_frequency_cal.py
index 5fe3251f89..fe61161689 100644
--- a/qiskit_experiments/library/calibration/fine_frequency_cal.py
+++ b/qiskit_experiments/library/calibration/fine_frequency_cal.py
@@ -20,10 +20,8 @@
 
 from qiskit_experiments.framework import ExperimentData
 from qiskit_experiments.calibration_management.update_library import BaseUpdater
-from qiskit_experiments.calibration_management import (
-    BaseCalibrationExperiment,
-    Calibrations,
-)
+from qiskit_experiments.calibration_management import BaseCalibrationExperiment
+from qiskit_experiments.calibration_management.base_calibrations import BaseCalibrations
 from qiskit_experiments.library.characterization.fine_frequency import FineFrequency
 
 
@@ -33,7 +31,7 @@ class FineFrequencyCal(BaseCalibrationExperiment, FineFrequency):
     def __init__(
         self,
         physical_qubits: Sequence[int],
-        calibrations: Calibrations,
+        calibrations: BaseCalibrations,
         backend: Optional[Backend] = None,
         cal_parameter_name: Optional[str] = "drive_freq",
         delay_duration: Optional[int] = None,
diff --git a/qiskit_experiments/library/calibration/frequency_cal.py b/qiskit_experiments/library/calibration/frequency_cal.py
index 5f683b217d..0f2d9372e6 100644
--- a/qiskit_experiments/library/calibration/frequency_cal.py
+++ b/qiskit_experiments/library/calibration/frequency_cal.py
@@ -19,7 +19,7 @@
 
 from qiskit_experiments.framework import ExperimentData
 from qiskit_experiments.library.characterization.ramsey_xy import RamseyXY
-from qiskit_experiments.calibration_management.calibrations import Calibrations
+from qiskit_experiments.calibration_management.base_calibrations import BaseCalibrations
 from qiskit_experiments.calibration_management.update_library import BaseUpdater
 from qiskit_experiments.calibration_management.base_calibration_experiment import (
     BaseCalibrationExperiment,
@@ -32,7 +32,7 @@ class FrequencyCal(BaseCalibrationExperiment, RamseyXY):
     def __init__(
         self,
         physical_qubits: Sequence[int],
-        calibrations: Calibrations,
+        calibrations: BaseCalibrations,
         backend: Optional[Backend] = None,
         cal_parameter_name: Optional[str] = "drive_freq",
         delays: Optional[List] = None,
diff --git a/qiskit_experiments/library/calibration/half_angle_cal.py b/qiskit_experiments/library/calibration/half_angle_cal.py
index e56ca7f7df..bba906de68 100644
--- a/qiskit_experiments/library/calibration/half_angle_cal.py
+++ b/qiskit_experiments/library/calibration/half_angle_cal.py
@@ -19,10 +19,8 @@
 
 from qiskit_experiments.framework import ExperimentData
 from qiskit_experiments.exceptions import CalibrationError
-from qiskit_experiments.calibration_management import (
-    BaseCalibrationExperiment,
-    Calibrations,
-)
+from qiskit_experiments.calibration_management import BaseCalibrationExperiment
+from qiskit_experiments.calibration_management.base_calibrations import BaseCalibrations
 from qiskit_experiments.library.characterization import HalfAngle
 from qiskit_experiments.calibration_management.update_library import BaseUpdater
 
@@ -33,7 +31,7 @@ class HalfAngleCal(BaseCalibrationExperiment, HalfAngle):
     def __init__(
         self,
         physical_qubits: Sequence[int],
-        calibrations: Calibrations,
+        calibrations: BaseCalibrations,
         backend: Optional[Backend] = None,
         schedule_name: str = "sx",
         cal_parameter_name: Optional[str] = "angle",
@@ -98,7 +96,7 @@ def __init__(
         )
 
     def _metadata(self) -> Dict[str, any]:
-        """Add metadata to the experiment data making it more self contained.
+        """Add metadata to the experiment data making it more self-contained.
 
         The following keys are added to the experiment's metadata:
             cal_param_value: The value of the pulse amplitude. This value together with
diff --git a/qiskit_experiments/library/calibration/rough_amplitude_cal.py b/qiskit_experiments/library/calibration/rough_amplitude_cal.py
index c6bea05d53..bcd13f2cb0 100644
--- a/qiskit_experiments/library/calibration/rough_amplitude_cal.py
+++ b/qiskit_experiments/library/calibration/rough_amplitude_cal.py
@@ -21,7 +21,9 @@
 from qiskit.providers.backend import Backend
 
 from qiskit_experiments.framework import ExperimentData
-from qiskit_experiments.calibration_management import BaseCalibrationExperiment, Calibrations
+from qiskit_experiments.calibration_management import BaseCalibrationExperiment
+from qiskit_experiments.calibration_management.base_calibrations import BaseCalibrations
+from qiskit_experiments.exceptions import CalibrationError
 from qiskit_experiments.library.characterization import Rabi
 from qiskit_experiments.calibration_management.update_library import BaseUpdater
 
@@ -36,7 +38,7 @@ class RoughAmplitudeCal(BaseCalibrationExperiment, Rabi):
     def __init__(
         self,
         physical_qubits: Sequence[int],
-        calibrations: Calibrations,
+        calibrations: BaseCalibrations,
         schedule_name: str = "x",
         amplitudes: Iterable[float] = None,
         cal_parameter_name: Optional[str] = "amp",
@@ -194,7 +196,7 @@ class RoughXSXAmplitudeCal(RoughAmplitudeCal):
     def __init__(
         self,
         physical_qubits: Sequence[int],
-        calibrations: Calibrations,
+        calibrations: BaseCalibrations,
         amplitudes: Iterable[float] = None,
         backend: Optional[Backend] = None,
     ):
@@ -227,7 +229,7 @@ class EFRoughXSXAmplitudeCal(RoughAmplitudeCal):
     def __init__(
         self,
         physical_qubits: Sequence[int],
-        calibrations: Calibrations,
+        calibrations: BaseCalibrations,
         amplitudes: Iterable[float] = None,
         backend: Optional[Backend] = None,
         ef_pulse_label: str = "12",
@@ -281,6 +283,8 @@ def _attach_calibrations(self, circuit: QuantumCircuit):
         # Attach the x calibration as well if it is in self._cals. We allow for
         # it not to be present in case a user wants to rely on the default x
         # calibration and only calibrate the pulses between levels 1 and 2.
-        if self._cals.has_template("x", self.physical_qubits):
+        try:
             schedule = self._cals.get_schedule("x", self.physical_qubits)
             circuit.add_calibration("x", self.physical_qubits, schedule)
+        except CalibrationError:
+            pass
diff --git a/qiskit_experiments/library/calibration/rough_drag_cal.py b/qiskit_experiments/library/calibration/rough_drag_cal.py
index 53c0efcb63..63edbc2cb7 100644
--- a/qiskit_experiments/library/calibration/rough_drag_cal.py
+++ b/qiskit_experiments/library/calibration/rough_drag_cal.py
@@ -18,10 +18,8 @@
 from qiskit.providers.backend import Backend
 
 from qiskit_experiments.framework import ExperimentData
-from qiskit_experiments.calibration_management import (
-    BaseCalibrationExperiment,
-    Calibrations,
-)
+from qiskit_experiments.calibration_management import BaseCalibrationExperiment
+from qiskit_experiments.calibration_management.base_calibrations import BaseCalibrations
 from qiskit_experiments.calibration_management.update_library import BaseUpdater
 from qiskit_experiments.library.characterization.drag import RoughDrag
 
@@ -37,7 +35,7 @@ class RoughDragCal(BaseCalibrationExperiment, RoughDrag):
     def __init__(
         self,
         physical_qubits: Sequence[int],
-        calibrations: Calibrations,
+        calibrations: BaseCalibrations,
         backend: Optional[Backend] = None,
         schedule_name: str = "x",
         betas: Iterable[float] = None,
diff --git a/qiskit_experiments/library/calibration/rough_frequency.py b/qiskit_experiments/library/calibration/rough_frequency.py
index a40f7dcb80..3168737766 100644
--- a/qiskit_experiments/library/calibration/rough_frequency.py
+++ b/qiskit_experiments/library/calibration/rough_frequency.py
@@ -20,7 +20,7 @@
 from qiskit_experiments.library.characterization.qubit_spectroscopy import QubitSpectroscopy
 from qiskit_experiments.library.characterization.ef_spectroscopy import EFSpectroscopy
 from qiskit_experiments.calibration_management.update_library import Frequency
-from qiskit_experiments.calibration_management.calibrations import Calibrations
+from qiskit_experiments.calibration_management.base_calibrations import BaseCalibrations
 from qiskit_experiments.calibration_management.base_calibration_experiment import (
     BaseCalibrationExperiment,
 )
@@ -33,7 +33,7 @@ class RoughFrequencyCal(BaseCalibrationExperiment, QubitSpectroscopy):
     def __init__(
         self,
         physical_qubits: Sequence[int],
-        calibrations: Calibrations,
+        calibrations: BaseCalibrations,
         frequencies: Iterable[float],
         backend: Optional[Backend] = None,
         auto_update: bool = True,
@@ -86,7 +86,7 @@ class RoughEFFrequencyCal(BaseCalibrationExperiment, EFSpectroscopy):
     def __init__(
         self,
         physical_qubits: Sequence[int],
-        calibrations: Calibrations,
+        calibrations: BaseCalibrations,
         frequencies: Iterable[float],
         backend: Optional[Backend] = None,
         auto_update: bool = True,
diff --git a/releasenotes/notes/base_calibrations-220741e03e5c7279.yaml b/releasenotes/notes/base_calibrations-220741e03e5c7279.yaml
new file mode 100644
index 0000000000..ca869efa76
--- /dev/null
+++ b/releasenotes/notes/base_calibrations-220741e03e5c7279.yaml
@@ -0,0 +1,10 @@
+---
+features:
+  - |
+    A :class:`.BaseCalibrations` class is introduced as an abstract base class
+    of Qiskit Experiments calibrations. All calibration subclasses must inherit 
+    from the abstract base class and implement all defined methods.
+    All calibration experiment classes can rely on the methods defined in 
+    :class:`.BaseCalibrations`. However, custom methods implemented in a
+    particular subclass may not necessarily be implemented in general and should
+    not be used in calibration experiments.
diff --git a/test/calibration/test_base_calibration_experiment.py b/test/calibration/test_base_calibration_experiment.py
index 8227e89eee..2e45a3cf0e 100644
--- a/test/calibration/test_base_calibration_experiment.py
+++ b/test/calibration/test_base_calibration_experiment.py
@@ -18,10 +18,8 @@
 from qiskit.circuit import Parameter
 from qiskit.pulse import Play, Constant, DriveChannel, ScheduleBlock
 
-from qiskit_experiments.calibration_management.base_calibration_experiment import (
-    BaseCalibrationExperiment,
-    Calibrations,
-)
+from qiskit_experiments.calibration_management import BaseCalibrationExperiment
+from qiskit_experiments.calibration_management import Calibrations
 from qiskit_experiments.framework.composite import ParallelExperiment, BatchExperiment
 from qiskit_experiments.library import QubitSpectroscopy
 from qiskit_experiments.test.fake_backend import FakeBackend